Finite Group Databasebeta

← Group #13150661

Character table — Group #13150661

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444666666666666666666669999121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order12222234444666661212121233666666666612121212121212124444366666666612121212121212121212121244444412121212121212121212121212121212444444441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ51111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ61111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ71111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-111-11-1-11-11
χ81111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-1-11-111-11-1
χ91111-1-1111-1-1111-1-111-1-1111-1-1-1-1111111111-1-1-1-111111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1
χ101111-1-1111-1-1111-1-111-1-1111-1-1-1-1111111111-1-1-1-111111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ111111-1-1111-1-1111-1-111-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ121111-1-1111-1-1111-1-111-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111-1-11-1-111111-1-1-1-111111-1-1-1-111111-1-1-1-1111111111-1-111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-111-1-111-11-1-11
χ141111-1-11-1-111111-1-1-1-111111-1-1-1-111111-1-1-1-1111111111-1-111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-1-111-1-11-111-1
χ151111-1-11-1-111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11-11-1-11-11-111-1-111-1
χ161111-1-11-1-111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-11-111-11-11-1-111-1-11
χ17222222222222222222222-12-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222222222222222-12-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ1922222222222222222222-12-122222-122-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002200220000-1-1-1-1
χ2022222222222222222222-12-122222-122-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-200-2-200001111
χ212222222-2-2-2-222222-2-2-2-22-12-1-1-1-1-12-1-12111111112222-122-1-1-1-1-1-1-1-2-2-2-21111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ222222222-2-2-2-222222-2-2-2-22-12-1-1-1-1-12-1-1211111111-2-2-2-2-122-1-1-1-1-1-1-1-2-2-2-211111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ232222222-2-2-2-222222-2-2-2-2-12-122222-122-1-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2002-20000-11-11
χ242222222-2-2-2-222222-2-2-2-2-12-122222-122-1-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2200-2200001-11-1
χ252222-2-2222-2-2222-2-222-2-22-121111-12-1-12-1-1-1-111112222-1-2-2-1-11111-122-2-2-1-1-1-11111-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ262222-2-2222-2-2222-2-222-2-22-121111-12-1-12-1-1-1-11111-2-2-2-2-1-2-2-1-11111-122-2-2-1-1-1-1111122-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ272222-2-2222-2-2222-2-222-2-2-12-1-2-2-2-22-122-12222-2-2-2-20000-111-1-11111-1-1-111-1-1-1-111110000000000000000000000002200-2-2000011-1-1
χ282222-2-2222-2-2222-2-222-2-2-12-1-2-2-2-22-122-12222-2-2-2-20000-111-1-11111-1-1-111-1-1-1-11111000000000000000000000000-2-200220000-1-111
χ292222-2-22-2-222222-2-2-2-2222-121111-12-1-121111-1-1-1-12222-1-2-2-1-11111-1-2-2221111-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ302222-2-22-2-222222-2-2-2-2222-121111-12-1-121111-1-1-1-1-2-2-2-2-1-2-2-1-11111-1-2-2221111-1-1-1-12222-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ312222-2-22-2-222222-2-2-2-222-12-1-2-2-2-22-122-1-2-2-2-222220000-111-1-11111-111-1-11111-1-1-1-10000000000000000000000002-200-2200001-1-11
