Finite Group Databasebeta

← Group #13172265

Character table — Group #13172265

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222224444444444444444448888888888888812121212121218181818181824242424242424242424242424242424242424242424242436363636363636363636363636363654545454
order12222233366666666633366666666666666636666666666666244444444444666612121212121212121212121212121212121212124441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-111-111-1-1-1-1111111-1-11-1111-1111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-111-11-1-111-1-11111-1-111-1111-1111-1-1-1-11111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111-111-111-1-1-1-111-1-1-1-1111111-1-111-1-111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-111-1-11-1-1-11-1-1-11111-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-111-11-1-1-11-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1
χ91111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1111-1-1-111111111111-11-111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-111-1-111-1-1-1-111
χ101111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111111-1-111-1-1-1-11-1-111-1-1-1-111-11111-1-1-1-111-1-11111-1-1
χ111111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-11-11-1-1-111-1-11111-111-1-11-1-11-1-1-1-1-11111-1-11-11-1-11111-1-1-1-11111-1-1
χ121111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11-1-1-111-1-1-1-1111111-11-11-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-11111-1-1-1-111
χ131111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11-11-11111-1-11111-1-111-1-111-1-1-111-1-11111-1-111-1-1
χ141111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-111-1-1-1-1-1-11-1-111-111-111111-1-1-1-1111-11-1-11111-1-1-1-111-1-111
χ151111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-111-1-11111-111-1-11111-1-1-11111-1-1-1-111-1-111-1-111
χ161111-1-1111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111111-1-1-1-1-11-11-1-1111111-1-111-1-111-1-1-111-1-111-1-111-1-111-1-1
χ1722222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-12022020022002-1-1-100-1-1022-102-1-10000-1-1-1-10200000-1-1-1-100000000
χ1822222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-120-220-200-2-2002-1-1-100110-22-10-2-1-1000011110-200000111100000000
χ1922222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-202-20200-2-200-211100-1-102-2102110000-1-1-1-10-200000111100000000
χ2022222222-1222-1-122-122-1-12222-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-20-2-20-2002200-211100110-2-210-211000011110200000-1-1-1-100000000
χ212222222-122-1-1222-122-12-122-1-122-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1220220220000-12-1-1-1-10020-1220-1-1-1-1-1-10000200-1-1-1-1000000000000
χ222222222-122-1-1222-122-12-122-1-122-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-12-202-20-2-20000-12-1-11100-20-12-20-1-111110000-2001111000000000000
χ232222222-122-1-1222-122-12-122-1-122-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-220-220-2-200001-211-1-100201-22011-1-1-1-10000-2001111000000000000
χ242222222-122-1-1222-122-12-122-1-122-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-2-20-2-202200001-2111100-201-2-201111110000200-1-1-1-1000000000000
χ25222222-122-12222-122-1-1-12-1-12222-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-102202200002200002222-1-100-1-100-1-1-1-1-1-1-1-100200000000-1-1-1-10000
χ26222222-122-12222-122-1-1-12-1-12222-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-102-202-20000-2-2000022-2-2-1100-1100-1-1-1-1111100-20000000011110000
