Finite Group Databasebeta

← Group #13172097

Character table — Group #13172097

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order122233366666666623336666666664436666666666666666224446666121212121212121244666666121212121212121212121212224441212121212124466124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-111-1-111-1-11111-1-11-111-1-111-11111111-1-1-1-111-1-1-1-1-111-1-1-1-11-1
χ3111111111111111111111111111111111111111111111111-11-111-1-111-1-1111111-1-1-11-1-111111-11111-1-1111-1-1-11-1-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1-111-1-1-1-111-11-11
χ511111111111111111111111111111-1-111111111111111111111-1111111111-1-1-1-111111111-1-111-1-1-1-11111-11-1-1-111-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-1111111111111111111-11-1-111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-11-1-1-1-111-1-11-1-1-11-1-111-1-1111-1-11
χ711111111111111111111111111111-1-111111111111111111-11-1-11-1-111-1-111-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-111
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
χ91111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ101111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111-1-1-1-1111111-1-11-111-1-1-1-11-111-1-1-1-11111-11-1-1-1-1-111-1-111-11
χ111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-11111-1-1-11-1-111-1-1-1111-1-111-1-1-111-11-1-111-1-1-1-1-1111
χ121111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111111-11-1-111-1-1-1-1111-11-1
χ131111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-11-1-111-1-1-1-1-1-11-111
χ141111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-11-111-1-1111-1-1-111-1-111-111-11-1-111-1-111-111-1
χ151111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-11-1-11111-1-111-11-1-1-1-1-1111111-1-1
χ161111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-111111111-1-1-1-1-11
χ17222222-122-1-122-12222-1-12-1-1-1-122-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1222022222-1-1-1-1000022-1-1-1-1-1-100220000-1-1-1-102000-1-10000000-100
χ18222222-122-1-122-12222-1-12-1-1-1-122-1-100-122-122-1-1-1-1-1-1-1-1-1-1-12-220-222-2-2-1-1110000-2-2-11-1-11100-220000-1-1110-2000110000000100
χ19222222-122-1-122-12222-1-12-1-1-1-122-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-22-202-2-22211-1-10000-2-21-111-1-1002-2000011-1-10-2000110000000100
χ20222222-122-1-122-12222-1-12-1-1-1-122-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-2-2-2-2111100002211111100-2-20000111102000-1-10000000-100
χ21222222-122-1-122-122-22-1-12-1-1-1-122-1-100-1-2-21-2-21111-1-1-1111122-20-222221111000022-1-1-1-1-1-100-2-2000011110-2000-1-10000000100
χ22222222-122-1-122-122-22-1-12-1-1-1-122-1-100-1-2-21-2-21111-1-1-111112-2-20222-2-211-1-10000-2-2-11-1-111002-2000011-1-102000110000000-100
χ23222222-122-1-122-122-22-1-12-1-1-1-122-1-100-1-2-21-2-21111-1-1-11111-2220-2-2-222-1-1110000-2-21-111-1-100-220000-1-11102000110000000-100
χ24222222-122-1-122-122-22-1-12-1-1-1-122-1-100-1-2-21-2-21111-1-1-11111-2-2202-2-2-2-2-1-1-1-100002211111100220000-1-1-1-10-2000-1-10000000100
χ2522222-12-1222-122-122-12-1-122-1-1-1-12-122-12-12-1-122-1-1-1-1-1-1-1-1-10202200-1-10022-1-122000200-1-12-1-10-1-1-1-100-1-12000200-1-10000-1000
χ2622222-12-1222-122-122-12-1-122-1-1-1-12-122-12-12-1-122-1-1-1-1-1-1-1-1-10-202-2001100-2-2-1-122000-200112-110-1-1-1-10011-2000-2001100001000
