Finite Group Databasebeta

← Group #11871268

Character table — Group #11871268

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order122222334466666612121212346666666121212121212121244444466881212122424242424242424242424242424242444444121212121212121224881212121224242424222261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1111-1-111111111-1-111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-1-11
χ101111-1-1111111111111111-1-1-1-1-1111-1-111111111-1-111-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-11111-1-1-1-111-111-1
χ111111-1-1111111111111111-1-1-1-1-1111-1-111111111-1-111-1-1-11-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-11-1111-1-1-1-11111-1-1-111-1
χ121111-1-1111111111111111-1-1-1-1-1111-1-111111111-1-111-1-1-11-1-1-1-1-111-1-1-1-1-1-1111111-1-111-11111-1-1-1-11-1-11-1-111-1-111-1-1111-1-11
χ131111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11-1-1-1-111111-1-1111-1-1-1-111-1-1111-11-1
χ141111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-11-11-1-111-1-11111-1-1-11-11
χ151111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-111111111-1-11-1-1-1-11111-111-111-1-111-1-1-1-111-11-11
χ161111-1-1111111111111111-1-1-1-1-1111-1-1111111-1-111-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-1-1-11111-1-111-1-11-11-1
χ1722222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-22222-2-22200-2-2-200000000000000000000-222-2-222-2-200000000000000000000
χ1822222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-2-2-2222200-2-2-2000000000000000000002-2-222-2-22200000000000000000000
χ192222222-1222-122-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1000000-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000002200-1-1-1-100000000-1-100
χ202222222-1222-122-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1000000-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000-2-2001111000000001100
χ212222222-1222-122-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1000000-1-1-2-2-1-1-1-2-2-2-21111111111112222000000000-2-200-1-1-1-1000000001100
χ222222222-1222-122-1-12222-1222-1-1-1-1-122-1-1-1-1-1-1000000-1-1-2-2-1-1-1-2-2-2-2111111111111-2-2-2-20000000002200111100000000-1-100
χ23222222-1222-12-1-122-1-1-1-1-12-1-122-1-1-1-1-122-1-1-1-1222222-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-100002-1-1-1-1-1-1-1-100220000-1-1-1-100000000
χ24222222-1222-12-1-122-1-1-1-1-12-1-122-1-1-1-1-122-1-1-1-1222222-1-1-2-22-1-11111-2-21111-2-2111100002-1-1-1-1-1-1-1-100-2-20000111100000000
χ25222222-1222-12-1-122-1-1-1-1-12-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-21111111100-2-20000111100000000
χ26222222-1222-12-1-122-1-1-1-1-12-1-122-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-1-1-2-22-1-11111-2-21111-2-211110000-21111111100220000-1-1-1-100000000
χ27222222-12-2-2-12-1-1221111-1-2-1-122-1-1-111-2-211112222-2-2-1-100-2113−33−30033−3−30033−3−30000-2-1-111-1-111000000003−33−300000000
χ28222222-12-2-2-12-1-1221111-1-2-1-122-1-1-111-2-211112222-2-2-1-100-211−33−3300−3−33300−3−3330000-2-1-111-1-11100000000−33−3300000000
χ29222222-12-2-2-12-1-1221111-1-2-1-122-1-1-111-2-21111-2-2-2-222-1-100-2113−33−30033−3−30033−3−30000211-1-111-1-100000000−33−3300000000
χ30222222-12-2-2-12-1-1221111-1-2-1-122-1-1-111-2-21111-2-2-2-222-1-100-211−33−3300−3−33300−3−3330000211-1-111-1-1000000003−33−300000000
χ312222-2-222-2-2222222-2-2-2-222-2-2-2-222222-2-2-2-2-2-222-2-2-2-2-2-20022200000000000000000000222-2-2-2-22200000000000000000000
χ322222-2-222-2-2222222-2-2-2-222-2-2-2-222222-2-2-2-2-2-2-2-22222-2-20022200000000000000000000-2-2-22222-2-200000000000000000000
χ332222-2-22-1222-122-1-12222-1-2-2-211-1-1-1-2-2-1-1-1-1-1-1000000112-211122-2-2-1-1-1-1-1-111111122-2-20000000002-200-1-11100000000-1100
χ342222-2-22-1222-122-1-12222-1-2-2-211-1-1-1-2-2-1-1-1-1-1-1000000112-211122-2-2-1-1-1-1-1-1111111-2-222000000000-220011-1-1000000001-100
χ352222-2-22-1222-122-1-12222-1-2-2-211-1-1-1-2-2-1-1-1-1-1-100000011-22111-2-222111111-1-1-1-1-1-122-2-2000000000-2200-1-111000000001-100
