Finite Group Databasebeta

← Group #13150697

Character table — Group #13150697

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222444444666666666666666666669999121212121212121212121212121212121212121212121818181818181818181818181818181818181818181836363636363636367272727272727272
order1222223444466666121212123366666666661212121212121212444436666666661212121212121212121212124444441212121212121212121212121212121222224444666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1
χ61111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11
χ71111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-111-1-11
χ81111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-111-1-111-1
χ91111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111-1-1-1-111111-1-111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ101111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111-1-1-1-111111-1-111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ111111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ121111-1-1111-1-1111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ131111-1-11-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111-1-111-1-1-1-11-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11-111-11-1-11-111-1
χ141111-1-11-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111-1-111-1-1-1-11-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-111-11-1-11-111-11-1-11
χ151111-1-11-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-11-11-1-11-111-11-1-11-11
χ161111-1-11-1-111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-11-111-11-1-11-111-11-1
χ17222222222222222222222-12222-12-122-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022002200-1-100-1-1
χ18222222222222222222222-12222-12-122-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-200-2-200110011
χ1922222222222222222222-12-1-1-1-12-12-1-12-1-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222222222222222-12-1-1-1-12-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ212222222-2-2-2-222222-2-2-2-22-12222-12-122-1-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2002-200-1100-11
χ222222222-2-2-2-222222-2-2-2-22-12222-12-122-1-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2200-22001-1001-1
χ232222222-2-2-2-222222-2-2-2-2-12-1-1-1-12-12-1-12111111112222-122-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-222-1-1-1-1-1-1-1-1111111110000000000000000
χ242222222-2-2-2-222222-2-2-2-2-12-1-1-1-12-12-1-1211111111-2-2-2-2-122-1-1-1-1-1-1-1-2-2-2-2111111112222-2-211111111-1-1-1-1-1-1-1-10000000000000000
χ252222-2-2222-2-2222-2-222-2-22-1-2-2-2-2-12-122-12222-2-2-2-20000-111-1-11111-1-1-111-1-1-1-111110000000000000000000000002200-2-200-1-10011
χ262222-2-2222-2-2222-2-222-2-22-1-2-2-2-2-12-122-12222-2-2-2-20000-111-1-11111-1-1-111-1-1-1-11111000000000000000000000000-2-20022001100-1-1
χ272222-2-2222-2-2222-2-222-2-2-1211112-12-1-12-1-1-1-111112222-1-2-2-1-11111-122-2-2-1-1-1-1111122-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ282222-2-2222-2-2222-2-222-2-2-1211112-12-1-12-1-1-1-11111-2-2-2-2-1-2-2-1-11111-122-2-2-1-1-1-11111-2-222221111-1-1-1-11111-1-1-1-10000000000000000
χ292222-2-22-2-222222-2-2-2-2222-1-2-2-2-2-12-122-1-2-2-2-222220000-111-1-11111-111-1-11111-1-1-1-10000000000000000000000002-200-2200-11001-1
χ302222-2-22-2-222222-2-2-2-2222-1-2-2-2-2-12-122-1-2-2-2-222220000-111-1-11111-111-1-11111-1-1-1-1000000000000000000000000-22002-2001-100-11