χ27222222-122-12222-122-1-1-12-1-12222-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-10-220-220000-2-20000-2-2221-1001-1001111-1-1-1-100-20000000011110000
χ28222222-122-12222-122-1-1-12-1-12222-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-10-2-20-2-20000220000-2-2-2-2110011001111111100200000000-1-1-1-10000
χ292222-2-222-1222-1-122-122-1-1-2-2-2-2112-1-1-122-1-1-1-1-2-21111-1-1-11111202-20-20022002-1-1-100-1102-210-2110000-1-1110-200000-1-11100000000
χ302222-2-222-1222-1-122-122-1-1-2-2-2-2112-1-1-122-1-1-1-1-2-21111-1-1-1111120-2-20200-2-2002-1-1-1001-10-2-210211000011-1-1020000011-1-100000000
χ312222-2-222-1222-1-122-122-1-1-2-2-2-2112-1-1-122-1-1-1-1-2-21111-1-1-11111-20220-200-2-200-211100-11022-10-2-1-10000-1-111020000011-1-100000000
χ322222-2-222-1222-1-122-122-1-1-2-2-2-2112-1-1-122-1-1-1-1-2-21111-1-1-11111-20-2202002200-2111001-10-22-102-1-1000011-1-10-200000-1-11100000000
χ332222-2-22-122-1-1222-122-12-1-2-211-2-2-12-1-1-1-122-1-111-2-211-1-1-11111220-2-20220000-12-1-1-1100201-2-2011-1-1110000-200-1-111000000000000
χ342222-2-22-122-1-1222-122-12-1-2-211-2-2-12-1-1-1-122-1-111-2-211-1-1-111112-20-220-2-20000-12-1-11-100-201-2201111-1-1000020011-1-1000000000000
χ352222-2-22-122-1-1222-122-12-1-2-211-2-2-12-1-1-1-122-1-111-2-211-1-1-11111-2202-20-2-200001-211-110020-12-20-1-1-1-111000020011-1-1000000000000
χ362222-2-22-122-1-1222-122-12-1-2-211-2-2-12-1-1-1-122-1-111-2-211-1-1-11111-2-202202200001-2111-100-20-1220-1-111-1-10000-200-1-111000000000000
χ372222-2-2-122-12222-122-1-1-1211-2-2-2-2-1-122-1-1-1-12-11111-2-2-1-1-111110220-2-200002200002-22-2-1-1001100-1-111-1-11100-200000000-1-1110000
χ382222-2-2-122-12222-122-1-1-1211-2-2-2-2-1-122-1-1-1-12-11111-2-2-1-1-1111102-20-220000-2-200002-2-22-11001-100-1-11111-1-10020000000011-1-10000
χ392222-2-2-122-12222-122-1-1-1211-2-2-2-2-1-122-1-1-1-12-11111-2-2-1-1-111110-2202-20000-2-20000-222-21-100-110011-1-1-1-1110020000000011-1-10000
χ402222-2-2-122-12222-122-1-1-1211-2-2-2-2-1-122-1-1-1-12-11111-2-2-1-1-111110-2-20220000220000-22-221100-1-10011-1-111-1-100-200000000-1-1110000
χ412-22-22-22222-2-2-2-2-222-22222-22-22-222-2-2-2-2-2-2222-22-22-22-2-222-2-20000000000000000000000000000000000000000000000000002i−2i2i−2i
χ422-22-22-22222-2-2-2-2-222-22222-22-22-222-2-2-2-2-2-2222-22-22-22-2-222-2-2000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ432-22-2-222222-2-2-2-2-222-2222-22-22-2222-2-2-2-2-2-222-22-22-222-2-2-2-2220000000000000000000000000000000000000000000000000002i−2i−2i2i
χ442-22-2-222222-2-2-2-2-222-2222-22-22-2222-2-2-2-2-2-222-22-22-222-2-2-2-222000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ452-2-2200222-22-22-2-2-2-22222000000-2-22-22-22-2-22000000-22-200000000002i−2i2i−2i2-20000000000000000000000000002i−2i002i−2i002-2000000
χ462-2-2200222-22-22-2-2-2-22222000000-2-22-22-22-2-22000000-22-200000000002i−2i−2i2i-220000000000000000000000000002i−2i00−2i2i00-22000000
χ472-2-2200222-22-22-2-2-2-22222000000-2-22-22-22-2-22000000-22-20000000000−2i2i2i−2i-22000000000000000000000000000−2i2i002i−2i00-22000000
χ482-2-2200222-22-22-2-2-2-22222000000-2-22-22-22-2-22000000-22-20000000000−2i2i−2i2i2-2000000000000000000000000000−2i2i00−2i2i002-2000000
χ494444444-2-24-2-2-2-24-2-24-2-2144-2-2-2-2-2-211-2-2-2-211-2-2-2-2111111111400400000000-2-211000000-2-20011000000000000000000000000000
χ504444444-2-24-2-2-2-24-2-24-2-2144-2-2-2-2-2-211-2-2-2-211-2-2-2-2111111111-400-40000000022-1-10000002200-1-1000000000000000000000000000
χ51444444-24-2-244-2-2-24-2-2-21-2-2-244-2-2-21-2-2-2-211-21-2-211-2-21111111004004000000000000-2-20-2000-200000011110000000000000000000
