Finite Group Databasebeta

← Group #11895769

Character table — Group #11895769

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222334444666666121212122234666666612121212121212121212121246666661212121212121212121212121244444488881212121224242424242424242446612121212121212122288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111
χ711111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-111
χ811111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-1-1111111-1-1
χ9111111-1-111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1-1-1-1-1-11-1111-111-1-111-1-11111-1-1-1-1-11-1-1-11-11111-1-11-11-1
χ10111111-1-111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1-1-1-1-1-11-1-1-11-1-1-11111-1-1-1-1-1-1111111-1111-1-1-111-1-1-11-11
χ11111111-1-111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1-1-1-1-1-1-1111-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1111-1-111-11-11
χ12111111-1-111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-1-1-1-1-1-1-11-1-1-11-1-111-1-111-1-1-1-111111-1111-11-1-1-1-1111-11-1
χ13111111-1-111111111-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-111111-1111-1-1-11111-1-1-1-1-1-11111-1-11-1-11-111-1-1111-1-11
χ14111111-1-111111111-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-111111-1-1-11-111-1-111-1-11111-1-1-1-11-11111-1-1-1-1-111-111-1
χ15111111-1-111111111-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-11111-1111-11-1-111-1-111-1-1-1-11111-11-1-1-1-111111-1-1-111-1
χ16111111-1-111111111-1-1-1-1-1-11-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-11111-11-1-1-1111-1-1-1-1111111-1-1-1-111-111-11-1-111-1-11-1-11
χ1722222222-2-22222222222002-20000222-2-2-2-2222222-2-200000000000-2-2-2-2-200002200-2-20000-2-2-2-20000000000000220000000000
χ1822222222-2-22222222222002-20000222-2-2-2-2222222-2-200000000000-2-2-2-2-20000-2-20022000022220000000000000-2-20000000000
χ19222222-2-2-2-2222222-2-2-2-200220000222-2-222-2-2-2-2-2-2-2-2000000000002-2-22200002-200-220000-2-22200000000000002-20000000000
χ20222222-2-2-2-2222222-2-2-2-200220000222-2-222-2-2-2-2-2-2-2-2000000000002-2-2220000-22002-2000022-2-20000000000000-220000000000
χ2122222-122222-1-12-12-1-1-1-122-122222-1-1-122-1-122-1-1-1-1-1-12-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-100220022220000-1-1-1-1-1-1-1-1200-1-100-1-100000000
χ2222222-122222-1-12-12-1-1-1-122-122222-1-1-122-1-122-1-1-1-1-1-12-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-100-2-200-2-2-2-2000011111111-20011001100000000
χ2322222-122222-1-12-12-1-1-1-1-2-2-12-2-2-2-2-1-1-122-1-122-1-1-1-1-1-1-2111111-2-2112-1-1-1-11111002200-2-2-2-2000011111111200-1-100-1-100000000
χ2422222-122222-1-12-12-1-1-1-1-2-2-12-2-2-2-2-1-1-122-1-122-1-1-1-1-1-1-2111111-2-2112-1-1-1-1111100-2-20022220000-1-1-1-1-1-1-1-1-20011001100000000
χ2522222-1-2-2222-1-12-12111122-1-22222-1-1-12211-2-21111-1-1-2-1-1-1-1-1-1-2-211-2-1-111111100220022-2-20000-1-1-1-11111-2001100-1-100000000
χ2622222-1-2-2222-1-12-12111122-1-22222-1-1-12211-2-21111-1-1-2-1-1-1-1-1-1-2-211-2-1-111111100-2-200-2-22200001111-1-1-1-1200-1-1001100000000
χ2722222-1-2-2222-1-12-121111-2-2-1-2-2-2-2-2-1-1-12211-2-21111-1-1211111122-1-1-2-1-111-1-1-1-1002200-2-22200001111-1-1-1-1-2001100-1-100000000
χ2822222-1-2-2222-1-12-121111-2-2-1-2-2-2-2-2-1-1-12211-2-21111-1-1211111122-1-1-2-1-111-1-1-1-100-2-20022-2-20000-1-1-1-11111200-1-1001100000000