χ322222-2-22-2-222222-2-2-2-222-12-1-2-2-2-22-122-1-2-2-2-222220000-111-1-11111-111-1-11111-1-1-1-1000000000000000000000000-22002-20000-111-1
χ3322-2-22-2200002-2-22-2000022222-2-2-2-22-2-20000000022-2-222-22-222-2-2-20000000000002-2000022-2-222-2-2000000000000000000000000
χ3422-2-22-2200002-2-22-2000022222-2-2-2-22-2-200000000-2-22222-22-222-2-2-2000000000000-220000-2-222-2-222000000000000000000000000
χ3522-2-22-2200002-2-22-200002-12-1-1111-2-11-233−3−333−3−322-2-2-12-2-11-1-1111000033−3−333−3−32-20000-1-111-1-11133−3−333−3−30000000000000000
χ3622-2-22-2200002-2-22-200002-12-1-1111-2-11-233−3−333−3−3-2-222-12-2-11-1-1111000033−3−333−3−3-22000011-1-111-1-1−3−333−3−3330000000000000000
χ3722-2-22-2200002-2-22-200002-12-1-1111-2-11-2−3−333−3−33322-2-2-12-2-11-1-11110000−3−333−3−3332-20000-1-111-1-111−3−333−3−3330000000000000000
χ3822-2-22-2200002-2-22-200002-12-1-1111-2-11-2−3−333−3−333-2-222-12-2-11-1-11110000−3−333−3−333-22000011-1-111-1-133−3−333−3−30000000000000000
χ3922-2-2-22200002-2-2-220000222-2-222-2-22-2-20000000022-2-22-222-2-2-222-2000000000000-22000022-2-2-2-222000000000000000000000000
χ4022-2-2-22200002-2-2-220000222-2-222-2-22-2-200000000-2-2222-222-2-2-222-20000000000002-20000-2-22222-2-2000000000000000000000000
χ4122-2-2-22200002-2-2-2200002-1211-1-11-2-11-233−3−3−3−33322-2-2-1-22-1111-1-11000033−3−3−3−333-220000-1-11111-1-133−3−3−3−3330000000000000000
χ4222-2-2-22200002-2-2-2200002-1211-1-11-2-11-233−3−3−3−333-2-222-1-22-1111-1-11000033−3−3−3−3332-2000011-1-1-1-111−3−33333−3−30000000000000000
χ4322-2-2-22200002-2-2-2200002-1211-1-11-2-11-2−3−33333−3−322-2-2-1-22-1111-1-110000−3−33333−3−3-220000-1-11111-1-1−3−33333−3−30000000000000000
χ4422-2-2-22200002-2-2-2200002-1211-1-11-2-11-2−3−33333−3−3-2-222-1-22-1111-1-110000−3−33333−3−32-2000011-1-1-1-11133−3−3−3−3330000000000000000
χ452-22-20022-200-2-22002-20022-200002-2-2-222-22-200002i−2i2i−2i200-2-2000022-2002-22-20000002i−2i002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ462-22-20022-200-2-22002-20022-200002-2-2-222-22-20000−2i2i−2i2i200-2-2000022-2002-22-2000000−2i2i00−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ472-22-20022-200-2-22002-2002-1-2−i3i3−i3i3-1-2112-11-11−i3i3−i3i32i−2i2i−2i-10011−i3i3−i3i3-12-200-11-11−i3i3−i3i3002i−2i00−ii−ii3−33−3−ii−ii3−33−30000000000000000
χ482-22-20022-200-2-22002-2002-1-2−i3i3−i3i3-1-2112-11-11−i3i3−i3i3−2i2i−2i2i-10011−i3i3−i3i3-12-200-11-11−i3i3−i3i300−2i2i00i−ii−i−33−33i−ii−i−33−330000000000000000
χ492-22-20022-200-2-22002-2002-1-2i3−i3i3−i3-1-2112-11-11i3−i3i3−i32i−2i2i−2i-10011i3−i3i3−i3-12-200-11-11i3−i3i3−i3002i−2i00−ii−ii−33−33−ii−ii−33−330000000000000000
χ502-22-20022-200-2-22002-2002-1-2i3−i3i3−i3-1-2112-11-11i3−i3i3−i3−2i2i−2i2i-10011i3−i3i3−i3-12-200-11-11i3−i3i3−i300−2i2i00i−ii−i3−33−3i−ii−i3−33−30000000000000000
χ512-22-2002-2200-2-2200-220022-200002-2-2-22-22-2200002i−2i2i−2i200-2-200002-2200-22-22000000−2i2i002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ522-22-2002-2200-2-2200-220022-200002-2-2-22-22-220000−2i2i−2i2i200-2-200002-2200-22-220000002i−2i00−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ532-22-2002-2200-2-2200-22002-1-2−i3i3−i3i3-1-21121-11-1i3−i3i3−i32i−2i2i−2i-10011−i3i3−i3i3-1-22001-11-1i3−i3i3−i300−2i2i00−ii−ii3−33−3i−ii−i−33−330000000000000000
χ542-22-2002-2200-2-2200-22002-1-2−i3i3−i3i3-1-21121-11-1i3−i3i3−i3−2i2i−2i2i-10011−i3i3−i3i3-1-22001-11-1i3−i3i3−i3002i−2i00i−ii−i−33−33−ii−ii3−33−30000000000000000