χ2722222-12-1222-122-122-12-1-122-1-1-1-12-1-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1020-2200-1-1002211-2-2000200-1-1-21-10111100-1-1-2000-2001100001000
χ2822222-12-1222-122-122-12-1-122-1-1-1-12-1-2-2-12-12-1-122-1-1-1-1-1-1-1-1-10-20-2-2001100-2-211-2-2000-20011-2110111100112000200-1-10000-1000
χ2922222-12-1222-122-12-2-12-1-122-1-1-1-12-122-1-21-211-2-211-1-1-11111020-2-200-1-100-2-2-1-122000200-1-1-2110-1-1110011-2000200-1-100001000
χ3022222-12-1222-122-12-2-12-1-122-1-1-1-12-122-1-21-211-2-211-1-1-111110-20-2200110022-1-122000-20011-21-10-1-11100-1-12000-200110000-1000
χ3122222-12-1222-122-12-2-12-1-122-1-1-1-12-1-2-2-1-21-211-2-211-1-1-111110202-200-1-100-2-211-2-2000200-1-12-11011-1-100112000-200110000-1000
χ3222222-12-1222-122-12-2-12-1-122-1-1-1-12-1-2-2-1-21-211-2-211-1-1-111110-20220011002211-2-2000-200112-1-1011-1-100-1-1-2000200-1-100001000
χ332222-1222-1222-122-12-1-12-1-1-122-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-120220-1-100220022-1-10020-1-100-120-1-1-1-1-1-1-100002200000-1-10000-10
χ342222-1222-1222-122-12-1-12-1-1-122-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2201100-2-20022-1-100-201100-1201-1-1-1-1110000-2-20000011000010
χ352222-1222-1222-122-12-1-12-1-1-122-1-1-12-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1202-20-1-1002200-2-2110020-1-1001-20-11111-1-10000-2-20000011000010
χ362222-1222-1222-122-12-1-12-1-1-122-1-1-12-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2-201100-2-200-2-21100-2011001-20111111100002200000-1-10000-10
χ372222-1222-1222-122-1-2-1-12-1-1-122-1-1-1222-11-2-21111-2-2-1-1-1111120-2-20-1-100-2-20022-1-10020-1-1001-201-1-111110000-2200000-1-1000010
χ382222-1222-1222-122-1-2-1-12-1-1-122-1-1-1222-11-2-21111-2-2-1-1-11111-202-201100220022-1-100-2011001-20-1-1-111-1-100002-200000110000-10
χ392222-1222-1222-122-1-2-1-12-1-1-122-1-1-12-2-2-11-2-21111-2-2-1-1-1111120-220-1-100-2-200-2-2110020-1-100-120111-1-11100002-200000110000-10
χ402222-1222-1222-122-1-2-1-12-1-1-122-1-1-12-2-2-11-2-21111-2-2-1-1-11111-2022011002200-2-21100-201100-120-111-1-1-1-10000-2200000-1-1000010
χ4122-2-22222-2-2-2-222-2-2022222-22-2-2-2-2-22i−2i20000000002-2-2000000000000000002i−2i2i−2i2-200000000002i−2i000000000002-200002i−2i0000
χ4222-2-22222-2-2-2-222-2-2022222-22-2-2-2-2-22i−2i20000000002-2-2000000000000000002i−2i2i−2i-2200000000002i−2i00000000000-220000−2i2i0000
χ4322-2-22222-2-2-2-222-2-2022222-22-2-2-2-2-2−2i2i20000000002-2-200000000000000000−2i2i−2i2i2-20000000000−2i2i000000000002-20000−2i2i0000
χ4422-2-22222-2-2-2-222-2-2022222-22-2-2-2-2-2−2i2i20000000002-2-200000000000000000−2i2i−2i2i-220000000000−2i2i00000000000-2200002i−2i0000
χ4544444-2-2-24-2-2-24-2-244-2-21-2-2-211-2-2-210014-2-2-2-2-2-21111111110400400-2-200-2-20000000-2001100-200000001100000000000000000
χ4644444-2-2-24-2-2-24-2-244-2-21-2-2-211-2-2-210014-2-2-2-2-2-21111111110-400-4002200220000000200-1-10020000000-1-100000000000000000
χ4744444-2-2-24-2-2-24-2-24-4-2-21-2-2-211-2-2-21001-4222222-1-1111-1-1-1-10400-400-2-200220000000-200110020000000-1-100000000000000000
χ4844444-2-2-24-2-2-24-2-24-4-2-21-2-2-211-2-2-21001-4222222-1-1111-1-1-1-10-4004002200-2-20000000200-1-100-200000001100000000000000000
χ494444-24-24-2-2-24-2-24-24-21-2-211-2-2-2-21-2001-24-2-2-211-2-2111111140400-2-200-2-200000000-201100000-20000110000000000000000000