χ52444444-24-2-244-2-2-24-2-2-21-2-2-244-2-2-21-2-2-2-211-21-2-211-2-2111111100-400-400000000000022020002000000-1-1-1-10000000000000000000
χ53444444-2-24-2-2-244-2-24-21-2-2-2-2-2-2441-2-2-211-2-2-2111-2-2-2-211111110400400000000000-2-200-2000-2000111100000000000000000000000
χ54444444-2-24-2-2-244-2-24-21-2-2-2-2-2-2441-2-2-211-2-2-2111-2-2-2-211111110-400-400000000000220020002000-1-1-1-100000000000000000000000
χ554444-4-44-2-24-2-2-2-24-2-24-2-21-4-42222-2-211-2-2-2-2112222-1-1111-1-1-1-1400-400000000-2-2110000002200-1-1000000000000000000000000000
χ564444-4-44-2-24-2-2-2-24-2-24-2-21-4-42222-2-211-2-2-2-2112222-1-1111-1-1-1-1-40040000000022-1-1000000-2-20011000000000000000000000000000
χ574444-4-4-24-2-244-2-2-24-2-2-21-222-4-422-21-2-2-2-211-2122-1-122111-1-1-1-100400-4000000000000-220-2000200000011-1-10000000000000000000
χ584444-4-4-24-2-244-2-2-24-2-2-21-222-4-422-21-2-2-2-211-2122-1-122111-1-1-1-100-40040000000000002-202000-2000000-1-1110000000000000000000
χ594444-4-4-2-24-2-2-244-2-24-21-2-22222-4-41-2-2-211-2-2-21-1-12222111-1-1-1-10400-400000000000-2200-2000200011-1-100000000000000000000000
χ604444-4-4-2-24-2-2-244-2-24-21-2-22222-4-41-2-2-211-2-2-21-1-12222111-1-1-1-10-4004000000000002-2002000-2000-1-11100000000000000000000000
χ6144-4-400444-4-44-444-4-4-4444000000-4-4-44-44-44-44000000-4-4400000000000000000000000000000000000000000000000000000000000
χ6244-4-40044-2-4-442-24-42-44-2-2000000-422-2-442-22-200000022-2000000000000000000000000000000000000000000000000023−2300000000
χ6344-4-40044-2-4-442-24-42-44-2-2000000-422-2-442-22-200000022-20000000000000000000000000000000000000000000000000−232300000000
χ6444-4-4004-24-42-2-4442-4-4-24-20000002-42-22-2-442-200000022-200000000000000000000000000000000000000000000023−23000000000000
χ6544-4-4004-24-42-2-4442-4-4-24-20000002-42-22-2-442-200000022-2000000000000000000000000000000000000000000000−2323000000000000
χ6644-4-400-2442-44-44-2-4-42-2-2400000022-442-22-2-4-200000022-20000000000000000000000000000000000000000000000000000023−230000
χ6744-4-400-2442-44-44-2-4-42-2-2400000022-442-22-2-4-200000022-200000000000000000000000000000000000000000000000000000−23230000
χ684-44-44-444-24-4-422-44-2-44-2-24-44-4-224-222-4-422-2-24-4-22-22-222-2-2220000000000000000000000000000000000000000000000000000000
χ694-44-44-44-24422-4-4-4-24-4-24-24-4-224-4-242222-4-4-2-2-224-4-22-222-2-2220000000000000000000000000000000000000000000000000000000
χ704-44-44-44-2-242222-4-2-2-4-2-214-4-22-22-2-2-1-1222211-22-221-11-1-111-1-1000000000000003-300000000003-3000000000000000000000000000
χ714-44-44-44-2-242222-4-2-2-4-2-214-4-22-22-2-2-1-1222211-22-221-11-1-111-1-100000000000000-330000000000-33000000000000000000000000000
χ724-44-44-4-244-2-4-4-4-42442-2-24-224-44-4-2-2-4-422224-2-22-224-4-222-2-2220000000000000000000000000000000000000000000000000000000
χ734-44-44-4-24-2-2-4-42224-22-21-2-224-4-22-212222-1-1-21-221-1-221-1-111-1-1000000000000000000000000000000003i−3i3i−3i0000000000000000000
χ744-44-44-4-24-2-2-4-42224-22-21-2-224-4-22-212222-1-1-21-221-1-221-1-111-1-100000000000000000000000000000000−3i3i−3i3i0000000000000000000
χ754-44-44-4-2-24-222-4-42-2421-2-2-22-224-41-222-1-122-211-1-22-221-1-111-1-100000000000000000000000000003i−3i3i−3i00000000000000000000000
χ764-44-44-4-2-24-222-4-42-2421-2-2-22-224-41-222-1-122-211-1-22-221-1-111-1-10000000000000000000000000000−3i3i−3i3i00000000000000000000000
χ774-44-4-4444-24-4-422-44-2-44-2-2-44-442-24-222-4-422-2-2-442-22-2-22222-2-20000000000000000000000000000000000000000000000000000000
χ784-44-4-444-24422-4-4-4-24-4-24-2-442-2-44-242222-4-4-2-22-2-442-2-22222-2-20000000000000000000000000000000000000000000000000000000
