Finite Group Databasebeta

← Group #13168487

Character table — Group #13168487

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212443666121212121212121212121212224446666121212124444444466666612121212121212121212121212124412121212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-111-1-1111111-1-1-1-1-1-11-111-1-11-11-11111-1-111111-1-1-1-1-111-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-111-11-1-1111111-1-111-1-1-1-1-11-1-111-11-1111-1-1111111-11-1-1-1-1-1-111-1-1-11-1
χ41111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111-1111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-11-111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-11-11-1-1-111-1-1-1-1-1-1-11-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-11111111111111111-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-11-1-111-11-11-1-1-1-111-1-1-1-11-1-1-1-1-111-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1111111-1-1-1-1111-111-1-1-11-11-1-1-1-11111-1-1-1111-1-111-1-111-11-1
χ111111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111-1-111-1-111-11-1-1111-11-1-1-111-1-111-1-11-111-1-1-1-111111-1-1
χ121111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1
χ141111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-1-1-1-111-1-1111-111-1-1-11-1111-1-111-1-1111-111-1-1-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-111-11-1-1111-11-11111-1-1-1-111-1111-1-111-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1
χ17222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1220222222000000002222-1-1-1-1-1-122-1-100-1-1-1-1000000-1-1-1-1000000000
χ18222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-12-202-222-2-200000000-2-2-2-2-11-1-1112-2-1100-1-1110000001111000000000
χ19222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1-220-22-2-22200000000-2-2-2-21-111-1-1-221-10011-1-10000001111000000000
χ20222222-122-1-122-1222-1-1222-1-1-1-1-1-12-1-100-1-1-1-122-1-1-1-122-1-1-1-1-2-20-2-2-2-2-2-2000000002222111111-2-211001111000000-1-1-1-1000000000
χ21222222-122-1-122-1222-1-1-222-1-1-1-1-1-121100-1-1-1-1-2-21111-2-21111220-2-222220000000022-2-2-1-1-1-1-1-1-2-21100111100000011-1-1000000000
χ22222222-122-1-122-1222-1-1-222-1-1-1-1-1-121100-1-1-1-1-2-21111-2-211112-20-2222-2-200000000-2-222-11-1-111-221-10011-1-1000000-1-111000000000
χ23222222-122-1-122-1222-1-1-222-1-1-1-1-1-121100-1-1-1-1-2-21111-2-21111-2202-2-2-22200000000-2-2221-111-1-12-2-1100-1-111000000-1-111000000000
χ24222222-122-1-122-1222-1-1-222-1-1-1-1-1-121100-1-1-1-1-2-21111-2-21111-2-2022-2-2-2-20000000022-2-211111122-1-100-1-1-1-100000011-1-1000000000
χ2522222-122-1222-122-1-12-12-1-12-12-12-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-10220200-1-122-1-1002200000200-1-10-1022-100-1-1-1-1-1-102000000-1-1000-10
χ2622222-122-1222-122-1-12-12-1-12-12-12-1-12222-1-1-1-12-122-1-1-1-1-1-1-1-10-220-2001122-1-100-2-200000-20011010-22-10011-1-1-1-10-20000001100010
χ2722222-122-1222-122-1-12-12-1-12-12-12-1-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-102-20200-1-1-2-21100-2-200000200-1-10-102-2100-1-111110-20000001100010
χ2822222-122-1222-122-1-12-12-1-12-12-12-1-122-2-2-1-1-1-12-122-1-1-1-1-1-1-1-10-2-20-20011-2-211002200000-20011010-2-210011111102000000-1-1000-10
χ2922222-122-1222-122-1-12-1-2-1-12-12-12-1-1-2-222-1-1-1-1-21-2-21111111102-20-200-1-122-1-1002200000200-1-1010-2-210011-1-1110-2000000-1-100010