χ292222-122222-122-12-1222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12200220000-1-1-1-10000000002200-1-100-1-1-1-10000
χ302222-122222-122-12-1222222-12-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-200-2-200001111000000000-2-200110011110000
χ312222-122222-122-12-12222-2-2-121111-1-1-1-1-122-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-111112200220000-1-1-1-1000000000-2-200-1-10011110000
χ322222-122222-122-12-12222-2-2-121111-1-1-1-1-122-1-1-1-1-1-122-2-2-2111111-2-2-1-1-1-1-11111-2-200-2-20000111100000000022001100-1-1-1-10000
χ332222-1222-2-2-122-12-1222200-1-2−i3−i3i3i3-1-1-111-2-2-1-1-1-1-1-1-2-2000−i3−i3i3i3−i3i30011111−i3−i3i3i32200-2-2000011110000000000000-1-100−i3i3−i3i30000
χ342222-1222-2-2-122-12-1222200-1-2−i3−i3i3i3-1-1-111-2-2-1-1-1-1-1-1-2-2000−i3−i3i3i3−i3i30011111−i3−i3i3i3-2-200220000-1-1-1-100000000000001100i3−i3i3−i30000
χ352222-1222-2-2-122-12-1222200-1-2i3i3−i3−i3-1-1-111-2-2-1-1-1-1-1-1-2-2000i3i3−i3−i3i3−i30011111i3i3−i3−i32200-2-2000011110000000000000-1-100i3−i3i3−i30000
χ362222-1222-2-2-122-12-1222200-1-2i3i3−i3−i3-1-1-111-2-2-1-1-1-1-1-1-2-2000i3i3−i3−i3i3−i30011111i3i3−i3−i3-2-200220000-1-1-1-100000000000001100−i3i3−i3i30000
χ372222-12-2-222-122-12-1-2-2-2-222-1-2-1-1-1-1-1-1-1-1-1-2-211111122-222-1-1-1-111-2-21-1-11111112-2002-20000-1-1110000000002-200-1100-1-1110000
χ382222-12-2-222-122-12-1-2-2-2-222-1-2-1-1-1-1-1-1-1-1-1-2-211111122-222-1-1-1-111-2-21-1-1111111-2200-22000011-1-1000000000-22001-10011-1-10000
χ392222-12-2-222-122-12-1-2-2-2-2-2-2-1-21111-1-1-1-1-1-2-2111111222-2-21111-1-1221-1-111-1-1-1-12-2002-20000-1-111000000000-2200-110011-1-10000
χ402222-12-2-222-122-12-1-2-2-2-2-2-2-1-21111-1-1-1-1-1-2-2111111222-2-21111-1-1221-1-111-1-1-1-1-2200-22000011-1-10000000002-2001-100-1-1110000
χ412222-12-2-2-2-2-122-12-1-2-2-2-200-12−i3−i3i3i3-1-1-11122111111-2-2000−i3−i3i3i3i3−i300-111-1-1i3i3−i3−i32-200-22000011-1-10000000000000-1100−i3i3i3−i30000
χ422222-12-2-2-2-2-122-12-1-2-2-2-200-12−i3−i3i3i3-1-1-11122111111-2-2000−i3−i3i3i3i3−i300-111-1-1i3i3−i3−i3-22002-20000-1-11100000000000001-100i3−i3−i3i30000
χ432222-12-2-2-2-2-122-12-1-2-2-2-200-12i3i3−i3−i3-1-1-11122111111-2-2000i3i3−i3−i3−i3i300-111-1-1−i3−i3i3i32-200-22000011-1-10000000000000-1100i3−i3−i3i30000
χ442222-12-2-2-2-2-122-12-1-2-2-2-200-12i3i3−i3−i3-1-1-11122111111-2-2000i3i3−i3−i3−i3i300-111-1-1−i3−i3i3i3-22002-20000-1-11100000000000001-100−i3i3i3−i30000
χ4522-2-22200-2222-2-2-2-200002-2202-22-22-2-22-2000000002-202-22-22-2000002-2000000002i−2i002i−2i0000002i2i−2i−2i000000000002i−2i00000000
χ4622-2-22200-2222-2-2-2-200002-2202-22-22-2-22-2000000002-202-22-22-2000002-200000000−2i2i00−2i2i000000−2i−2i2i2i00000000000−2i2i00000000
χ4722-2-22200-2222-2-2-2-20000-2220-22-222-2-22-2000000002-20-22-22-22000002-2000000002i−2i00−2i2i000000−2i−2i2i2i000000000002i−2i00000000
χ4822-2-22200-2222-2-2-2-20000-2220-22-222-2-22-2000000002-20-22-22-22000002-200000000−2i2i002i−2i0000002i2i−2i−2i00000000000−2i2i00000000
χ4922-2-22-100-222-11-21-233−3−32-2-102-22-2-1112-23−30033−3−3-110-11-11-11003−30-113−33−33−3002i−2i002i−2i000000−i−iii−i3−i3i3i3000−i3i300−ii00000000
χ5022-2-22-100-222-11-21-233−3−32-2-102-22-2-1112-23−30033−3−3-110-11-11-11003−30-113−33−33−300−2i2i00−2i2i000000ii−i−ii3i3−i3−i3000i3−i300i−i00000000