χ504444-24-24-2-2-24-2-24-24-21-2-211-2-2-2-21-2001-24-2-2-211-2-21111111-40-4002200220000000020-1-10000020000-1-10000000000000000000
χ514444-24-24-2-2-24-2-24-2-4-21-2-211-2-2-2-21-20012-4222-1-122111-1-1-1-140-400-2-2002200000000-20110000020000-1-10000000000000000000
χ524444-24-24-2-2-24-2-24-2-4-21-2-211-2-2-2-21-20012-4222-1-122111-1-1-1-1-404002200-2-20000000020-1-100000-20000110000000000000000000
χ534444-2-24-2-244-2-24-2-241-2-21-2-2-2-211-2-2441-2-2411-2-2-2-211111110004000000000-2-2-2-200000000-2-2001111000000000000000000000
χ544444-2-24-2-244-2-24-2-241-2-21-2-2-2-211-2-2-4-41-2-2411-2-2-2-21111111000-40000000002222000000002200-1-1-1-1000000000000000000000
χ554444-2-24-2-244-2-24-2-2-41-2-21-2-2-2-211-2-244122-4-1-12222111-1-1-1-1000-4000000000-2-2-2-200000000220011-1-1000000000000000000000
χ564444-2-24-2-244-2-24-2-2-41-2-21-2-2-2-211-2-2-4-4122-4-1-12222111-1-1-1-10004000000000222200000000-2-200-1-111000000000000000000000
χ5744-4-444-24-422-44-2-4-404-2-24-22-22-4-42200-2000000000-2220000000000000000000004-400000000000000000000000-220000000000
χ5844-4-444-24-422-44-2-4-404-2-24-22-22-4-42200-2000000000-222000000000000000000000-44000000000000000000000002-20000000000
χ5944-4-44-24-2-4-4-42442-40-24-2-24-4-2222-424i−4i-2000000000-22200000000000000000−2i2i4i−4i000000000000−2i2i00000000000000000000000
χ6044-4-44-24-2-4-4-42442-40-24-2-24-4-2222-42−4i4i-2000000000-222000000000000000002i−2i−4i4i0000000000002i−2i00000000000000000000000
χ6144-4-4-24442-4-4-4-24-420-2-24-2-224-4222-44i−4i-2000000000-222000000000000000004i−4i−2i2i000000000000−2i2i00000000000000000000000
χ6244-4-4-24442-4-4-4-24-420-2-24-2-224-4222-4−4i4i-2000000000-22200000000000000000−4i4i2i−2i0000000000002i−2i00000000000000000000000
χ6344-4-4-2-24-22-4-42-242201-2-21-22-22-1-1224i−4i10003-300001-1-133-3-30000000000000−2i2i−2i2i000000000000i−i3i−3i000000000000000000000
χ6444-4-4-2-24-22-4-42-242201-2-21-22-22-1-1224i−4i1000-3300001-1-1-3-3330000000000000−2i2i−2i2i000000000000i−i−3i3i000000000000000000000
χ6544-4-4-2-24-22-4-42-242201-2-21-22-22-1-122−4i4i10003-300001-1-133-3-300000000000002i−2i2i−2i000000000000−ii−3i3i000000000000000000000
χ6644-4-4-2-24-22-4-42-242201-2-21-22-22-1-122−4i4i1000-3300001-1-1-3-33300000000000002i−2i2i−2i000000000000−ii3i−3i000000000000000000000
χ674-44-4444-4-44-4-4-4-4440444-4-4-4-444-44-4004000000000-44-40000000000000000000000000000000000000000000000000000000000
χ684-44-444-2-4-4-22-4-424404-2-2-4222-24-4-2200-20000000002-220000000000000−2i32i30000000000000000000000−2i32i30000000000000000000
χ694-44-444-2-4-4-22-4-424404-2-2-4222-24-4-2200-20000000002-2200000000000002i3−2i300000000000000000000002i3−2i30000000000000000000
χ704-44-44-242-44-42-4-4-240-24-22-4-42-2-224200-20000000002-22000000000000000000000000000000000000000000000000−2i32i300000000
χ714-44-44-242-44-42-4-4-240-24-22-4-42-2-224200-20000000002-220000000000000000000000000000000000000000000000002i3−2i300000000
χ724-44-4-244-424-4-42-44-20-2-24222-44-22-2-400-20000000002-22000000000−2i32i300000000000000−2i32i30000000000000000000000000000000
χ734-44-4-244-424-4-42-44-20-2-24222-44-22-2-400-20000000002-220000000002i3−2i3000000000000002i3−2i30000000000000000000000000000000