χ3022222-122-1222-122-1-12-1-2-1-12-12-12-1-1-2-222-1-1-1-1-21-2-2111111110-2-202001122-1-100-2-200000-200110-102-2100-1-1-1-1110200000011000-10
χ3122222-122-1222-122-1-12-1-2-1-12-12-12-1-1-2-2-2-2-1-1-1-1-21-2-2111111110220-200-1-1-2-21100-2-200000200-1-1010-22-1001111-1-10200000011000-10
χ3222222-122-1222-122-1-12-1-2-1-12-12-12-1-1-2-2-2-2-1-1-1-1-21-2-2111111110-22020011-2-211002200000-200110-1022-100-1-111-1-10-2000000-1-100010
χ332222-122-1222-122-12-1-122-1-1-12-12-12-12222-1-1-1-1-12-1-122-1-1-1-1-1-120220-1-100-1-1222200000020-1-100-1020-12-1-100-1-1-1-1200000-1-10000-100
χ342222-122-1222-122-12-1-122-1-1-12-12-12-12222-1-1-1-1-12-1-122-1-1-1-1-1-1-202-201100-1-122-2-2000000-20110010-20-121100-1-1-1-1-200000110000100
χ352222-122-1222-122-12-1-122-1-1-12-12-12-122-2-2-1-1-1-1-12-1-122-1-1-1-1-1-120-220-1-10011-2-2-2-200000020-1-100-10201-2-1-1001111-200000110000100
χ362222-122-1222-122-12-1-122-1-1-12-12-12-122-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-20-2-20110011-2-222000000-20110010-201-211001111200000-1-10000-100
χ372222-122-1222-122-12-1-12-2-1-1-12-12-12-1-2-222-1-1-1-11-211-2-211111120-2-20-1-100-1-1222200000020-1-10010-201-21100-1-111-200000-1-10000100
χ382222-122-1222-122-12-1-12-2-1-1-12-12-12-1-2-222-1-1-1-11-211-2-2111111-20-2201100-1-122-2-2000000-201100-10201-2-1-100-1-111200000110000-100
χ392222-122-1222-122-12-1-12-2-1-1-12-12-12-1-2-2-2-2-1-1-1-11-211-2-2111111202-20-1-10011-2-2-2-200000020-1-10010-20-12110011-1-1200000110000-100
χ402222-122-1222-122-12-1-12-2-1-1-12-12-12-1-2-2-2-2-1-1-1-11-211-2-2111111-20220110011-2-222000000-201100-1020-12-1-10011-1-1-200000-1-10000100
χ4122-2-2222-2-22-2-2-2-2222220-2-2-2-222-2-22002-22-2-220000000000000000000002-22-20000002i−2i00000000000000002-200002i−2i0000002i−2i000
χ4222-2-2222-2-22-2-2-2-2222220-2-2-2-222-2-22002-22-2-220000000000000000000002-22-2000000−2i2i00000000000000002-20000−2i2i000000−2i2i000
χ4322-2-2222-2-22-2-2-2-2222220-2-2-2-222-2-2200-222-2-22000000000000000000000-22-220000002i−2i0000000000000000-2200002i−2i000000−2i2i000
χ4422-2-2222-2-22-2-2-2-2222220-2-2-2-222-2-2200-222-2-22000000000000000000000-22-22000000−2i2i0000000000000000-220000−2i2i0000002i−2i000
χ452-22-2222-2-2-2-2222-2-222202-2-2-2-2-222-2000022-2-200000000000000000000000002i−2i2i−2i2-2000000000000000000000000002-22i−2i2i−2i00000
χ462-22-2222-2-2-2-2222-2-222202-2-2-2-2-222-2000022-2-200000000000000000000000002i−2i−2i2i-2200000000000000000000000000-222i−2i−2i2i00000
χ472-22-2222-2-2-2-2222-2-222202-2-2-2-2-222-2000022-2-20000000000000000000000000−2i2i2i−2i-2200000000000000000000000000-22−2i2i2i−2i00000
χ482-22-2222-2-2-2-2222-2-222202-2-2-2-2-222-2000022-2-20000000000000000000000000−2i2i−2i2i2-2000000000000000000000000002-2−2i2i−2i2i00000
χ4944444-2-24-2-2-24-2-24-2-2-214-2-2-21-21-21-2-2-20011114-2-2-211-2-211110400400-2-20000000000000-200110-20-20000110000000000000000000
χ5044444-2-24-2-2-24-2-24-2-2-214-2-2-21-21-21-2-2-20011114-2-2-211-2-211110-400-400220000000000000200-1-102020000-1-10000000000000000000
χ5144444-2-24-2-2-24-2-24-2-2-21-4-2-2-21-21-21-222001111-4222-1-122-1-1-1-10400-400-2-20000000000000-2001102020000-1-10000000000000000000
χ5244444-2-24-2-2-24-2-24-2-2-21-4-2-2-21-21-21-222001111-4222-1-122-1-1-1-10-400400220000000000000200-1-10-20-20000110000000000000000000
χ534444-24-2-24-2-2-24-2-24-21-24-2-21-21-21-2-2-2-2001111-2411-2-2-2-2111140040-2-200000000000000-201100-20-200011000000000000000000000