χ312222-2-22-2-222222-2-2-2-222-1211112-12-1-121111-1-1-1-12222-1-2-2-1-11111-1-2-2221111-1-1-1-1-2-222-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ322222-2-22-2-222222-2-2-2-222-1211112-12-1-121111-1-1-1-1-2-2-2-2-1-2-2-1-11111-1-2-2221111-1-1-1-122-2-2221111-1-1-1-1-1-1-1-111110000000000000000
χ3322-2-20022-200-22-2002-200220000-222-2-2-222-2-200002i2i−2i−2i200-2-2000022-20022-2-200002i−2i00002i2i−2i−2i00002i2i−2i−2i00000000000000000000
χ3422-2-20022-200-22-2002-200220000-222-2-2-222-2-20000−2i−2i2i2i200-2-2000022-20022-2-20000−2i2i0000−2i−2i2i2i0000−2i−2i2i2i00000000000000000000
χ3522-2-20022-200-22-2002-200-12−i3−i3i3i3-2-1211-2-1-111−i3−i3i3i32i2i−2i−2i-10011−i3−i3i3i3-12-200-1-111−i3−i3i3i32i−2i0000−i−iii33−3−3−i−iii33−3−30000000000000000
χ3622-2-20022-200-22-2002-200-12−i3−i3i3i3-2-1211-2-1-111−i3−i3i3i3−2i−2i2i2i-10011−i3−i3i3i3-12-200-1-111−i3−i3i3i3−2i2i0000ii−i−i−3−333ii−i−i−3−3330000000000000000
χ3722-2-20022-200-22-2002-200-12i3i3−i3−i3-2-1211-2-1-111i3i3−i3−i32i2i−2i−2i-10011i3i3−i3−i3-12-200-1-111i3i3−i3−i32i−2i0000−i−iii−3−333−i−iii−3−3330000000000000000
χ3822-2-20022-200-22-2002-200-12i3i3−i3−i3-2-1211-2-1-111i3i3−i3−i3−2i−2i2i2i-10011i3i3−i3−i3-12-200-1-111i3i3−i3−i3−2i2i0000ii−i−i33−3−3ii−i−i33−3−30000000000000000
χ3922-2-2002-2200-22-200-2200220000-222-2-2-2-2-22200002i2i−2i−2i200-2-200002-2200-2-2220000−2i2i00002i2i−2i−2i0000−2i−2i2i2i00000000000000000000
χ4022-2-2002-2200-22-200-2200220000-222-2-2-2-2-2220000−2i−2i2i2i200-2-200002-2200-2-22200002i−2i0000−2i−2i2i2i00002i2i−2i−2i00000000000000000000
χ4122-2-2002-2200-22-200-2200-12−i3−i3i3i3-2-1211-211-1-1i3i3−i3−i32i2i−2i−2i-10011−i3−i3i3i3-1-220011-1-1i3i3−i3−i3−2i2i0000−i−iii33−3−3ii−i−i−3−3330000000000000000
χ4222-2-2002-2200-22-200-2200-12−i3−i3i3i3-2-1211-211-1-1i3i3−i3−i3−2i−2i2i2i-10011−i3−i3i3i3-1-220011-1-1i3i3−i3−i32i−2i0000ii−i−i−3−333−i−iii33−3−30000000000000000
χ4322-2-2002-2200-22-200-2200-12i3i3−i3−i3-2-1211-211-1-1−i3−i3i3i32i2i−2i−2i-10011i3i3−i3−i3-1-220011-1-1−i3−i3i3i3−2i2i0000−i−iii−3−333ii−i−i33−3−30000000000000000
χ4422-2-2002-2200-22-200-2200-12i3i3−i3−i3-2-1211-211-1-1−i3−i3i3i3−2i−2i2i2i-10011i3i3−i3−i3-1-220011-1-1−i3−i3i3i32i−2i0000ii−i−i33−3−3−i−iii−3−3330000000000000000
χ452-22-2002002i−2i2-2-200002i−2i2200002-2-22-2-200002i−2i2i−2i2i−2i2i−2i2002-20000-2002i−2i00002i−2i2i−2i002-2002i−2i2i−2i000000002-22-20000000000000000
χ462-22-2002002i−2i2-2-200002i−2i2200002-2-22-2-200002i−2i2i−2i−2i2i−2i2i2002-20000-2002i−2i00002i−2i2i−2i00-2200−2i2i−2i2i00000000-22-220000000000000000
χ472-22-2002002i−2i2-2-200002i−2i-12−i3i3−i3i321-2-11-23−33−3−ii−ii2i−2i2i−2i-100-11−i3i3−i3i31002i−2i3−33−3−ii−ii002-200−ii−ii3−33−3−i3i3−i3i3-11-110000000000000000
χ482-22-2002002i−2i2-2-200002i−2i-12−i3i3−i3i321-2-11-23−33−3−ii−ii−2i2i−2i2i-100-11−i3i3−i3i31002i−2i3−33−3−ii−ii00-2200i−ii−i−33−33i3−i3i3−i31-11-10000000000000000
χ492-22-2002002i−2i2-2-200002i−2i-12i3−i3i3−i321-2-11-2−33−33−ii−ii2i−2i2i−2i-100-11i3−i3i3−i31002i−2i−33−33−ii−ii002-200−ii−ii−33−33i3−i3i3−i3-11-110000000000000000
χ502-22-2002002i−2i2-2-200002i−2i-12i3−i3i3−i321-2-11-2−33−33−ii−ii−2i2i−2i2i-100-11i3−i3i3−i31002i−2i−33−33−ii−ii00-2200i−ii−i3−33−3−i3i3−i3i31-11-10000000000000000
χ512-22-200200−2i2i2-2-20000−2i2i2200002-2-22-2-20000−2i2i−2i2i2i−2i2i−2i2002-20000-200−2i2i0000−2i2i−2i2i00-22002i−2i2i−2i00000000-22-220000000000000000