χ5122-2-22-100-222-11-21-233−3−3-22-10-22-22-1112-23−30033−3−3-1101-11-11-100−330-113−3−33−33002i−2i00−2i2i000000ii−i−ii3i3−i3−i3000−i3i300−ii00000000
χ5222-2-22-100-222-11-21-233−3−3-22-10-22-22-1112-23−30033−3−3-1101-11-11-100−330-113−3−33−3300−2i2i002i−2i000000−i−iii−i3−i3i3i3000i3−i300i−i00000000
χ5322-2-22-100-222-11-21-2−3−3332-2-102-22-2-1112-2−3300−3−333-110-11-11-1100−330-11−33−33−33002i−2i002i−2i000000−i−iiii3i3−i3−i3000i3−i300−ii00000000
χ5422-2-22-100-222-11-21-2−3−3332-2-102-22-2-1112-2−3300−3−333-110-11-11-1100−330-11−33−33−3300−2i2i00−2i2i000000ii−i−i−i3−i3i3i3000−i3i300i−i00000000
χ5522-2-22-100-222-11-21-2−3−333-22-10-22-22-1112-2−3300−3−333-1101-11-11-1003−30-11−333−33−3002i−2i00−2i2i000000ii−i−i−i3−i3i3i3000i3−i300−ii00000000
χ5622-2-22-100-222-11-21-2−3−333-22-10-22-22-1112-2−3300−3−333-1101-11-11-1003−30-11−333−33−300−2i2i002i−2i000000−i−iiii3i3−i3−i3000−i3i300i−i00000000
χ5744444-244-4-44-2-24-24-2-2-2-200-2-40000-2-2-2-4-42244-2-2-2-22200000000000-422220000000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-24-24222200-240000-2-2-2-4-4-2-2-4-422222200000000000422-2-20000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-24414-2-2-2-2111-2-2-2-2-2-21111-2-24-2-21111-2-2-2-2-211111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-21111-2-2-422-1-1-1-12222-21111-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-4−2i3−2i32i32i31112222-2-2111122000i3i3−i3−i3−2i32i3002-1-1-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-42i32i3−2i3−2i31112222-2-2111122000−i3−i3i3i32i3−2i3002-1-1-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222441-4-2-2-2-2111-2-22222-1-1-1-1-2-2-4-2-211112222211-1-1-1-1-1-1000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-22222-4-41-42222111-2-22222-1-1-1-1-2-2422-1-1-1-1-2-2-2-2211-1-11111000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222220014−2i3−2i32i32i311122-2-222-1-1-1-122000i3i3−i3−i32i3−2i300-2-1-111−i3−i3i3i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2222200142i32i3−2i3−2i311122-2-222-1-1-1-122000−i3−i3i3i3−2i32i300-2-1-111i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-444004-444-4-4-4-40000004000004-4-4-4400000000-44000000000000-44000000000000000000000000000000000000000000000
χ6844-4-44-2004-44-22-42-42323−23−2300-200000-222-44−2323002323−23−232-20000000000002-2−23230000000000000000000000000000000000000000000
χ6944-4-44-2004-44-22-42-4−23−23232300-200000-222-4423−2300−23−2323232-20000000000002-223−230000000000000000000000000000000000000000000
χ7044-4-4-24004-4-24-42-42000000-20−2i32i32i3−2i3-2222-200000000-44000−2i32i32i3−2i3000002-2000000000000000000000000000000000000000000000
χ7144-4-4-24004-4-24-42-42000000-202i3−2i3−2i32i3-2222-200000000-440002i3−2i3−2i32i3000002-2000000000000000000000000000000000000000000000
χ7244-4-4-2400-44-24-42-4200004-4-20-22-22-222-22000000004-404-4-22-2200000-22000000000000000000000000000000000000000000000
χ7344-4-4-2400-44-24-42-420000-44-202-22-2-222-22000000004-40-442-22-200000-22000000000000000000000000000000000000000000000
χ7444-4-4-2-2004-4-2-222222323−23−230010−2i32i32i3−2i31-1-12-2−232300−3−3332-2000i3−i3−i3i300000-113−3−3i3i3i−3i000000000000000000000000000000000000000
χ7544-4-4-2-2004-4-2-222222323−23−2300102i3−2i3−2i32i31-1-12-2−232300−3−3332-2000−i3i3i3−i300000-113−33i−3i−3i3i000000000000000000000000000000000000000
χ7644-4-4-2-2004-4-2-22222−23−2323230010−2i32i32i3−2i31-1-12-223−230033−3−32-2000i3−i3−i3i300000-11−333i−3i−3i3i000000000000000000000000000000000000000
