Finite Group Databasebeta

← Group #11868994

Character table — Group #11868994

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444444448888242424242424242444121212121212121212121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-11-1111-1-1-111-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-11-1
χ101111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-11-1-1-11-11111-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-111-11
χ111111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1111-11-1-1-1-111-1-1-1-111111-1-1-11111-1-111-1-1-1-111-11
χ121111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-111111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-11-1-1-1111-1-111-1-1-1-11111-11-1-111-1-111-1-11111-1-11-1
χ131111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-11111111-1111-1-1-1-1-111-1-1-1-11111-1111-1-111-1-1-1-11111-1-1-11
χ141111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-11111111-1-1-11-111-1-111-1-1-1-111111-111-1-1-1-11111-1-1-1-1111-1
χ151111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1111-11-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1111-1
χ161111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-11-1-1-111111-1-11111-1-1-1-11-1-1-111-1-11111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000002-200-2200000000000000002-22-200000000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000-22002-20000000000000000-22-2200000000000000
χ192222222-122222-122-1-12222-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220022000000000000220000-1-1-1-1-1-1-1-1000000
χ202222222-122222-122-1-12222-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-2-2000011111111000000
χ212222222-122222-122-1-12222-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100220022000000000000-2-20000-1-1-1-11111000000
χ222222222-122222-122-1-12222-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100-2-200-2-20000000000002200001111-1-1-1-1000000
χ23222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-12-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1220022002222-1-1-1-1-1-1-1-100-1-1-1-100000000000000
χ24222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-12-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-200-2-200-2-2-2-21111111100111100000000000000
χ25222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-12-1-122-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111122002200-2-2-2-21111111100-1-1-1-100000000000000
χ26222222-122222-12-1-122-1-1-1-1-1-1-122-1-1-12-1-122-1-12-1-1-1-1-2-2-1-11111-2-21111-2-21111-2-200-2-2002222-1-1-1-1-1-1-1-100111100000000000000
χ27222222-12-2-2-2-2-12-1-1221111-1-1-122-1-1-1-211-2-211-211-1-100113−33−30033−3−30033−3−32-200-2200000033−3−333−3−300-11-1100000000000000
χ28222222-12-2-2-2-2-12-1-1221111-1-1-122-1-1-1-211-2-211-211-1-100113−33−30033−3−30033−3−3-22002-2000000−3−333−3−333001-11-100000000000000
χ29222222-12-2-2-2-2-12-1-1221111-1-1-122-1-1-1-211-2-211-211-1-10011−33−3300−3−33300−3−3332-200-22000000−3−333−3−33300-11-1100000000000000
χ30222222-12-2-2-2-2-12-1-1221111-1-1-122-1-1-1-211-2-211-211-1-10011−33−3300−3−33300−3−333-22002-200000033−3−333−3−3001-11-100000000000000
χ312222-2-222-222-2222222-2-2-2-22-2-2-2-2222-22222-2-2-2-2-2-2-2002200000000000000002200-2-200000000000000002-2-2200000000000000
χ322222-2-222-222-2222222-2-2-2-22-2-2-2-2222-22222-2-2-2-2-2-2-200220000000000000000-2-200220000000000000000-222-200000000000000
χ332222-2-22-12-2-222-122-1-12222-1-2-211-1-1-1-1-2-211-1-1-1-1-1112-21122-2-2-1-1-1-1-1-1111111002200-2-20000000000002-20000-1-111-1-111000000
χ342222-2-22-12-2-222-122-1-12222-1-2-211-1-1-1-1-2-211-1-1-1-1-1112-21122-2-2-1-1-1-1-1-111111100-2-20022000000000000-22000011-1-111-1-1000000
χ352222-2-22-12-2-222-122-1-12222-1-2-211-1-1-1-1-2-211-1-1-1-1-111-2211-2-222111111-1-1-1-1-1-1002200-2-2000000000000-220000-1-11111-1-1000000
χ362222-2-22-12-2-222-122-1-12222-1-2-211-1-1-1-1-2-211-1-1-1-1-111-2211-2-222111111-1-1-1-1-1-100-2-200220000000000002-2000011-1-1-1-111000000
χ372222-2-2-122-2-22-12-1-122-1-1-1-1-111-2-2-1-1-1211-2-2-1-12-1-1112-211-1-11122-1-1-1-1-2-211112-2002-20022-2-2-1-1-1-1111100-1-11100000000000000
χ382222-2-2-122-2-22-12-1-122-1-1-1-1-111-2-2-1-1-1211-2-2-1-12-1-1112-211-1-11122-1-1-1-1-2-21111-2200-2200-2-2221111-1-1-1-10011-1-100000000000000