χ544444-24-2-24-2-2-24-2-24-21-24-2-21-21-21-2-2-2-2001111-2411-2-2-2-21111-400-40220000000000000020-1-100202000-1-1000000000000000000000
χ554444-24-2-24-2-2-24-2-24-21-2-4-2-21-21-21-2-2220011112-4-1-12222-1-1-1-1400-40-2-200000000000000-201100202000-1-1000000000000000000000
χ564444-24-2-24-2-2-24-2-24-21-2-4-2-21-21-21-2-2220011112-4-1-12222-1-1-1-1-40040220000000000000020-1-100-20-200011000000000000000000000
χ574444-2-24-2-244-2-24-2-21-2-2411-2-2-2-2-2-2144441111-2-2-2-2-2-2111111004000000-2-2-2-2000000000000000000-2-200001111000000000000000
χ584444-2-24-2-244-2-24-2-21-2-2411-2-2-2-2-2-2144-4-41111-2-2-2-2-2-211111100-40000002222000000000000000000220000-1-1-1-1000000000000000
χ594444-2-24-2-244-2-24-2-21-2-2-411-2-2-2-2-2-21-4-4441111222222-1-1-1-1-1-100-4000000-2-2-2-200000000000000000022000011-1-1000000000000000
χ604444-2-24-2-244-2-24-2-21-2-2-411-2-2-2-2-2-21-4-4-4-41111222222-1-1-1-1-1-10040000002222000000000000000000-2-20000-1-111000000000000000
χ6144-4-444-2-4-4-22-4-42444-2-20-4-422-2-22240000-222-200000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000000
χ6244-4-444-2-4-4-22-4-42444-2-20-4-422-2-22240000-222-20000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000000
χ6344-4-44-24-424-4-42-44-2-24-2022-424-2-42-2004-4-222-20000000000000000000004-4-22000000000000000000000000-2200000000000000000
χ6444-4-44-24-424-4-42-44-2-24-2022-424-2-42-200-44-222-2000000000000000000000-442-20000000000000000000000002-200000000000000000
χ6544-4-4-2442-44-42-4-4-24-2-240222-4-242-4-2004-4-222-2000000000000000000000-224-4000000000000000000000000-2200000000000000000
χ6644-4-4-2442-44-42-4-4-24-2-240222-4-242-4-200-44-222-20000000000000000000002-2-440000000000000000000000002-200000000000000000
χ6744-4-4-2-24224-422-4-2-21-2-20-1-122-2-2221004-41-1-110000003-333-3-3000000000-22-220000000000000000000000001-13-3000000000000000
χ6844-4-4-2-24224-422-4-2-21-2-20-1-122-2-2221004-41-1-11000000-33-3-333000000000-22-220000000000000000000000001-1-33000000000000000
χ6944-4-4-2-24224-422-4-2-21-2-20-1-122-2-222100-441-1-110000003-333-3-30000000002-22-2000000000000000000000000-11-33000000000000000
χ7044-4-4-2-24224-422-4-2-21-2-20-1-122-2-222100-441-1-11000000-33-3-3330000000002-22-2000000000000000000000000-113-3000000000000000
χ714-44-444-2-4-42244-2-4-44-2-204-42222-2-2-40000-2-222000000000000000000000000000004-400000000000000000000000000-22000000000
χ724-44-444-2-4-42244-2-4-44-2-204-42222-2-2-40000-2-22200000000000000000000000000000-44000000000000000000000000002-2000000000
χ734-44-44-24-42-4-44-24-42-24-20-22-42-424-220000-2-2220000000000000000000000000004i−4i00000000000000000000000000000000−2i2i00000
χ744-44-44-24-42-4-44-24-42-24-20-22-42-424-220000-2-222000000000000000000000000000−4i4i000000000000000000000000000000002i−2i00000
χ754-44-4-2442-4-4-4-2442-4-2-240-222-42-4-2420000-2-22200000000000000000000000004i−4i00000000000000000000000000000000−2i2i0000000
χ764-44-4-2442-4-4-4-2442-4-2-240-222-42-4-2420000-2-2220000000000000000000000000−4i4i000000000000000000000000000000002i−2i0000000
χ774-4-4444444-44-4-4-4-4-44440-4444-4-4-4-4-400004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ784-4-4444-2442-2-4-42-4-44-2-20-44-2-22222-423−2300-22-220023−2323−230023−2323−2300000000000000000000000000000000000000000000000000000000