χ552-22-2002-2200-2-2200-22002-1-2i3−i3i3−i3-1-21121-11-1−i3i3−i3i32i−2i2i−2i-10011i3−i3i3−i3-1-22001-11-1−i3i3−i3i300−2i2i00−ii−ii−33−33i−ii−i3−33−30000000000000000
χ562-22-2002-2200-2-2200-22002-1-2i3−i3i3−i3-1-21121-11-1−i3i3−i3i3−2i2i−2i2i-10011i3−i3i3−i3-1-22001-11-1−i3i3−i3i3002i−2i00i−ii−i3−33−3−ii−ii−33−330000000000000000
χ572-2-22002002i−2i-22-200002i−2i22-20000-22-22-200002i−2i−2i2i2i−2i−2i2i200-220000-2002i−2i00002i−2i−2i2i00002-22i−2i−2i2i00000000-222-20000000000000000
χ582-2-22002002i−2i-22-200002i−2i22-20000-22-22-200002i−2i−2i2i−2i2i2i−2i200-220000-2002i−2i00002i−2i−2i2i0000-22−2i2i2i−2i000000002-2-220000000000000000
χ592-2-22002002i−2i-22-200002i−2i2-1-2−i3i3i3−i3121-1-23−3−33−iii−i2i−2i−2i2i-1001-1−i3i3i3−i31002i−2i3−3−33−iii−i00002-2−iii−i3−3−33i3−i3−i3i31-1-110000000000000000
χ602-2-22002002i−2i-22-200002i−2i2-1-2−i3i3i3−i3121-1-23−3−33−iii−i−2i2i2i−2i-1001-1−i3i3i3−i31002i−2i3−3−33−iii−i0000-22i−i−ii−333−3−i3i3i3−i3-111-10000000000000000
χ612-2-22002002i−2i-22-200002i−2i2-1-2i3−i3−i3i3121-1-2−333−3−iii−i2i−2i−2i2i-1001-1i3−i3−i3i31002i−2i−333−3−iii−i00002-2−iii−i−333−3−i3i3i3−i31-1-110000000000000000
χ622-2-22002002i−2i-22-200002i−2i2-1-2i3−i3−i3i3121-1-2−333−3−iii−i−2i2i2i−2i-1001-1i3−i3−i3i31002i−2i−333−3−iii−i0000-22i−i−ii3−3−33i3−i3−i3i3-111-10000000000000000
χ632-2-2200200−2i2i-22-20000−2i2i22-20000-22-22-20000−2i2i2i−2i2i−2i−2i2i200-220000-200−2i2i0000−2i2i2i−2i0000-222i−2i−2i2i000000002-2-220000000000000000
χ642-2-2200200−2i2i-22-20000−2i2i22-20000-22-22-20000−2i2i2i−2i−2i2i2i−2i200-220000-200−2i2i0000−2i2i2i−2i00002-2−2i2i2i−2i00000000-222-20000000000000000
χ652-2-2200200−2i2i-22-20000−2i2i2-1-2−i3i3i3−i3121-1-2−333−3i−i−ii2i−2i−2i2i-1001-1−i3i3i3−i3100−2i2i−333−3i−i−ii0000-22−iii−i3−3−33−i3i3i3−i3-111-10000000000000000
χ662-2-2200200−2i2i-22-20000−2i2i2-1-2−i3i3i3−i3121-1-2−333−3i−i−ii−2i2i2i−2i-1001-1−i3i3i3−i3100−2i2i−333−3i−i−ii00002-2i−i−ii−333−3i3−i3−i3i31-1-110000000000000000
χ672-2-2200200−2i2i-22-20000−2i2i2-1-2i3−i3−i3i3121-1-23−3−33i−i−ii2i−2i−2i2i-1001-1i3−i3−i3i3100−2i2i3−3−33i−i−ii0000-22−iii−i−333−3i3−i3−i3i3-111-10000000000000000
χ682-2-2200200−2i2i-22-20000−2i2i2-1-2i3−i3−i3i3121-1-23−3−33i−i−ii−2i2i2i−2i-1001-1i3−i3−i3i3100−2i2i3−3−33i−i−ii00002-2i−i−ii3−3−33−i3i3i3−i31-1-110000000000000000
χ6944444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001-2-21111111-2-2-2-21111111100000000000000000000000000000000000000
χ704444444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-22222222200001-2-211111112222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ714444-4-4444-4-4444-4-444-4-4-2-2-22222-2-2-2-2-2-2-2-2-22222000012211-1-1-1-11-2-2221111-1-1-1-100000000000000000000000000000000000000
χ724444-4-44-4-444444-4-4-4-444-2-2-22222-2-2-2-2-22222-2-2-2-2000012211-1-1-1-1122-2-2-1-1-1-1111100000000000000000000000000000000000000
χ7344-4-44-4400004-4-44-40000-24-244-4-4-424-42000000000000-2-22-22-2-222200000000000000000000000000000000000000000000000000
χ7444-4-44-4400004-4-44-40000-2-2-2-2-22222-2222323−23−232323−23−2300001-221-111-1-1-10000−3−333−3−33300000000000000000000000000000000000000
χ7544-4-44-4400004-4-44-40000-2-2-2-2-22222-222−23−232323−23−23232300001-221-111-1-1-1000033−3−333−3−300000000000000000000000000000000000000
χ7644-4-4-44400004-4-4-440000-24-2-4-444-424-42000000000000-22-2-2222-2-2200000000000000000000000000000000000000000000000000
