Finite Group Databasebeta

← Group #13168238

Character table — Group #13168238

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666444436661212121212121212121212121244441212121212121212121212122244121212121212121212121212121212121212444466121212122244121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11
χ31111111111111111111111111111111-1-111111111111111111111-11111-1-111-1-111-1-111-11111-111-1-111-1-111111-1-1-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-1-11-11111-1-1-1-1-1-1-1-111-1-1-11-1-11-111-1-111-1-1-1-1-1-1-11-1-111-1-1-1-11111-11-1
χ511111111111111111111111111111-1-1111111111111111111111-11-1-1-1-11111111111-1-11-111-11-1-111-1-1111111-11-1-111-1-1-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-111-1-111-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-11-1-1-1-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-111-1-1-11-1-11111-1-1-1-111-1-1-111-1-1-11111-1-111-11-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-1111-11-111-1-11111-1-11-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111111-1-11-1111-1-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-1-1-11-11-1-1111-1-1-1-111-1-11111-11-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-1-1-1-1-1-11-111-1-1-11111-1-111-1-111-11-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111-111-11-1-1-11111-1-1-1-111-1-1-111111-1-1-1-111-1-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-111-1-111-1111-1-1-1-1111111-1-11-11-111-1-111-1-1111-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-11111-1-111-111-1-1-1111111-1-1-11-1
χ17222222-1-1222-122-122-1-122-1-1-12-12-1-10022-1-1-1-1-122-1-122-1-1-1-1-1-1220200002222-1-1-1-12200-102-10200-1-100-1-1-1-1-1-10200-1-1000000000-10
χ18222222-1-1222-122-122-1-122-1-1-12-12-1-10022-1-1-1-1-122-1-122-1-1-1-1-1-1-2-202000022-2-2-1-111-2-200-10-210200-1-100-1-111110-2001100000000010
χ19222222-1-1222-122-122-1-122-1-1-12-12-1-100-2-2-1-1-1-1-122-1-122-1-1-1-1-1-1220-20000-2-22211-1-1-2-200102-10-200110011-1-1-1-10-2001100000000010
χ20222222-1-1222-122-122-1-122-1-1-12-12-1-100-2-2-1-1-1-1-122-1-122-1-1-1-1-1-1-2-20-20000-2-2-2-21111220010-210-20011001111110200-1-1000000000-10
χ21222222-1-1222-122-122-1-1-22-1-1-12-12-1-10022-1-1-1-11-2-211-2-21111112-20-200002222-1-111-2-20010-2-10-200-1-10011-1-111020011000000000-10
χ22222222-1-1222-122-122-1-1-22-1-1-12-12-1-10022-1-1-1-11-2-211-2-2111111-220-2000022-2-2-1-1-1-1220010210-200-1-1001111-1-10-200-1-100000000010
χ23222222-1-1222-122-122-1-1-22-1-1-12-12-1-100-2-2-1-1-1-11-2-211-2-21111112-2020000-2-22211112200-10-2-102001100-1-1-1-1110-200-1-100000000010
χ24222222-1-1222-122-122-1-1-22-1-1-12-12-1-100-2-2-1-1-1-11-2-211-2-2111111-22020000-2-2-2-211-1-1-2-200-102102001100-1-111-1-1020011000000000-10
χ2522222-12222-12-1-122-12-12-12-1-1-12-12-12200-1-1-1-12-12-1-1-1-122-1-1-1-1222022-1-100-1-1002200220-1-1220-1-100-1-100-1-1-1-1200000-1-1000000-100
χ2622222-12222-12-1-122-12-12-12-1-1-12-12-12200-1-1-1-12-12-1-1-1-122-1-1-1-1-2-22022-1-1001100-2-200-2-20-11-220-1-100-1-1001111-20000011000000100
χ2722222-12222-12-1-122-12-12-12-1-1-12-12-1-2-200-1-1-1-12-12-1-1-1-122-1-1-1-122-20-2-21100-1-1002200-2-201-12-2011001100-1-1-1-1-20000011000000100
χ2822222-12222-12-1-122-12-12-12-1-1-12-12-1-2-200-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2-20-2-211001100-2-20022011-2-20110011001111200000-1-1000000-100