χ794-4-4444-2442-2-4-42-4-44-2-20-44-2-22222-4−232300-22-2200−2323−232300−2323−232300000000000000000000000000000000000000000000000000000000
χ804-4-444-244-2-44-42-4-42-24-202-24-2-42-4220000-22-220000000000000000000−2i32i30000000000000000−2i32i300000000000000000000000000000
χ814-4-444-244-2-44-42-4-42-24-202-24-2-42-4220000-22-2200000000000000000002i3−2i300000000000000002i3−2i300000000000000000000000000000
χ824-4-444-2-24-22-2-422-42-2-2102-2-212-12-1223−23001-11-10023−23−3300−33−330000000−2i32i30000000000000000i3−i3000000003i−3i0000000000000000000
χ834-4-444-2-24-22-2-422-42-2-2102-2-212-12-1223−23001-11-10023−23−3300−33−3300000002i3−2i30000000000000000−i3i300000000−3i3i0000000000000000000
χ844-4-444-2-24-22-2-422-42-2-2102-2-212-12-12−2323001-11-100−23233−3003−33−30000000−2i32i30000000000000000i3−i300000000−3i3i0000000000000000000
χ854-4-444-2-24-22-2-422-42-2-2102-2-212-12-12−2323001-11-100−23233−3003−33−300000002i3−2i30000000000000000−i3i3000000003i−3i0000000000000000000
χ864-4-44-244-24-442-4-42-4-2-2402-2-242-42-420000-22-2200000000000000000−2i32i30000000000000000−2i32i30000000000000000000000000000000
χ874-4-44-244-24-442-4-42-4-2-2402-2-242-42-420000-22-22000000000000000002i3−2i300000000000000002i3−2i30000000000000000000000000000000
χ884-4-44-24-2-242-22-422-4-21-202-21-2-12-12223−23001-11-100−3323−2300−33−3300000−2i32i30000000000000000i3−i3000000003i−3i000000000000000000000
χ894-4-44-24-2-242-22-422-4-21-202-21-2-12-12223−23001-11-100−3323−2300−33−33000002i3−2i30000000000000000−i3i300000000−3i3i000000000000000000000
χ904-4-44-24-2-242-22-422-4-21-202-21-2-12-122−2323001-11-1003−3−2323003−33−300000−2i32i30000000000000000i3−i300000000−3i3i000000000000000000000
χ914-4-44-24-2-242-22-422-4-21-202-21-2-12-122−2323001-11-1003−3−2323003−33−3000002i3−2i30000000000000000−i3i3000000003i−3i000000000000000000000
χ928888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-400-1-1-1-1-4-4222222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ938888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224400-1-1-1-144-2-2-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-4-84-44-8448-4-4-420444-2-424-2-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48-44-8-444-84-48-42-4044-242-4-24-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-444-44444-4-42220-2-2-2-222-2-220000-111-10000006-6-3-33300000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-444-44444-4-42220-2-2-2-222-2-220000-111-1000000-6633-3-300000000000000000000000000000000000000000000000000000000
χ988-88-88-4-4-84448-4-4-84-4-420-444-24-2-424000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-48-44-844-48-44-8-42-40-44-24-242-44000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4844-8-8-4-48442-4-402-24444-4-4-2000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44444-4-4-44422202-2-2-2-2-222-20000-1-1110000000033−33−333300000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-44444-4-4-44422202-2-2-2-2-222-20000-1-11100000000−333333−3300000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-4-4-8844-8442-4-40-22-4-44444-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-4-44-4444442220-2222-2-2-2-2-243−4300-11-1100−2323−2323003−33−300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4-44-4444442220-2222-2-2-2-2-2−434300-11-110023−2323−2300−33−3300000000000000000000000000000000000000000000000000000000

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