χ392222-2-2-122-2-22-12-1-122-1-1-1-1-111-2-2-1-1-1211-2-2-1-12-1-111-221111-1-1-2-2111122-1-1-1-12-2002-200-2-2221111-1-1-1-100-1-11100000000000000
χ402222-2-2-122-2-22-12-1-122-1-1-1-1-111-2-2-1-1-1211-2-2-1-12-1-111-221111-1-1-2-2111122-1-1-1-1-2200-220022-2-2-1-1-1-111110011-1-100000000000000
χ412222-2-2-12-222-2-12-1-1221111-111-2-2-1-1-1-2-1-12211-2111100-1-13−3−330033−3−300−3−3332200-2-200000033−3−3−3−33300-111-100000000000000
χ422222-2-2-12-222-2-12-1-1221111-111-2-2-1-1-1-2-1-12211-2111100-1-13−3−330033−3−300−3−333-2-20022000000−3−33333−3−3001-1-1100000000000000
χ432222-2-2-12-222-2-12-1-1221111-111-2-2-1-1-1-2-1-12211-2111100-1-1−333−300−3−3330033−3−32200-2-2000000−3−33333−3−300-111-100000000000000
χ442222-2-2-12-222-2-12-1-1221111-111-2-2-1-1-1-2-1-12211-2111100-1-1−333−300−3−3330033−3−3-2-2002200000033−3−3−3−333001-1-1100000000000000
χ4522-2-22-22222-2-222-2-2-2-222-2-222-22-2-2-2222-22-222-2-2-22-2002-2000000000000000000000000000000000000000000000000002-22-200
χ4622-2-22-22222-2-222-2-2-2-222-2-222-22-2-2-2222-22-222-2-2-22-2002-200000000000000000000000000000000000000000000000000-22-2200
χ4722-2-22-222-2-22222-2-2-2-2-2-22222-22-2-2-22-2-22-22-2-22222-200-220000000000000000002i−2i002i−2i0000000000000000002i−2i2i−2i0000000000
χ4822-2-22-222-2-22222-2-2-2-2-2-22222-22-2-2-22-2-22-22-2-22222-200-22000000000000000000−2i2i00−2i2i000000000000000000−2i2i−2i2i0000000000
χ4922-2-22-22-1-2-2222-1-2-211-2-222-12-2-1111-11-221-111-1-1-1-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002i−2i002i−2i000000000000000000−ii−ii3−33−3000000
χ5022-2-22-22-1-2-2222-1-2-211-2-222-12-2-1111-11-221-111-1-1-1-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300−2i2i00−2i2i000000000000000000i−ii−i−33−33000000
χ5122-2-22-22-1-2-2222-1-2-211-2-222-12-2-1111-11-221-111-1-1-1-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3002i−2i002i−2i000000000000000000−ii−ii−33−33000000
χ5222-2-22-22-1-2-2222-1-2-211-2-222-12-2-1111-11-221-111-1-1-1-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300−2i2i00−2i2i000000000000000000i−ii−i3−33−3000000
χ5322-2-2-22222-22-222-2-2-2-222-2-22-22-22-2-222-22-2222-2-2-2-2200-22000000000000000000000000000000000000000000000000002-2-2200
χ5422-2-2-22222-22-222-2-2-2-222-2-22-22-22-2-222-22-2222-2-2-2-2200-2200000000000000000000000000000000000000000000000000-222-200
χ5522-2-2-2222-22-2222-2-2-2-2-2-2222-22-22-2-22-22-22-2-2-2222-22002-20000000000000000002i−2i00−2i2i0000000000000000002i−2i−2i2i0000000000
χ5622-2-2-2222-22-2222-2-2-2-2-2-2222-22-22-2-22-22-22-2-2-2222-22002-2000000000000000000−2i2i002i−2i000000000000000000−2i2i2i−2i0000000000
χ5722-2-2-222-1-22-222-1-2-211-2-222-1-221-111-112-2-1111-1-1-11-100-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3002i−2i00−2i2i000000000000000000−iii−i3−3−33000000
χ5822-2-2-222-1-22-222-1-2-211-2-222-1-221-111-112-2-1111-1-1-11-100-110000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i300−2i2i002i−2i000000000000000000i−i−ii−333−3000000
χ5922-2-2-222-1-22-222-1-2-211-2-222-1-221-111-112-2-1111-1-1-11-100-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3002i−2i00−2i2i000000000000000000−iii−i−333−3000000
χ6022-2-2-222-1-22-222-1-2-211-2-222-1-221-111-112-2-1111-1-1-11-100-110000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i300−2i2i002i−2i000000000000000000i−i−ii3−3−33000000
χ614444444-2-4-4-4-44-244-2-2-4-4-4-4-244-2-2-2-2-22-4-42222222-2-2002200000000000000000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-211114411-2-2-2-2-2-21111-2-211110000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-21111-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-12-1-11100-1-123−2323−2300−3−33300−3−3330000000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-211122222-1-12-1-11100-1-1−2323−23230033−3−30033−3−30000000000000000000000000000000000000000
χ664444-4-44-2-444-44-244-2-2-4-4-4-4-2-4-422-2-2-2244-2-2222222200-2-200000000000000000000000000000000000000000000000000000000
χ674444-4-4-2-24-4-44-2-2-2-2-2-2-2-2-2-212222111-2222211-211-1-14-4-1-1-2-222-2-2111122-1-1-1-10000000000000000000000000000000000000000
χ684444-4-4-2-24-4-44-2-2-2-2-2-2-2-2-2-212222111-2222211-211-1-1-44-1-122-2-222-1-1-1-1-2-211110000000000000000000000000000000000000000
χ694444-4-4-2-2-444-4-2-2-2-2-2-22222122221112-2-2-2-2-1-12-1-1-1-1001123−23−232300−3−3330033−3−30000000000000000000000000000000000000000
