Finite Group Databasebeta

← Group #13171942

Character table — Group #13171942

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order122233366666666623336666666664436666666666666666244441212121212121212121212124466661212121212121212121212121212244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111-1-11111-11-11111111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1
χ31111111111111111111111111111111111111111111111111-1-111-1-111-1-1111111-1-111111-11-111-1-1-1-111111-1-11-111-1-1-1-1-1-11-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-11
χ511111111111111111111111111111-1-111111111111111111-1111111-1-1111111-1-111-1-1-1-11111-1-111111111-1-1-1-11-1-1-1-111-1-1-11-1-1
χ611111111111111111111111111111-1-111111111111111111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-11-1-11-111-1-1-1-1111-1-11
χ711111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-111-1-1-1-111-1-111-1-111
χ811111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1
χ91111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-11-11-1-111111111-1-1-1-1
χ101111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-111-1-1111-1-111-1-1-1-111-11
χ111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-1-1-11-1-1111-1-11111-1-111-1-1111-1-1-1-1-1-1-1111
χ121111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-111-11-11-1-1-1-1-111111-11-1
χ131111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-11-11-1-1-1-1-111-1-11-111
χ141111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1111-1-1-1-111-111-1
χ151111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1111-1-111-1-11111-1-1
χ161111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-1-1-1-111-1-111-1-1111111-1-111-1-1-1-111-1-1111-11-1-1111111-1-1-1-1-11
χ17222222-1-122-1222-1222-1-12-1-1-122-1-1-122-122-122-1-1-1-1-1-1-1-1-1-1-12002200-1-100-1-12222002-1-1-120-10-1-10000-1-1-1-120020-1-1000000-1000
χ18222222-1-122-1222-1222-1-12-1-1-122-1-1-122-122-122-1-1-1-1-1-1-1-1-1-1-1200-2-200-1-10011-2-222002-1-1-1-2010-1-100001111-200-20110000001000
χ19222222-1-122-1222-1222-1-12-1-1-122-1-1-1-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-20022001100-1-122-2-200-211120-10110000-1-1-1-1-200-20110000001000
χ20222222-1-122-1222-1222-1-12-1-1-122-1-1-1-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-200-2-200110011-2-2-2-200-2111-2010110000111120020-1-1000000-1000
χ21222222-1-122-1222-12-22-1-12-1-1-122-1-1-122-1-2-21-2-21111-1-1-11111-2002-200-1-100-1-1-2-22200-21112010-1-10000-1-111200-20-1-10000001000
χ22222222-1-122-1222-12-22-1-12-1-1-122-1-1-122-1-2-21-2-21111-1-1-11111-200-2200-1-10011222200-2111-20-10-1-1000011-1-1-2002011000000-1000
χ23222222-1-122-1222-12-22-1-12-1-1-122-1-1-1-2-2-1-2-21-2-21111-1-1-111112002-2001100-1-1-2-2-2-2002-1-1-12010110000-1-111-2002011000000-1000
χ24222222-1-122-1222-12-22-1-12-1-1-122-1-1-1-2-2-1-2-21-2-21111-1-1-11111200-220011001122-2-2002-1-1-1-20-1011000011-1-1200-20-1-10000001000
χ2522222-122-122-1222-12-12-1-12-1-1-1-122-122-12-12-1-122-1-1-1-1-1-1-1-1-122200-1-122220000-1-100-12-1-1020-1-1-1-1-1-1-100000220000-1-1000000-10
χ2622222-122-122-1222-12-12-1-12-1-1-1-122-122-12-12-1-122-1-1-1-1-1-1-1-1-12-2-2001122-2-20000-1-100-12-1-10-201-1-1111100000-2-200001100000010