χ2922222-12222-12-1-122-12-1-2-12-1-1-12-12-12200-1-1-1-1-21-21111-2-211112-2-2022-1-100-1-100-2-200220112-20-1-1001100-1-111-200000-1-1000000100
χ3022222-12222-12-1-122-12-1-2-12-1-1-12-12-12200-1-1-1-1-21-21111-2-21111-22-2022-1-10011002200-2-201-1-2-20-1-100110011-1-120000011000000-100
χ3122222-12222-12-1-122-12-1-2-12-1-1-12-12-1-2-200-1-1-1-1-21-21111-2-211112-220-2-21100-1-100-2-200-2-20-112201100-1-100-1-11120000011000000-100
χ3222222-12222-12-1-122-12-1-2-12-1-1-12-12-1-2-200-1-1-1-1-21-21111-2-21111-2220-2-2110011002200220-1-1-2201100-1-10011-1-1-200000-1-1000000100
χ332222-1222-1-122222-1-1-122-1-122-1-1-1-122222-1-1-1-122-122-1-1-1-1-1-1-1-10022-1-122-1-100220000002200-1-1-1-1-1-1-1-1-1-1000000220000-1-1000000-1
χ342222-1222-1-122222-1-1-122-1-122-1-1-1-1222-2-2-1-1-1-122-122-1-1-1-1-1-1-1-1002-2-1-1221100-2-2000000-2200-11-1-111-1-111000000-2-20000110000001
χ352222-1222-1-122222-1-1-122-1-122-1-1-1-12-2-222-1-1-1-122-122-1-1-1-1-1-1-1-100-2211-2-2-1-100220000002-2001-111-1-111-1-1000000-2-20000110000001
χ362222-1222-1-122222-1-1-122-1-122-1-1-1-12-2-2-2-2-1-1-1-122-122-1-1-1-1-1-1-1-100-2-211-2-21100-2-2000000-2-2001111111111000000220000-1-1000000-1
χ372222-1222-1-122222-1-1-12-2-1-122-1-1-1-122222-1-1-1-1-2-21-2-21111111100-2-2-1-122-1-10022000000-2-20011-1-1-1-111110000002-20000-1-10000001
χ382222-1222-1-122222-1-1-12-2-1-122-1-1-1-1222-2-2-1-1-1-1-2-21-2-21111111100-22-1-1221100-2-20000002-2001-1-1-11111-1-1000000-22000011000000-1
χ392222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-222-1-1-1-1-2-21-2-211111111002-211-2-2-1-10022000000-2200-1111-1-1-1-111000000-22000011000000-1
χ402222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-1-1-1-1-2-21-2-211111111002211-2-21100-2-20000002200-1-11111-1-1-1-10000002-20000-1-10000001
χ4122-2-222222-22-2-2-2-2-22220-222-22-2-2-2-22-20022-2-2000000000000000002-22-2000000002-2000000002-2000000000000002-200002-200000
χ4222-2-222222-22-2-2-2-2-22220-222-22-2-2-2-22-20022-2-2000000000000000002-22-200000000-22000000002-200000000000000-220000-2200000
χ4322-2-222222-22-2-2-2-2-22220-222-22-2-2-2-2-220022-2-200000000000000000-22-22000000002-200000000-22000000000000002-20000-2200000
χ4422-2-222222-22-2-2-2-2-22220-222-22-2-2-2-2-220022-2-200000000000000000-22-2200000000-2200000000-2200000000000000-2200002-200000
χ452-22-2222-2-22-2-2-222-222202-2-2-2-22-2-22002-22-22-20000000000000000000002-2002-200002i−2i000000002-2000000000000002i−2i00002i−2i000
χ462-22-2222-2-22-2-2-222-222202-2-2-2-22-2-22002-22-22-20000000000000000000002-2002-20000−2i2i000000002-200000000000000−2i2i0000−2i2i000
χ472-22-2222-2-22-2-2-222-222202-2-2-2-22-2-2200-222-22-2000000000000000000000-2200-2200002i−2i00000000-22000000000000002i−2i0000−2i2i000
χ482-22-2222-2-22-2-2-222-222202-2-2-2-22-2-2200-222-22-2000000000000000000000-2200-220000−2i2i00000000-2200000000000000−2i2i00002i−2i000
χ4944444-2-2-244-2-2-2-2-24-2-214-2-211-2-2-2-2100001111-2-2411-2-2-2-211114400000000-2-200-2-2000000-2-20000000000111100000000000000000
χ5044444-2-2-244-2-2-2-2-24-2-214-2-211-2-2-2-2100001111-2-2411-2-2-2-21111-4-400000000220022000000220000000000-1-1-1-100000000000000000
χ5144444-2-2-244-2-2-2-2-24-2-21-4-2-211-2-2-2-210000111122-4-1-12222-1-1-1-14-400000000-2-200220000002-2000000000011-1-100000000000000000
χ5244444-2-2-244-2-2-2-2-24-2-21-4-2-211-2-2-2-210000111122-4-1-12222-1-1-1-1-44000000002200-2-2000000-220000000000-1-11100000000000000000