χ704444-4-4-2-2-444-4-2-2-2-2-2-22222122221112-2-2-2-2-1-12-1-1-1-10011−232323−230033−3−300−3−3330000000000000000000000000000000000000000
χ7144-4-44-44-244-4-44-2-4-42244-4-4-24-4-2222-2-24-4-22-2-2222-2200-2200000000000000000000000000000000000000000000000000000000
χ7244-4-44-4-2444-4-4-2422-4-4-2-222-2-224-422-24-224-4-2-2-422-2200-2200000000000000000000000000000000000000000000000000000000
χ7344-4-44-4-24-4-444-2422-4-422-2-2-2-224-422-2-42-2-44224-2-2-22002-200000000000000000000000000000000000000000000000000000000
χ7444-4-44-4-2-244-4-4-2-22222-2-2221-22-22-1-11-2-22-22112-1-11-1001-10000003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4-2-22222-2-2221-22-22-1-11-2-22-22112-1-11-1001-1000000−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000000000000000
χ7644-4-44-4-2-2-4-444-2-2222222-2-21-22-22-1-1122-22-2-1-1-2111-100-110000−2i32i3i3−i3i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444-2-2222222-2-21-22-22-1-1122-22-2-1-1-2111-100-1100002i3−2i3−i3i3−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000000000000000
χ7844-4-4-444-24-44-44-2-4-42244-4-4-2-442-222-2-2-442-2-2-22222-2002-200000000000000000000000000000000000000000000000000000000
χ7944-4-4-44-244-44-4-2422-4-4-2-222-22-2-4422-242-2-44-2-2-4222-2002-200000000000000000000000000000000000000000000000000000000
χ8044-4-4-44-24-44-44-2422-4-422-2-2-22-2-4422-2-4-224-4224-2-22-200-2200000000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-2-22222-2-22212-22-2-1-11-22-22-2112-1-1-1100-110000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-2-22222-2-22212-22-2-1-11-22-22-2112-1-1-1100-11000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-2-2222222-2-212-22-2-1-112-22-22-1-1-211-11001-10000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i30000000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-2-2222222-2-212-22-2-1-112-22-22-1-1-211-11001-100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i30000000000000000000000000000000000000000
χ854-44-400440000-4-44-44-40000400004-4-4000000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i200000000000000000000
χ864-44-400440000-4-44-44-40000400004-4-40000000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i200000000000000000000
χ874-44-400-2400002-4-224-423−2323−23-20000-2220000023−23023−2300000000000000000000000000000000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000
χ884-44-400-2400002-4-224-423−2323−23-20000-2220000023−23023−23000000000000000000000000000000002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000
χ894-44-400-2400002-4-224-4−2323−2323-20000-22200000−23230−232300000000000000000000000000000000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000
χ904-44-400-2400002-4-224-4−2323−2323-20000-22200000−23230−2323000000000000000000000000000000002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000
χ914-4-4400440000-4-4-44-44000040000-44-4000000000000000000000000000000000000000022−220022−2222−22000000000000000000000000
χ924-4-4400440000-4-4-44-44000040000-44-40000000000000000000000000000000000000000−222200−2222−2222000000000000000000000000
χ934-4-4400-2400002-42-2-4423−23−2323-200002-220000023−230−232300000000000000000000000000000022−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000000000000000000000
χ944-4-4400-2400002-42-2-4423−23−2323-200002-220000023−230−2323000000000000000000000000000000−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000000000000000000
χ954-4-4400-2400002-42-2-44−232323−23-200002-2200000−2323023−2300000000000000000000000000000022−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000000000000000000000
χ964-4-4400-2400002-42-2-44−232323−23-200002-2200000−2323023−23000000000000000000000000000000−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000000000000000000
χ978-88-8008-40000-848-8-440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4000044-44-4443−4343−43200002-2-200000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4000044-44-44−4343−4343200002-2-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-84-884-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000444-44-443−43−434320000-22-200000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000444-44-4−434343−4320000-22-20000023−230−232300000000000000000000000000000000000000000000000000000000000000

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