χ362222-2-22-1222-122-1-12222-1-2-2-211-1-1-1-2-2-1-1-1-1-1-100000011-22111-2-222111111-1-1-1-1-1-1-2-2220000000002-20011-1-100000000-1100
χ372222-2-2-1222-12-1-122-1-1-1-1-1-211-2-2-1-1-11122-1-1-1-122-2-222112-2-211-1-11122-1-1-1-1-2-211110000-2-1-1-1-11111002-20000-1-11100000000
χ382222-2-2-1222-12-1-122-1-1-1-1-1-211-2-2-1-1-11122-1-1-1-122-2-22211-22-21111-1-1-2-2111122-1-1-1-10000-2-1-1-1-1111100-22000011-1-100000000
χ392222-2-2-1222-12-1-122-1-1-1-1-1-211-2-2-1-1-11122-1-1-1-1-2-222-2-2112-2-211-1-11122-1-1-1-1-2-21111000021111-1-1-1-100-22000011-1-100000000
χ402222-2-2-1222-12-1-122-1-1-1-1-1-211-2-2-1-1-11122-1-1-1-1-2-222-2-211-22-21111-1-1-2-2111122-1-1-1-1000021111-1-1-1-1002-20000-1-11100000000
χ412222-2-2-12-2-2-12-1-1221111-1211-2-2-1-1-1-1-1-2-2111122-2-2-2-211002-1-13−3−330033−3−300−3−33300002-1-11111-1-1000000003−3−3300000000
χ422222-2-2-12-2-2-12-1-1221111-1211-2-2-1-1-1-1-1-2-2111122-2-2-2-211002-1-1−333−300−3−3330033−3−300002-1-11111-1-100000000−333−300000000
χ432222-2-2-12-2-2-12-1-1221111-1211-2-2-1-1-1-1-1-2-21111-2-2222211002-1-13−3−330033−3−300−3−3330000-211-1-1-1-11100000000−333−300000000
χ442222-2-2-12-2-2-12-1-1221111-1211-2-2-1-1-1-1-1-2-21111-2-2222211002-1-1−333−300−3−3330033−3−30000-211-1-1-1-111000000003−3−3300000000
χ4522-2-200222-222-2-2-2-222-2-2200000-2-22002-222-2-22i−2i002i−2i00000000000000000000000002i−2i02i−2i2i−2i00000000002i−2i0000002-20000
χ4622-2-200222-222-2-2-2-222-2-2200000-2-22002-222-2-22i−2i002i−2i0000000000000000000000000−2i2i02i−2i2i−2i0000000000−2i2i000000-220000
χ4722-2-200222-222-2-2-2-222-2-2200000-2-22002-222-2-2−2i2i00−2i2i00000000000000000000000002i−2i0−2i2i−2i2i00000000002i−2i000000-220000
χ4822-2-200222-222-2-2-2-222-2-2200000-2-22002-222-2-2−2i2i00−2i2i0000000000000000000000000−2i2i0−2i2i−2i2i0000000000−2i2i0000002-20000
χ4922-2-20022-2222-2-2-2-2-2-222200000-2-2200-22-2-2222i−2i00−2i2i000000000000000000000002i−2i0002i−2i−2i2i000000002i−2i0000002-2000000
χ5022-2-20022-2222-2-2-2-2-2-222200000-2-2200-22-2-2222i−2i00−2i2i00000000000000000000000−2i2i0002i−2i−2i2i00000000−2i2i000000-22000000
χ5122-2-20022-2222-2-2-2-2-2-222200000-2-2200-22-2-222−2i2i002i−2i000000000000000000000002i−2i000−2i2i2i−2i000000002i−2i000000-22000000
χ5222-2-20022-2222-2-2-2-2-2-222200000-2-2200-22-2-222−2i2i002i−2i00000000000000000000000−2i2i000−2i2i2i−2i00000000−2i2i0000002-2000000
χ534444444-2-4-44-244-2-2-4-4-4-4-2-444-2-2-2-2-2-4-4222222000000-2-2002220000000000000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-2-2-2-2-214-2-2-2-2111-2-2-2-211110000001144-211-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2-2-2-2-214-2-2-2-2111-2-2-2-2111100000011-4-4-211222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-222221-4-2-2-2-21112222-1-1-1-100000011002-1-123−2323−2300−3−33300−3−333000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-222221-4-2-2-2-21112222-1-1-1-100000011002-1-1−2323−23230033−3−30033−3−3000000000000000000000000000000000
χ584444-4-44-2-4-44-244-2-2-4-4-4-4-24-4-422-2-2-2442222220000002200-2-2-20000000000000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-2-2-2-2-21-4222211122-2-21111000000-1-14-42-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-2-2-2-2-21-4222211122-2-21111000000-1-1-442-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-22222142222111-2-222-1-1-1-1000000-1-100-21123−23−232300−3−3330033−3−3000000000000000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-22222142222111-2-222-1-1-1-1000000-1-100-211−232323−230033−3−300−3−333000000000000000000000000000000000
χ6344-4-4004-24-44-2-4-42244-4-4-20000022-200-22-2-22200000000000000000000000000000004i−4i000000000000000−2i2i000000000000
χ6444-4-4004-24-44-2-4-42244-4-4-20000022-200-22-2-2220000000000000000000000000000000−4i4i0000000000000002i−2i000000000000
χ6544-4-4004-2-444-2-4-422-4-444-20000022-2002-222-2-2000000000000000000000000000004i−4i000000000000000−2i2i00000000000000
χ6644-4-4004-2-444-2-4-422-4-444-20000022-2002-222-2-200000000000000000000000000000−4i4i0000000000000002i−2i00000000000000
χ6744-4-400-244-4-2422-4-4-2-222-20000022-2004-4-2-2224i−4i004i−4i0000000000000000000000000000−2i2i−2i2i000000000000000000000000