χ534444-24-2-2-2-24-244-2-2-21-24-21-2-2-21-21-200441111-24-2-2-2-2-211111100040000-2-200-2-2000000-20000-200110011000000000000000000000
χ544444-24-2-2-2-24-244-2-2-21-24-21-2-2-21-21-200-4-41111-24-2-2-2-2-2111111000-4000022002200000020000200-1-100-1-1000000000000000000000
χ554444-24-2-2-2-24-244-2-2-21-2-4-21-2-2-21-21-2004411112-422222-1-1-1-1-1-1000-40000-2-200-2-2000000200002001100-1-1000000000000000000000
χ564444-24-2-2-2-24-244-2-2-21-2-4-21-2-2-21-21-200-4-411112-422222-1-1-1-1-1-100040000220022000000-20000-200-1-10011000000000000000000000
χ574444-2-244-2-2-24-2-24-21-2-241-2-2-21-21-2-2440011114-2-2-2-211-2-211110040-2-2-2-20000000000000-200-2011001100000000000000000000000
χ584444-2-244-2-2-24-2-24-21-2-241-2-2-21-21-2-2-4-40011114-2-2-2-211-2-2111100-402222000000000000020020-1-100-1-100000000000000000000000
χ594444-2-244-2-2-24-2-24-21-2-2-41-2-2-21-21-2-244001111-42222-1-122-1-1-1-100-40-2-2-2-20000000000000200201100-1-100000000000000000000000
χ604444-2-244-2-2-24-2-24-21-2-2-41-2-2-21-21-2-2-4-4001111-42222-1-122-1-1-1-1004022220000000000000-200-20-1-1001100000000000000000000000
χ6144-4-444-2-24-442-4-42-44-2-20-4-2-2242-4220000-2-222000000000000000000000000000004-4000000000000000000000000-2200000000000
χ6244-4-444-2-24-442-4-42-44-2-20-4-2-2242-4220000-2-22200000000000000000000000000000-440000000000000000000000002-200000000000
χ6344-4-44-2444-4-2-422-4-4-24-2024-22-2-42-424-400-2-222000000000000000004-4-22000000000000000000-22000000000000000000000000000
χ6444-4-44-2444-4-2-422-4-4-24-2024-22-2-42-42-4400-2-22200000000000000000-442-20000000000000000002-2000000000000000000000000000
χ6544-4-4-2444-224-4-4-4-42-2-2402-24-4-2222-44-400-2-22200000000000000000-224-4000000000000000000-22000000000000000000000000000
χ6644-4-4-2444-224-4-4-4-42-2-2402-24-4-2222-4-4400-2-222000000000000000002-2-440000000000000000002-2000000000000000000000000000
χ6744-4-4-2-244-22-2-422-421-2-20-1-2-2212-1224-40011-1-1000003i−3i003i3i−3i−3i0000-22-220000000000000000001-1003i−3i00000000000000000000000
χ6844-4-4-2-244-22-2-422-421-2-20-1-2-2212-1224-40011-1-100000−3i3i00−3i−3i3i3i0000-22-220000000000000000001-100−3i3i00000000000000000000000
χ6944-4-4-2-244-22-2-422-421-2-20-1-2-2212-122-440011-1-1000003i−3i003i3i−3i−3i00002-22-2000000000000000000-1100−3i3i00000000000000000000000
χ7044-4-4-2-244-22-2-422-421-2-20-1-2-2212-122-440011-1-100000−3i3i00−3i−3i3i3i00002-22-2000000000000000000-11003i−3i00000000000000000000000
χ714-44-444-22-44-42-44-2-44-2-204222-4-2-42-2004-4-22-220000000000000000000004-400-2200000000000000-220000000000000000000000000
χ724-44-444-22-44-42-44-2-44-2-204222-4-2-42-200-44-22-22000000000000000000000-44002-2000000000000002-20000000000000000000000000
χ734-44-44-24-4-442-42-24-4-24-20-2-422242-4-20000-22-2200000000000000000000000000000004i−4i000000000000000000000000−2i2i000000000
χ744-44-44-24-4-442-42-24-4-24-20-2-422242-4-20000-22-220000000000000000000000000000000−4i4i0000000000000000000000002i−2i000000000
χ754-44-4-244-42-2-4-4-4442-2-240-22-4-42-2224004-4-22-22000000000000000000000-22004-400000000000000-220000000000000000000000000
χ764-44-4-244-42-2-4-4-4442-2-240-22-4-42-222400-44-22-220000000000000000000002-200-44000000000000002-20000000000000000000000000
χ774-44-4-24-222-2-42-44-22-21-20-2-122212-1-2004-41-11-100000003i−3i3i−3i3i−3i00000000-2200-22000000000000001-1003i−3i000000000000000000000