χ744-44-4-24-2-42-22-4224-20-21-22-1-12-2-2212001000003-300-11-13-33-300000−2i32i300−2i32i30000000000i3−i30000000000i3−i30000000000000000000
χ754-44-4-24-2-42-22-4224-20-21-22-1-12-2-2212001000003-300-11-13-33-3000002i3−2i3002i3−2i30000000000−i3i30000000000−i3i30000000000000000000
χ764-44-4-24-2-42-22-4224-20-21-22-1-12-2-221200100000-3300-11-1-33-3300000−2i32i3002i3−2i30000000000i3−i30000000000−i3i30000000000000000000
χ774-44-4-24-2-42-22-4224-20-21-22-1-12-2-221200100000-3300-11-1-33-33000002i3−2i300−2i32i30000000000−i3i30000000000i3−i30000000000000000000
χ784-4-44444-44-444-4-4-4-40444-4-44-4-4-44-44004000000000-4-440000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-442-24-42-4-404-2-2-42-222-442-200-200000000022-2000000000000000−2i32i30000000000000000000000−2i32i300000000000000000
χ804-4-4444-2-442-24-42-4-404-2-2-42-222-442-200-200000000022-20000000000000002i3−2i300000000000000000000002i3−2i300000000000000000
χ814-4-444-2424-44-2-4-42-40-24-22-44222-2-4-200-200000000022-200000000000−2i32i300000000000000−2i32i300000000000000000000000000000
χ824-4-444-2424-44-2-4-42-40-24-22-44222-2-4-200-200000000022-2000000000002i3−2i3000000000000002i3−2i300000000000000000000000000000
χ834-4-444-2-2242-2-2-422-40-2-2122-2-1-12-22100100000003-3-1-113-3-330000000−2i32i300−2i32i30000000000i3−i30000000000i3−i300000000000000000
χ844-4-444-2-2242-2-2-422-40-2-2122-2-1-12-22100100000003-3-1-113-3-3300000002i3−2i3002i3−2i30000000000−i3i30000000000−i3i300000000000000000
χ854-4-444-2-2242-2-2-422-40-2-2122-2-1-12-2210010000000-33-1-11-333-30000000−2i32i3002i3−2i30000000000i3−i30000000000−i3i300000000000000000
χ864-4-444-2-2242-2-2-422-40-2-2122-2-1-12-2210010000000-33-1-11-333-300000002i3−2i300−2i32i30000000000−i3i30000000000i3−i300000000000000000
χ874-4-44-244-4-2-4442-4-420-2-2422-2-4-42-22400-200000000022-20000000000000000000000000000000000000000000000000023−23000000
χ884-4-44-244-4-2-4442-4-420-2-2422-2-4-42-22400-200000000022-200000000000000000000000000000000000000000000000000−2323000000
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
χ9188-8-88-4-4-4-84448-44-80-4-42-4-442-2444-20020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-48444-8-4-4-840-42-4-42-2-4444-240020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-44444-4-444022222-22-2-2-2-2-200-10006-60000-111-3-333000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-44444-4-444022222-22-2-2-2-2-200-1000-660000-11133-3-3000000000000000000000000000000000000000000000000000000
χ958-88-88-4-44-8-444-84-480-4-42444-22-44-4-2002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-48448-844-8-4-402-4-4-2444-42-2-44002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-444-44444-4-40222-2-2-2-222-22-200-1000006-6001-11-33-33000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-444-44444-4-40222-2-2-2-222-22-200-100000-66001-113-33-3000000000000000000000000000000000000000000000000000000
χ998-8-88-48-4-8-44-4844-840-42-44-22444-4-2-4002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-484-4-88-44-84402-4-4-24-444-224-4002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44-44-4-444440222-2-22-2-2-22-2200-100000006-611-1-333-3000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44-44-4-444440222-2-22-2-2-22-2200-10000000-6611-13-3-33000000000000000000000000000000000000000000000000000000

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