χ522-22-200200−2i2i2-2-20000−2i2i2200002-2-22-2-20000−2i2i−2i2i−2i2i−2i2i2002-20000-200−2i2i0000−2i2i−2i2i002-200−2i2i−2i2i000000002-22-20000000000000000
χ532-22-200200−2i2i2-2-20000−2i2i-12−i3i3−i3i321-2-11-2−33−33i−ii−i2i−2i2i−2i-100-11−i3i3−i3i3100−2i2i−33−33i−ii−i00-2200−ii−ii3−33−3i3−i3i3−i31-11-10000000000000000
χ542-22-200200−2i2i2-2-20000−2i2i-12−i3i3−i3i321-2-11-2−33−33i−ii−i−2i2i−2i2i-100-11−i3i3−i3i3100−2i2i−33−33i−ii−i002-200i−ii−i−33−33−i3i3−i3i3-11-110000000000000000
χ552-22-200200−2i2i2-2-20000−2i2i-12i3−i3i3−i321-2-11-23−33−3i−ii−i2i−2i2i−2i-100-11i3−i3i3−i3100−2i2i3−33−3i−ii−i00-2200−ii−ii−33−33−i3i3−i3i31-11-10000000000000000
χ562-22-200200−2i2i2-2-20000−2i2i-12i3−i3i3−i321-2-11-23−33−3i−ii−i−2i2i−2i2i-100-11i3−i3i3−i3100−2i2i3−33−3i−ii−i002-200i−ii−i3−33−3i3−i3i3−i3-11-110000000000000000
χ572-2-222-220000-2-222-20000222-2-22-2-2-2-222000000002-2-2222-2-222-2-22-200000000000000002-22-2-222-2-22000000000000000000000000
χ582-2-222-220000-2-222-20000222-2-22-2-2-2-22200000000-222-222-2-222-2-22-20000000000000000-22-222-2-222-2000000000000000000000000
χ592-2-222-220000-2-222-20000-12-111-1-21-21-123−3−333−3−332-2-22-12-21-1-111-1100003−3−333−3−3300002-2-111-1-111-1−333−3−333−30000000000000000
χ602-2-222-220000-2-222-20000-12-111-1-21-21-123−3−333−3−33-222-2-12-21-1-111-1100003−3−333−3−330000-221-1-111-1-113−3−333−3−330000000000000000
χ612-2-222-220000-2-222-20000-12-111-1-21-21-12−333−3−333−32-2-22-12-21-1-111-110000−333−3−333−300002-2-111-1-111-13−3−333−3−330000000000000000
χ622-2-222-220000-2-222-20000-12-111-1-21-21-12−333−3−333−3-222-2-12-21-1-111-110000−333−3−333−30000-221-1-111-1-11−333−3−333−30000000000000000
χ632-2-22-2220000-2-22-22000022-222-2-2-2-2-222000000002-2-222-22-22-222-2-20000000000000000-222-2-22-222-2000000000000000000000000
χ642-2-22-2220000-2-22-22000022-222-2-2-2-2-22200000000-222-22-22-22-222-2-200000000000000002-2-222-22-2-22000000000000000000000000
χ652-2-22-2220000-2-22-220000-121-1-11-21-21-123−3−33−333−32-2-22-1-221-11-1-11100003−3−33−333−30000-22-111-11-1-11−333−33−3−330000000000000000
χ662-2-22-2220000-2-22-220000-121-1-11-21-21-123−3−33−333−3-222-2-1-221-11-1-11100003−3−33−333−300002-21-1-11-111-13−3−33−333−30000000000000000
χ672-2-22-2220000-2-22-220000-121-1-11-21-21-12−333−33−3−332-2-22-1-221-11-1-1110000−333−33−3−330000-22-111-11-1-113−3−33−333−30000000000000000
χ682-2-22-2220000-2-22-220000-121-1-11-21-21-12−333−33−3−33-222-2-1-221-11-1-1110000−333−33−3−3300002-21-1-11-111-1−333−33−3−330000000000000000
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
χ714444-4-4444-4-4444-4-444-4-4-2-22222-2-2-2-2-2-2-2-2-2-22222000012211-1-1-1-11-2-2221111-1-1-1-100000000000000000000000000000000000000
χ724444-4-44-4-444444-4-4-4-444-2-22222-2-2-2-2-2-22222-2-2-2-2000012211-1-1-1-1122-2-2-1-1-1-1111100000000000000000000000000000000000000
χ7344-4-40044-400-44-4004-4004-2000024-2-4-4244-4-400000000-200220000-2-2200-2-222000000000000000000000000000000000000000000
χ7444-4-40044-400-44-4004-400-2-2−2i3−2i32i32i32-2-2222-2-222−2i3−2i32i32i30000100-1-1i3i3−i3−i31-220011-1-1i3i3−i3−i300000000000000000000000000000000000000
χ7544-4-40044-400-44-4004-400-2-22i32i3−2i3−2i32-2-2222-2-2222i32i3−2i3−2i30000100-1-1−i3−i3i3i31-220011-1-1−i3−i3i3i300000000000000000000000000000000000000
χ7644-4-4004-4400-44-400-44004-2000024-2-4-42-4-44400000000-200220000-22-20022-2-2000000000000000000000000000000000000000000