χ784-44-4-24-222-2-42-44-22-21-20-2-122212-1-2004-41-11-10000000−3i3i−3i3i−3i3i00000000-2200-22000000000000001-100−3i3i000000000000000000000
χ794-44-4-24-222-2-42-44-22-21-20-2-122212-1-200-441-11-100000003i−3i3i−3i3i−3i000000002-2002-200000000000000-1100−3i3i000000000000000000000
χ804-44-4-24-222-2-42-44-22-21-20-2-122212-1-200-441-11-10000000−3i3i−3i3i−3i3i000000002-2002-200000000000000-11003i−3i000000000000000000000
χ814-4-44444-4-4-4-444-4-444440-4-4-44-4-444-400004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ824-4-4444-22-4-4-4-24-4244-2-20-422-2-424-220000-222-200000000000000000000000000023−230000000000000000000023−2300000000000000000
χ834-4-4444-22-4-4-4-24-4244-2-20-422-2-424-220000-222-2000000000000000000000000000−232300000000000000000000−232300000000000000000
χ844-4-444-24-4-4-424-22-44-24-202-42-22-4-2420000-222-20000000000000000000000023−23000000000000000000000023−230000000000000000000
χ854-4-444-24-4-4-424-22-44-24-202-42-22-4-2420000-222-200000000000000000000000−23230000000000000000000000−23230000000000000000000
χ864-4-444-2-22-4-42-2-2224-2-21022-1122-2-2-100001-1-110003-300003-3-33000000000023−230023−23000000000000000000−33−3300000000000000000
χ874-4-444-2-22-4-42-2-2224-2-21022-1122-2-2-100001-1-110003-300003-3-330000000000−232300−23230000000000000000003−33−300000000000000000
χ884-4-444-2-22-4-42-2-2224-2-21022-1122-2-2-100001-1-11000-330000-333-3000000000023−2300−2323000000000000000000−333−300000000000000000
χ894-4-444-2-22-4-42-2-2224-2-21022-1122-2-2-100001-1-11000-330000-333-30000000000−23230023−230000000000000000003−3−3300000000000000000
χ904-4-44-244-422-444-4-4-2-2-24022-4422-2-2-40000-222-200000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ914-4-44-244-422-444-4-4-2-2-24022-4422-2-2-40000-222-2000000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ928888-4-4-4-4-4-4-4-4-4-4-4-422282222222220000-1-1-1-1-4-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000
χ938888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222220000-1-1-1-1444-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-4-48-8-44444-8-4-4204-42-2-4444-2000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48-4-4-4484-8-844-42-4042-44-4-24-24000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-4-4-44-4444442220-222-22-2-2-2-20000-1-111000006i−6i00−3i−3i3i3i0000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4-4-44-4444442220-222-22-2-2-2-20000-1-11100000−6i6i003i3i−3i−3i0000000000000000000000000000000000000000000000000000000
χ988-88-88-4-44-88444-4-4-8-4-420-44-2-24-444200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-48-84-44-84-4842-4-402444-2-4-24-400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-444-4444-4-4422202-2-2-2-22-2-220000-11-1100000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-444-4444-4-4422202-2-2-2-22-2-220000-11-110000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-4444-8-48-84-4-42-404-24-44-2-42400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-84448-44-8-42-4-40-244-4-242-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44444-4-444-42220-2-2-22-2-222-20000-111-10006-60000-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44444-4-444-42220-2-2-22-2-222-20000-111-1000-6600003-3-330000000000000000000000000000000000000000000000000000000

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