χ2722222-122-122-1222-12-12-1-12-1-1-1-122-1-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-22200-1-1-2-222000011001-211020-111-1-1-1-100000-2-200001100000010
χ2822222-122-122-1222-12-12-1-12-1-1-1-122-1-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-2-2-20011-2-2-2-2000011001-2110-20111111100000220000-1-1000000-10
χ2922222-122-122-1222-1-2-12-1-12-1-1-1-122-122-1-21-211-2-211-1-1-11111-22-200-1-122-2-20000-1-1001-2110201-1-1-1-11100000-220000-1-100000010
χ3022222-122-122-1222-1-2-12-1-12-1-1-1-122-122-1-21-211-2-211-1-1-11111-2-22001122220000-1-1001-2110-20-1-1-111-1-1000002-2000011000000-10
χ3122222-122-122-1222-1-2-12-1-12-1-1-1-122-1-2-2-1-21-211-2-211-1-1-1111122-200-1-1-2-2-2-200001100-12-1-1020111-1-111000002-2000011000000-10
χ3222222-122-122-1222-1-2-12-1-12-1-1-1-122-1-2-2-1-21-211-2-211-1-1-111112-220011-2-22200001100-12-1-10-20-11111-1-100000-220000-1-100000010
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-1200-1-122-1-1-1-122-1-1-1-1-1-1-1022222200-1-122-1-100220000-1-12200-1-1-1-1-1-1-1-1000020000-1-1000-100
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-1200-1-122-1-1-1-122-1-1-1-1-1-1-1022-2-22200-1-1-2-21100-2-200001-1-2200-1-1-1-111110000-2000011000100
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1200-1-122-1-1-1-122-1-1-1-1-1-1-10-2-222-2-2001122-1-100-2-20000-112-2001111-1-1-1-10000-2000011000100
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1200-1-122-1-1-1-122-1-1-1-1-1-1-10-2-2-2-2-2-20011-2-2110022000011-2-20011111111000020000-1-1000-100
χ372222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-11-2-21111-2-2-1-1-1111102-22-2220011221100220000-1-1-2-200-1-111-1-1110000-20000-1-1000100
χ382222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-11-2-21111-2-2-1-1-1111102-2-22220011-2-2-1-100-2-200001-12-200-1-11111-1-100002000011000-100
χ392222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-11-2-21111-2-2-1-1-111110-222-2-2-200-1-1221100-2-20000-11-220011-1-1-1-11100002000011000-100
χ402222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-11-2-21111-2-2-1-1-111110-22-22-2-200-1-1-2-2-1-10022000011220011-1-111-1-10000-20000-1-1000100
χ412-22-2222-2-222-2-2-2-220222-2-2-2-22-22-222-220000000002-2-2000000000002-20000002-22i−2i000000002-2000000000000000002i−2i2i−2i0000
χ422-22-2222-2-222-2-2-2-220222-2-2-2-22-22-222-220000000002-2-2000000000002-20000002-2−2i2i000000002-200000000000000000−2i2i−2i2i0000
χ432-22-2222-2-222-2-2-2-220222-2-2-2-22-22-22-2220000000002-2-200000000000-22000000-222i−2i00000000-22000000000000000002i−2i−2i2i0000
χ442-22-2222-2-222-2-2-2-220222-2-2-2-22-22-22-2220000000002-2-200000000000-22000000-22−2i2i00000000-2200000000000000000−2i2i2i−2i0000
χ4544444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-214414-2-2-2-2-2-21111111114000000-2-2000000-2-200-2-2110000110000000000000000000000000
χ4644444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-21-4-414-2-2-2-2-2-2111111111-400000022000000220022-1-10000-1-10000000000000000000000000
χ4744444-2-2-2-24-2-244-2-2-4-2-21-2-211-2-2-2-21441-4222222-1-1111-1-1-1-1-4000000-2-2000000-2-20022-1-10000110000000000000000000000000
χ4844444-2-2-2-24-2-244-2-2-4-2-21-2-211-2-2-2-21-4-41-4222222-1-1111-1-1-1-14000000220000002200-2-2110000-1-10000000000000000000000000
χ494444-24-2-24-2-24-2-2-244-21-2-21-2-2-2-211-2001-24-2-2-211-2-2111111100044000000-2-2-2-200000000-20-20000000111100000000000000000
