Finite Group Databasebeta

← Group #13168492

Character table — Group #13168492

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order12223336666666663334666666666443666121212121212121212121212122444466121212121212121212124466612121212121212121212121212121222444661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-111111111-1-1-1-1-1-1111-111-1111-1-1-1-111111-11-1-1-1-111-1-1-1-11-1-1-1
χ3111111111111111111111111111111111111111111111111-111-11-1-1-1-111111111-1-1-1-1-11111-1-1-111111111-11-11-111-1-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-111
χ511111111111111111111111111111-1-1111111111111111111-11111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1
χ611111111111111111111111111111-1-1111111111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-11-11
χ711111111111111111111111111111-1-111111111111111111-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-1-1-11111-1-1-1-11-11-1-1-1-111-1-1111-1-11
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
χ91111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1-11-111
χ101111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-1-11111111-1-1-11-1-1-111-1-111-1-11-1-11-1-1-1-1-1111111-1-1
χ111111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-111-1-1-11-1-1-1111-1-11111-1-1-111-1-111111111-1-1-1-1
χ121111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-111-1-1-1-1-1111
χ131111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-111-111-1
χ141111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-11111111-1111-1-1-111-1-1-1-111-111-1-1111111-1-1-1-1-11
χ151111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-111-1-1-1111-1111-1-111-1-1111-1-11-1-1-1-1-111-1-111-11
χ161111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1111-1-1-1-1111-11-1
χ17222222-122-12-1-12222-1-122-1-1-1-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-12202022-1-1-1-122000000-1-1-10-1202-1-10000-1-1-1-12020000-1-10000-1000
χ18222222-122-12-1-12222-1-122-1-1-1-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-1-220-20-2-211-1-1220000001110-120-2110000-1-1-1-1-20-200001100001000
χ19222222-122-12-1-12222-1-122-1-1-1-12-12-1-2-2-1-1-1-12-12-1-122-1-1-1-1-1-12-202022-1-111-2-2000000-1-1-101-202-1-100001111-20-200001100001000
χ20222222-122-12-1-12222-1-122-1-1-1-12-12-1-2-2-1-1-1-12-12-1-122-1-1-1-1-1-1-2-20-20-2-21111-2-200000011101-20-211000011112020000-1-10000-1000
χ21222222-122-12-1-12222-1-1-22-1-1-1-12-12-122-1-1-1-1-21-211-2-21111112-20-202211-1-122000000-1-1-101-20-2110000-1-11120-20000110000-1000
χ22222222-122-12-1-12222-1-1-22-1-1-1-12-12-122-1-1-1-1-21-211-2-2111111-2-2020-2-2-1-1-1-12200000011101-202-1-10000-1-111-2020000-1-100001000
χ23222222-122-12-1-12222-1-1-22-1-1-1-12-12-1-2-2-1-1-1-1-21-211-2-2111111220-20221111-2-2000000-1-1-10-120-211000011-1-1-2020000-1-100001000
χ24222222-122-12-1-12222-1-1-22-1-1-1-12-12-1-2-2-1-1-1-1-21-211-2-2111111-22020-2-2-1-111-2-20000001110-1202-1-1000011-1-120-20000110000-1000
χ2522222-122-12222-1-12-1-122-1-1-122-12-1-122-1-1-1-122-122-1-1-1-1-1-1-1-102202000022-1-1-1-1220000022-1-1000-1-1-1-1-1-1-1-102020-1-10000000-100
χ2622222-122-12222-1-12-1-122-1-1-122-12-1-122-1-1-1-122-122-1-1-1-1-1-1-1-102-20-2000022-1-111-2-200000-22-110001111-1-1-1-10-20-20110000000100
χ2722222-122-12222-1-12-1-122-1-1-122-12-1-1-2-2-1-1-1-122-122-1-1-1-1-1-1-1-10-22020000-2-211-1-122000002-21-1000-1-1-1-111110-20-20110000000100
χ2822222-122-12222-1-12-1-122-1-1-122-12-1-1-2-2-1-1-1-122-122-1-1-1-1-1-1-1-10-2-20-20000-2-21111-2-200000-2-2110001111111102020-1-10000000-100