χ7744-4-4-44400004-4-4-440000-2-2-222-2-222-2222323−23−23−23−232323000012-21-1-1-111-10000−3−33333−3−300000000000000000000000000000000000000
χ7844-4-4-44400004-4-4-440000-2-2-222-2-222-222−23−2323232323−23−23000012-21-1-1-111-1000033−3−3−3−33300000000000000000000000000000000000000
χ794-44-40044-400-4-44004-400-242000042-4-4-24-44-400000000-200220000-2-2200-22-22000000000000000000000000000000000000000000
χ804-44-40044-400-4-44004-400-2-22−2i32i3−2i32i3-2222-2-22-22−2i32i3−2i32i30000100-1-1i3−i3i3−i31-22001-11-1i3−i3i3−i300000000000000000000000000000000000000
χ814-44-40044-400-4-44004-400-2-222i3−2i32i3−2i3-2222-2-22-222i3−2i32i3−2i30000100-1-1−i3i3−i3i31-22001-11-1−i3i3−i3i300000000000000000000000000000000000000
χ824-44-4004-4400-4-4400-4400-242000042-4-4-2-44-4400000000-200220000-22-2002-22-2000000000000000000000000000000000000000000
χ834-44-4004-4400-4-4400-4400-2-22−2i32i3−2i32i3-2222-22-22-22i3−2i32i3−2i30000100-1-1i3−i3i3−i312-200-11-11−i3i3−i3i300000000000000000000000000000000000000
χ844-44-4004-4400-4-4400-4400-2-222i3−2i32i3−2i3-2222-22-22-2−2i32i3−2i32i30000100-1-1−i3i3−i3i312-200-11-11i3−i3i3−i300000000000000000000000000000000000000
χ854-4-44004004i−4i-44-400004i−4i-2420000-4-2-44200004i−4i−4i4i0000-2002-20000200−2i2i0000−2i2i2i−2i00000000000000000000000000000000000000
χ864-4-44004004i−4i-44-400004i−4i-2-22−2i32i32i3−2i32-22-2223−23−2323−2i2i2i−2i0000100-11i3−i3−i3i3-100−2i2i−333−3i−i−ii00000000000000000000000000000000000000
χ874-4-44004004i−4i-44-400004i−4i-2-222i3−2i3−2i32i32-22-22−232323−23−2i2i2i−2i0000100-11−i3i3i3−i3-100−2i2i3−3−33i−i−ii00000000000000000000000000000000000000
χ884-4-4400400−4i4i-44-40000−4i4i-2420000-4-2-4420000−4i4i4i−4i0000-2002-200002002i−2i00002i−2i−2i2i00000000000000000000000000000000000000
χ894-4-4400400−4i4i-44-40000−4i4i-2-22−2i32i32i3−2i32-22-22−232323−232i−2i−2i2i0000100-11i3−i3−i3i3-1002i−2i3−3−33−iii−i00000000000000000000000000000000000000
χ904-4-4400400−4i4i-44-40000−4i4i-2-222i3−2i3−2i32i32-22-2223−23−23232i−2i−2i2i0000100-11−i3i3i3−i3-1002i−2i−333−3−iii−i00000000000000000000000000000000000000
χ91666666-36666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022002200-1-1-1-10000
χ92666666-36666-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-200-2-20011110000
χ93666666-3-6-6-6-6-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000002-2002-200-11-110000
χ94666666-3-6-6-6-6-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2200-22001-11-10000
χ956666-6-6-366-6-6-3-3-333-3-333000000000000000000000000000000000000000000000000000000000000000000002200-2-20011-1-10000
χ966666-6-6-366-6-6-3-3-333-3-33300000000000000000000000000000000000000000000000000000000000000000000-2-2002200-1-1110000
χ976666-6-6-3-6-666-3-3-33333-3-3000000000000000000000000000000000000000000000000000000000000000000002-200-22001-1-110000
χ986666-6-6-3-6-666-3-3-33333-3-300000000000000000000000000000000000000000000000000000000000000000000-22002-200-111-10000
χ991212-12-1212-12-60000-666-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001212-12-12-1212-60000-6666-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-1212-1200-612-120066-600-6600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-1200-6-12120066-6006-600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-121200-60012i−12i6-660000−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-121200-600−12i12i6-6600006i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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