χ6844-4-400-244-4-2422-4-4-2-222-20000022-2004-4-2-222−4i4i00−4i4i00000000000000000000000000002i−2i2i−2i000000000000000000000000
χ6944-4-400-24-44-2422-4-422-2-2-20000022-200-4422-2-24i−4i00−4i4i0000000000000000000000000000−2i2i2i−2i000000000000000000000000
χ7044-4-400-24-44-2422-4-422-2-2-20000022-200-4422-2-2−4i4i004i−4i00000000000000000000000000002i−2i−2i2i000000000000000000000000
χ714-44-4004400-4-44-4-4400004000004-4-400000000004-400000000000000000000000000000000004-40000000000000000000000
χ724-44-4004400-4-44-4-4400004000004-4-40000000000-440000000000000000000000000000000000-440000000000000000000000
χ734-44-400-24002-4-22-4423−2323−23-200000-222000023−2323−23004-40000000000000000000000000000000000-2223−2300000000000000000000
χ744-44-400-24002-4-22-4423−2323−23-200000-222000023−2323−2300-4400000000000000000000000000000000002-2−232300000000000000000000
χ754-44-400-24002-4-22-44−2323−2323-200000-2220000−2323−2323004-40000000000000000000000000000000000-22−232300000000000000000000
χ764-44-400-24002-4-22-44−2323−2323-200000-2220000−2323−232300-4400000000000000000000000000000000002-223−2300000000000000000000
χ774-4-444-44400-4-4-444-40000404-44-4-44-4000000000000004-4000000000000000000000000000000000000000000000000000000
χ784-4-444-44-200-42-44-220000-204-4-222-2200000000000000-220000000006−66−66−66−66−66−6000000000000000000000000000000000
χ794-4-444-44-200-42-44-220000-204-4-222-2200000000000000-22000000000−66−66−66−66−66−66000000000000000000000000000000000
χ804-4-444-4-24002-42-24-423−23−2323-20-224-42-2223−230023−23−2323000000-2200023−230000000000000000000000000000000000000000000000000
χ814-4-444-4-24002-42-24-4−232323−23-20-224-42-22−232300−232323−23000000-22000−23230000000000000000000000000000000000000000000000000
χ824-4-444-4-2-200222-2-2223−23−232310-22-22-11-123−2300−333−30000001-1000−3300006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ834-4-444-4-2-200222-2-2223−23−232310-22-22-11-123−2300−333−30000001-1000−330000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ844-4-444-4-2-200222-2-22−232323−2310-22-22-11-1−2323003−3−330000001-10003−300006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ854-4-444-4-2-200222-2-22−232323−2310-22-22-11-1−2323003−3−330000001-10003−30000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ864-4-44-444400-4-4-444-4000040-44-44-44-400000000000000-44000000000000000000000000000000000000000000000000000000
χ874-4-44-444-200-42-44-220000-20-442-22-22000000000000002-20000000006−66−66−6−66−66−66000000000000000000000000000000000
χ884-4-44-444-200-42-44-220000-20-442-22-22000000000000002-2000000000−66−66−666−66−66−6000000000000000000000000000000000
χ894-4-44-44-24002-42-24-423−23−2323-202-2-442-22−23230023−23−23230000002-2000−23230000000000000000000000000000000000000000000000000
χ904-4-44-44-24002-42-24-4−232323−23-202-2-442-2223−2300−232323−230000002-200023−230000000000000000000000000000000000000000000000000
χ914-4-44-44-2-200222-2-2223−23−2323102-22-2-11-1−232300−333−3000000-110003−300006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ924-4-44-44-2-200222-2-2223−23−2323102-22-2-11-1−232300−333−3000000-110003−30000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ934-4-44-44-2-200222-2-22−232323−23102-22-2-11-123−23003−3−33000000-11000−3300006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ944-4-44-44-2-200222-2-22−232323−23102-22-2-11-123−23003−3−33000000-11000−330000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ9588-8-800-4-48-8-4-44444-4-444200000-2-2200-4422-2-200000000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-4-88-4-4444444-4-4200000-2-22004-4-2-22200000000000000000000000000000000000000000000000000000000000000
χ978-88-8008-400-848-84-40000-400000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40044-444-443−4343−432000002-2-20000−2323−232300000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40044-444-4−4343−43432000002-2-2000023−2323−2300000000000000000000000000000000000000000000000000000000000000

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