χ7744-4-4004-4400-44-400-4400-2-2−2i3−2i32i32i32-2-222222-2-22i32i3−2i3−2i30000100-1-1i3i3−i3−i312-200-1-111−i3−i3i3i300000000000000000000000000000000000000
χ7844-4-4004-4400-44-400-4400-2-22i32i3−2i3−2i32-2-222222-2-2−2i3−2i32i32i30000100-1-1−i3−i3i3i312-200-1-111i3i3−i3−i300000000000000000000000000000000000000
χ794-44-4004004i−4i4-4-400004i−4i4-20000-2-424-4200004i−4i4i−4i0000-200-220000200−2i2i0000−2i2i−2i2i00000000000000000000000000000000000000
χ804-44-4004004i−4i4-4-400004i−4i-2-2−2i32i3−2i32i3-222-22223−2323−23−2i2i−2i2i00001001-1i3−i3i3−i3-100−2i2i−33−33i−ii−i00000000000000000000000000000000000000
χ814-44-4004004i−4i4-4-400004i−4i-2-22i3−2i32i3−2i3-222-222−2323−2323−2i2i−2i2i00001001-1−i3i3−i3i3-100−2i2i3−33−3i−ii−i00000000000000000000000000000000000000
χ824-44-400400−4i4i4-4-40000−4i4i4-20000-2-424-420000−4i4i−4i4i0000-200-2200002002i−2i00002i−2i2i−2i00000000000000000000000000000000000000
χ834-44-400400−4i4i4-4-40000−4i4i-2-2−2i32i3−2i32i3-222-222−2323−23232i−2i2i−2i00001001-1i3−i3i3−i3-1002i−2i3−33−3−ii−ii00000000000000000000000000000000000000
χ844-44-400400−4i4i4-4-40000−4i4i-2-22i3−2i32i3−2i3-222-22223−2323−232i−2i2i−2i00001001-1−i3i3−i3i3-1002i−2i−33−33−ii−ii00000000000000000000000000000000000000
χ854-4-444-440000-4-444-400004-24-4-442-42-44-2000000000000-2-222-2-222-2200000000000000000000000000000000000000000000000000
χ864-4-444-440000-4-444-40000-2-2-222-22222-2-223−23−232323−23−232300001-22-111-1-11-10000−333−3−333−300000000000000000000000000000000000000
χ874-4-444-440000-4-444-40000-2-2-222-22222-2-2−232323−23−232323−2300001-22-111-1-11-100003−3−333−3−3300000000000000000000000000000000000000
χ884-4-44-4440000-4-44-4400004-2-444-42-42-44-2000000000000-22-22-22-2-22200000000000000000000000000000000000000000000000000
χ894-4-44-4440000-4-44-440000-2-22-2-222222-2-223−23−2323−232323−23000012-2-11-111-1-10000−333−33−3−3300000000000000000000000000000000000000
χ904-4-44-4440000-4-44-440000-2-22-2-222222-2-2−232323−2323−23−2323000012-2-11-111-1-100003−3−33−333−300000000000000000000000000000000000000
χ91666666-36666-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022002200-1-100-1-100
χ92666666-36666-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-200-2-20011001100
χ93666666-3-6-6-6-6-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000002-2002-200-1100-1100
χ94666666-3-6-6-6-6-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2200-22001-1001-100
χ956666-6-6-366-6-6-3-3-333-3-333000000000000000000000000000000000000000000000000000000000000000000002200-2-200-1-1001100
χ966666-6-6-366-6-6-3-3-333-3-33300000000000000000000000000000000000000000000000000000000000000000000-2-20022001100-1-100
χ976666-6-6-3-6-666-3-3-33333-3-3000000000000000000000000000000000000000000000000000000000000000000002-200-2200-11001-100
χ986666-6-6-3-6-666-3-3-33333-3-300000000000000000000000000000000000000000000000000000000000000000000-22002-2001-100-1100
χ991212-12-1200-612-12006-6600-6600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001212-12-1200-6-1212006-66006-600000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10112-1212-1200-60012i−12i-6660000−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-1200-600−12i12i-66600006i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-121212-12-6000066-6-660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212-1212-6000066-66-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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