χ504444-24-2-24-2-24-2-2-244-21-2-21-2-2-2-211-2001-24-2-2-211-2-21111111000-4-40000002222000000002020000000-1-1-1-100000000000000000
χ514444-24-2-24-2-24-2-2-24-4-21-2-21-2-2-2-211-20012-4222-1-122111-1-1-1-10004-4000000-2-22200000000-202000000011-1-100000000000000000
χ524444-24-2-24-2-24-2-2-24-4-21-2-21-2-2-2-211-20012-4222-1-122111-1-1-1-1000-4400000022-2-20000000020-20000000-1-11100000000000000000
χ534444-2-244-2-24-2-2-24-241-2-21-2-2-211-2-2-2001-2-2411-2-2-2-2111111104400-2-200-2-20000000000000-20-2001111000000000000000000000
χ544444-2-244-2-24-2-2-24-241-2-21-2-2-211-2-2-2001-2-2411-2-2-2-211111110-4-400220022000000000000020200-1-1-1-1000000000000000000000
χ554444-2-244-2-24-2-2-24-2-41-2-21-2-2-211-2-2-200122-4-1-12222111-1-1-1-104-400-2-200220000000000000-2020011-1-1000000000000000000000
χ564444-2-244-2-24-2-2-24-2-41-2-21-2-2-211-2-2-200122-4-1-12222111-1-1-1-10-44002200-2-2000000000000020-200-1-111000000000000000000000
χ5744-4-444444-4-4-44-4-4-40444-444-4-44-4-4-4004000000000-44-40000000000000000000000000000000000000000000000000000000000
χ5844-4-444-2-24-42-44-42-404-2-2-4-2-22-4422200-20000000002-2200000000000000023−230000000000000000000023−230000000000000000000
χ5944-4-444-2-24-42-44-42-404-2-2-4-2-22-4422200-20000000002-22000000000000000−232300000000000000000000−23230000000000000000000
χ6044-4-44-244-2-4-424-4-420-24-224-222-2-4-4200-20000000002-2200000000000000000000000000000000000000000000000023−2300000000
χ6144-4-44-244-2-4-424-4-420-24-224-222-2-4-4200-20000000002-22000000000000000000000000000000000000000000000000−232300000000
χ6244-4-4-244442-4-4-22-4-40-2-242-24-42-222-400-20000000002-220000000000000000023−230000000000000000000023−2300000000000000000
χ6344-4-4-244442-4-4-22-4-40-2-242-24-42-222-400-20000000002-2200000000000000000−232300000000000000000000−232300000000000000000
χ6444-4-4-24-2-2422-4-222-40-21-221-222-2-1-12001000003-300-11-133-3-30000000000023−2323−23000000000000000000−33−3300000000000000000
χ6544-4-4-24-2-2422-4-222-40-21-221-222-2-1-12001000003-300-11-133-3-300000000000−2323−23230000000000000000003−33−300000000000000000
χ6644-4-4-24-2-2422-4-222-40-21-221-222-2-1-1200100000-3300-11-1-3-3330000000000023−23−2323000000000000000000−333−300000000000000000
χ6744-4-4-24-2-2422-4-222-40-21-221-222-2-1-1200100000-3300-11-1-3-33300000000000−232323−230000000000000000003−3−3300000000000000000
χ684-44-444-22-44-2-4-4-42404-2-2-42224-4-22-24-4-2000000000-22200000000000-220000004-40000000000-220000000000000000000000000
χ694-44-444-22-44-2-4-4-42404-2-2-42224-4-22-2-44-2000000000-222000000000002-2000000-4400000000002-20000000000000000000000000
χ704-44-44-24-42442-4-4-4-20-24-22-422-224-4-24-4-2000000000-222000000000004-4000000-220000000000-220000000000000000000000000
χ714-44-44-24-42442-4-4-4-20-24-22-422-224-4-2-44-2000000000-22200000000000-440000002-200000000002-20000000000000000000000000
χ724-44-44-2-2224-22-4-42-20-2-2122-1-1-22-2214-4100000003-31-1-13-33-30000000-22000000-2200003-300001-10000000000000000000000000
χ734-44-44-2-2224-22-4-42-20-2-2122-1-1-22-2214-410000000-331-1-1-33-330000000-22000000-220000-3300001-10000000000000000000000000
χ744-44-44-2-2224-22-4-42-20-2-2122-1-1-22-221-44100000003-31-1-13-33-300000002-20000002-20000-330000-110000000000000000000000000