χ7744-4-4-2-2004-4-2-22222−23−23232300102i3−2i3−2i32i31-1-12-223−230033−3−32-2000−i3i3i3−i300000-11−33−3i3i3i−3i000000000000000000000000000000000000000
χ7844-4-4-2-200-44-2-222222323−23−234-410-22-221-1-1-2223−2300−3−333-220-221-11-10023−2301-1−33−33−33000000000000000000000000000000000000000
χ7944-4-4-2-200-44-2-222222323−23−23-44102-22-21-1-1-2223−2300−3−333-2202-2-11-1100−232301-1−333−33−3000000000000000000000000000000000000000
χ8044-4-4-2-200-44-2-22222−23−2323234-410-22-221-1-1-22−23230033−3−3-220-221-11-100−232301-13−33−33−3000000000000000000000000000000000000000
χ8144-4-4-2-200-44-2-22222−23−232323-44102-22-21-1-1-22−23230033−3−3-2202-2-11-110023−2301-13−3−33−33000000000000000000000000000000000000000
χ824-44-4444-400-4-4-444-44-44-400400000-4-4400004-44-44-40000000000000000000000000000000000000000000000000000000000000
χ834-44-444-4400-4-4-444-4-44-4400400000-4-440000-44-44-440000000000000000000000000000000000000000000000000000000000000
χ844-44-44-24-400-4224-2-4-22-2200-20000022-200004-4-22-22000000000000000000000000000000000000i6−i6i6−i6i6−i6i6−i600000000000000000
χ854-44-44-24-400-4224-2-4-22-2200-20000022-200004-4-22-22000000000000000000000000000000000000−i6i6−i6i6−i6i6−i6i600000000000000000
χ864-44-44-2-4400-4224-2-42-22-200-20000022-20000-442-22-2000000000000000000000000000000000000i6−i6i6−i6−i6i6−i6i600000000000000000
χ874-44-44-2-4400-4224-2-42-22-200-20000022-20000-442-22-2000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i600000000000000000
χ884-44-4-244-4002-4-4-2424-44-400-20000022-20000-22-22-220000000000000000000000000000000023−2323−230000000000000000000000000
χ894-44-4-244-4002-4-4-2424-44-400-20000022-20000-22-22-2200000000000000000000000000000000−2323−23230000000000000000000000000
χ904-44-4-24-44002-4-4-242-44-4400-20000022-200002-22-22-20000000000000000000000000000000023−23−23230000000000000000000000000
χ914-44-4-24-44002-4-4-242-44-4400-20000022-200002-22-22-200000000000000000000000000000000−232323−230000000000000000000000000
χ924-4-44440000-4-44-4-44000000400000-44-4000000000000000000000000000000000000000022−220000000022−22−222200000000000000000
χ934-4-44440000-4-44-4-44000000400000-44-40000000000000000000000000000000000000000−222200000000−222222−2200000000000000000
χ944-4-444-20000-42-2-42423−23−232300-2000002-2200000023−23−232300000000000000000000000000000022−2200006−6−66−222−200000000000000000
χ954-4-444-20000-42-2-42423−23−232300-2000002-2200000023−23−2323000000000000000000000000000000−22220000−666−62−2−2200000000000000000
χ964-4-444-20000-42-2-424−232323−2300-2000002-22000000−232323−2300000000000000000000000000000022−220000−666−6−222−200000000000000000
χ974-4-444-20000-42-2-424−232323−2300-2000002-22000000−232323−23000000000000000000000000000000−222200006−6−662−2−2200000000000000000
χ988-88-8-4-48-800444-4-44-44-4400200000-2-220000-442-22-20000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-8800444-4-444-44-400200000-2-2200004-4-22-220000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4800004-884-8-4000000-4000004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4000044-444-443−43−434300200000-22-2000000−232323−230000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4000044-444-4−434343−4300200000-22-200000023−23−23230000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).