χ2922222-122-12222-1-12-1-12-2-1-1-122-12-1-122-1-1-1-1-2-21-2-2111111110-220-2000022-1-1-1-1-2-2000002-21100011-1-1-1-111020-20-1-10000000100
χ3022222-122-12222-1-12-1-12-2-1-1-122-12-1-122-1-1-1-1-2-21-2-2111111110-2-202000022-1-1112200000-2-21-1000-1-111-1-1110-2020110000000-100
χ3122222-122-12222-1-12-1-12-2-1-1-122-12-1-1-2-2-1-1-1-1-2-21-2-2111111110220-20000-2-211-1-1-2-20000022-1100011-1-111-1-10-2020110000000-100
χ3222222-122-12222-1-12-1-12-2-1-1-122-12-1-1-2-2-1-1-1-1-2-21-2-21111111102-2020000-2-211112200000-22-1-1000-1-11111-1-1020-20-1-10000000100
χ332222-122-122-12222-1-12-12-122-1-1-1-1-1200-1-1-1-1-122-1-1-1-122-1-1-1-120222-1-122000022-1-1222-1-1-1002-1-1-1-1-1-1-10000000020000-1-10000-10
χ342222-122-122-12222-1-12-12-122-1-1-1-1-1200-1-1-1-1-122-1-1-1-122-1-1-1-120-22-2-1-1220000-2-211-2-22-1-1100-2-1-1-1111100000000-2000011000010
χ352222-122-122-12222-1-12-12-122-1-1-1-1-1200-1-1-1-1-122-1-1-1-122-1-1-1-1-202-2211-2-2000022-1-1-2-2-211-1002111-1-1-1-100000000-2000011000010
χ362222-122-122-12222-1-12-12-122-1-1-1-1-1200-1-1-1-1-122-1-1-1-122-1-1-1-1-20-2-2-211-2-20000-2-21122-211100-211111110000000020000-1-10000-10
χ372222-122-122-12222-1-12-1-2-122-1-1-1-1-1200-1-1-1-11-2-21111-2-21111202-2-2-1-1-2-200002211-2-22-1-1-100-211111-1-10000000020000110000-10
χ382222-122-122-12222-1-12-1-2-122-1-1-1-1-1200-1-1-1-11-2-21111-2-2111120-2-22-1-1-2-20000-2-2-1-1222-1-11002111-1-11100000000-20000-1-1000010
χ392222-122-122-12222-1-12-1-2-122-1-1-1-1-1200-1-1-1-11-2-21111-2-21111-2022-211220000221122-211-100-2-1-1-111-1-100000000-20000-1-1000010
χ402222-122-122-12222-1-12-1-2-122-1-1-1-1-1200-1-1-1-11-2-21111-2-21111-20-22211220000-2-2-1-1-2-2-2111002-1-1-1-1-1110000000020000110000-10
χ4122-2-2222-2-2-222-22-2-22220-2-2-2-22-2-2222-22-2-2200000000000000000000002-22-200002i−2i000000000000002-2000000000002i−2i2i−2i0000
χ4222-2-2222-2-2-222-22-2-22220-2-2-2-22-2-2222-22-2-2200000000000000000000002-22-20000−2i2i000000000000002-200000000000−2i2i−2i2i0000
χ4322-2-2222-2-2-222-22-2-22220-2-2-2-22-2-222-222-2-220000000000000000000000-22-2200002i−2i00000000000000-22000000000002i−2i−2i2i0000
χ4422-2-2222-2-2-222-22-2-22220-2-2-2-22-2-222-222-2-220000000000000000000000-22-220000−2i2i00000000000000-2200000000000−2i2i2i−2i0000
χ4544444-2-24-2-24-2-2-2-24-21-24-211-2-2-2-2-214411114-2-2-2-2-2-2111111040000000-2-2-2-20000000000-2-200000000111100000000000000000
χ4644444-2-24-2-24-2-2-2-24-21-24-211-2-2-2-2-21-4-411114-2-2-2-2-2-21111110-40000000222200000000002200000000-1-1-1-100000000000000000
χ4744444-2-24-2-24-2-2-2-24-21-2-4-211-2-2-2-2-21441111-4222222-1-1-1-1-1-10-40000000-2-2-2-20000000000220000000011-1-100000000000000000
χ4844444-2-24-2-24-2-2-2-24-21-2-4-211-2-2-2-2-21-4-41111-4222222-1-1-1-1-1-104000000022220000000000-2-200000000-1-11100000000000000000
χ494444-24-2-24-2-2-2-244-2-2-214-2-2-211-21-2-2001111-2-2411-2-2-2-2111140040-2-2-2-20000000000-2110000-2110000000000000000000000000
χ504444-24-2-24-2-2-2-244-2-2-214-2-2-211-21-2-2001111-2-2411-2-2-2-21111-400-40222200000000002-1-100002-1-10000000000000000000000000
χ514444-24-2-24-2-2-2-244-2-2-21-4-2-2-211-21-2-200111122-4-1-12222-1-1-1-1400-40-2-2220000000000-21100002-1-10000000000000000000000000
χ524444-24-2-24-2-2-2-244-2-2-21-4-2-2-211-21-2-200111122-4-1-12222-1-1-1-1-4004022-2-200000000002-1-10000-2110000000000000000000000000
χ534444-2-24-2-24-244-2-2-21-2-241-2-2-2-21-21-2001111-24-2-2-211-2-211110040400000000-2-2-2-200000-200-20001111000000000000000000000