χ794-44-4-444-2-242222-4-2-2-4-2-21-442-22-2-2-2-1-12222112-22-2-111-1-1-1-111000000000000003-30000000000-33000000000000000000000000000
χ804-44-4-444-2-242222-4-2-2-4-2-21-442-22-2-2-2-1-12222112-22-2-111-1-1-1-11100000000000000-3300000000003-3000000000000000000000000000
χ814-44-4-44-244-2-4-4-4-42442-2-242-2-44-44-2-2-4-422224-22-22-2-44-22222-2-20000000000000000000000000000000000000000000000000000000
χ824-44-4-44-24-2-2-4-42224-22-21-22-2-442-2-212222-1-1-212-2-112-21-1-1-1-111000000000000000000000000000000003i−3i−3i3i0000000000000000000
χ834-44-4-44-24-2-2-4-42224-22-21-22-2-442-2-212222-1-1-212-2-112-21-1-1-1-11100000000000000000000000000000000−3i3i3i−3i0000000000000000000
χ844-44-4-44-2-24-222-4-42-2421-2-22-22-2-441-222-1-122-21-112-22-21-1-1-1-11100000000000000000000000000003i−3i−3i3i00000000000000000000000
χ854-44-4-44-2-24-222-4-42-2421-2-22-22-2-441-222-1-122-21-112-22-21-1-1-1-1110000000000000000000000000000−3i3i3i−3i00000000000000000000000
χ864-4-440044-2-44-4-22-4-4244-2-2000000-42-224-4-222-20000002-220000000000004i−4i000000000000000000000000000000000−2i2i0000000000
χ874-4-440044-2-44-4-22-4-4244-2-2000000-42-224-4-222-20000002-22000000000000−4i4i0000000000000000000000000000000002i−2i0000000000
χ884-4-44004-24-4-224-4-42-44-24-20000002-4-22-224-42-20000002-2200000000004i−4i0000000000000000000000000000000−2i2i00000000000000
χ894-4-44004-24-4-224-4-42-44-24-20000002-4-22-224-42-20000002-220000000000−4i4i00000000000000000000000000000002i−2i00000000000000
χ904-4-4400-24424-44-42-4-4-2-2-24000000224-4-22-22-4-20000002-22000000000000004-400000000000000000000000000000000000-22000000
χ914-4-4400-24424-44-42-4-4-2-2-24000000224-4-22-22-4-20000002-2200000000000000-44000000000000000000000000000000000002-2000000
χ92888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-4222222222-1222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ938888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222222222-1-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9488-8-8008-4-4-84-44-4844-8-4-4200000044-224-44-4-22000000-2-2200000000000000000000000000000000000000000000000000000000000
χ9588-8-800-48-44-884-4-4-844-42-40000004-24-44-4-2242000000-2-2200000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-4844-4-88-44-842-4-4000000-244-4-224-442000000-2-2200000000000000000000000000000000000000000000000000000000000
χ9788-8-800-4-4-444-44-4-4444222000000-2-2-22-22-22-2-100000011-1−3i33i3−3i33i30000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-4-444-44-4-4444222000000-2-2-22-22-22-2-100000011-13i3−3i33i3−3i30000000000000000000000000000000000000000000000000000000
χ998-88-88-8-4-4-4-444444-4-44222-44-44-4422-2-2-2-2-2-22-12-22-22-2-111-1-1110000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-4-4-4-444444-4-442224-44-44-422-2-2-2-2-2-22-1-22-22-22-11111-1-10000000000000000000000000000000000000000000000000000000
χ1018-8-88008-4-4-8-44-44-8448-4-42000000442-2-44-44-22000000-22-200000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-48-448-8-444-84-4-42-40000004-2-44-442-242000000-22-200000000000000000000000000000000000000000000000000000000000
χ1038-8-8800-4-484-448-844-8-42-4-4000000-24-442-2-4442000000-22-200000000000000000000000000000000000000000000000000000000000
χ1048-8-8800-4-4-44-44-44444-4222000000-2-22-22-22-2-2-10000001-11−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ1058-8-8800-4-4-44-44-44444-4222000000-2-22-22-22-2-2-10000001-113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000

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