χ754-44-44-2-2224-22-4-42-20-2-2122-1-1-22-221-4410000000-331-1-1-33-3300000002-20000002-200003-30000-110000000000000000000000000
χ764-44-4-244-4-4-24-422-440-2-2422-4-4-22-22400-2000000000-2220000000000000000000004i−4i000000000000000000000000000−2i2i000000
χ774-44-4-244-4-4-24-422-440-2-2422-4-4-22-22400-2000000000-222000000000000000000000−4i4i0000000000000000000000000002i−2i000000
χ784-4-44444-4-4-4-44-444-404444-4-44-4-4-44-4004000000000-4-440000000000000000000000000000000000000000000000000000000000
χ794-4-4444-22-4-424-44-2-404-2-2422-2-4-42-2200-200000000022-20000000000000000000000000000000000000000000000−2i32i30000000000
χ804-4-4444-22-4-424-44-2-404-2-2422-2-4-42-2200-200000000022-200000000000000000000000000000000000000000000002i3−2i30000000000
χ814-4-444-24-42-4-4-2-44420-24-2-2-42-222-44200-200000000022-200000000023−23000000000000000000000023−2300000000000000000000000
χ824-4-444-24-42-4-4-2-44420-24-2-2-42-222-44200-200000000022-2000000000−23230000000000000000000000−232300000000000000000000000
χ834-4-44-244-4-42-442-24-40-2-24-22-44222-2-400-200000000022-2000000000000023−230000000000000000000023−23000000000000000000000
χ844-4-44-244-4-42-442-24-40-2-24-22-44222-2-400-200000000022-20000000000000−232300000000000000000000−2323000000000000000000000
χ854-4-44-2-24-422-4-22-24201-2-2122-2-1-12-220010003-30000-1-113-3-330000023−230023−23000000000000000000−33−33000000000000000000000
χ864-4-44-2-24-422-4-22-24201-2-2122-2-1-12-220010003-30000-1-113-3-3300000−232300−23230000000000000000003−33−3000000000000000000000
χ874-4-44-2-24-422-4-22-24201-2-2122-2-1-12-22001000-330000-1-11-333-30000023−2300−2323000000000000000000−333−3000000000000000000000
χ884-4-44-2-24-422-4-22-24201-2-2122-2-1-12-22001000-330000-1-11-333-300000−23230023−230000000000000000003−3−33000000000000000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-4822222222222200-1-4-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4-822222222222200-1444-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000
χ9188-8-88-4-4-4-4-8448-8440-4-424-42-24-444-2002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-488-44-84-44-8402-4-4-2-4-44-22444002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-4-4444-44440222-222-2-22-2-2-200-1000006-6001-11-3-333000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-4-4444-44440222-222-2-22-2-2-200-100000-66001-1133-3-3000000000000000000000000000000000000000000000000000000
χ958-88-8-48-44-8-4-4-844480-42-44-244-442-2-40020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-48-84-48444-8-402-4-4-24442-2-44-40020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-444-4-44444-40222-2-2-2-22-22-2200-100000006-6-111-33-33000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-444-4-44444-40222-2-2-2-22-22-2200-10000000-66-1113-33-3000000000000000000000000000000000000000000000000000000
χ998-8-888-4-444-84-4-88-440-4-42-44-22444-4-2002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-44-84484-4-4-80-42-4-4-24-444-224002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44444-44-4-4402222-2-22-2-2-22-200-10006-6000011-1-333-3000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44444-44-4-4402222-2-22-2-2-22-200-1000-66000011-13-3-33000000000000000000000000000000000000000000000000000000

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