χ544444-2-24-2-24-244-2-2-21-2-241-2-2-2-21-21-2001111-24-2-2-211-2-2111100-40-4000000002222000002002000-1-1-1-1000000000000000000000
χ554444-2-24-2-24-244-2-2-21-2-2-41-2-2-2-21-21-20011112-4222-1-122-1-1-1-10040-400000000-2-22200000-2002000-1-111000000000000000000000
χ564444-2-24-2-24-244-2-2-21-2-2-41-2-2-2-21-21-20011112-4222-1-122-1-1-1-100-4040000000022-2-200000200-200011-1-1000000000000000000000
χ5744-4-444-2-4-424-224-4-44-2-20-4222-2-424-24-4-222-20000000000000000000000-224-400000000000000000000-220000000000000000000
χ5844-4-444-2-4-424-224-4-44-2-20-4222-2-424-2-44-222-200000000000000000000002-2-44000000000000000000002-20000000000000000000
χ5944-4-44-24-42-444-4-22-4-2-240222-442-4-2-24-4-222-200000000000000000000004-4-2200000000000000000000-220000000000000000000
χ6044-4-44-24-42-444-4-22-4-2-240222-442-4-2-2-44-222-20000000000000000000000-442-2000000000000000000002-20000000000000000000
χ6144-4-44-2-2-4224-22-22-4-21-202-1-12-222-214-41-1-1100000003-333-3-3000000000-22-22000000000000000000001-13-300000000000000000
χ6244-4-44-2-2-4224-22-22-4-21-202-1-12-222-214-41-1-110000000-33-3-333000000000-22-22000000000000000000001-1-3300000000000000000
χ6344-4-44-2-2-4224-22-22-4-21-202-1-12-222-21-441-1-1100000003-333-3-30000000002-22-200000000000000000000-11-3300000000000000000
χ6444-4-44-2-2-4224-22-22-4-21-202-1-12-222-21-441-1-110000000-33-3-3330000000002-22-200000000000000000000-113-300000000000000000
χ6544-4-4-2442-4-4-24-44-42-24-202-4-42-222-2400-222-20000000000000000000000000000004i−4i000000000000000000000000000−2i2i000000
χ6644-4-4-2442-4-4-24-44-42-24-202-4-42-222-2400-222-2000000000000000000000000000000−4i4i0000000000000000000000000002i−2i000000
χ674-44-444444-4-4-44-4-4-4444044-44-4-4-4-4-40044-4-40000000000000000000000000000000000000000000000000000000000000000000
χ684-44-444-2442-42-2-4-4-44-2-204-22-22-42-4200-2-2220000000000000000000023−2300000000000000000023−230000000000000000000000000
χ694-44-444-2442-42-2-4-4-44-2-204-22-22-42-4200-2-22200000000000000000000−2323000000000000000000−23230000000000000000000000000
χ704-44-44-244-2-4-4-4422-4-2-240-2-224-42-42200-2-2220000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ714-44-44-244-2-4-4-4422-4-2-240-2-224-42-42200-2-22200000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ724-44-4-244-24-42-44-4-42-24-20-24-4-22222-400-2-222000000000000000000−2i32i30000000000000−2i32i300000000000000000000000000000000
χ734-44-4-244-24-42-44-4-42-24-20-24-4-22222-400-2-2220000000000000000002i3−2i300000000000002i3−2i300000000000000000000000000000000
χ744-44-4-24-2-24222-2-4-42-2-210-2-221-12-1220011-1-10003i−3i00003i−3i3i−3i00000−2i32i323−2300000000000i3−i300000−330000000000000000000000000
χ754-44-4-24-2-24222-2-4-42-2-210-2-221-12-1220011-1-10003i−3i00003i−3i3i−3i000002i3−2i3−232300000000000−i3i3000003−30000000000000000000000000
χ764-44-4-24-2-24222-2-4-42-2-210-2-221-12-1220011-1-1000−3i3i0000−3i3i−3i3i00000−2i32i3−232300000000000i3−i3000003−30000000000000000000000000
χ774-44-4-24-2-24222-2-4-42-2-210-2-221-12-1220011-1-1000−3i3i0000−3i3i−3i3i000002i3−2i323−2300000000000−i3i300000−330000000000000000000000000
χ784-4-44444-4-44-4-4-4-4444440-4-44-4-444-4-4004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-4-4-2-422-4444-2-20-42-2224-2-4200-22-2200000000000000000000000000000000000000000000000000000000023−2300000000
χ804-4-4444-2-4-4-2-422-4444-2-20-42-2224-2-4200-22-22000000000000000000000000000000000000000000000000000000000−232300000000
χ814-4-444-24-424-4-4-42-24-2-24022-2-4-4-242200-22-220000000000000000000000000023−23000000000000000023−23000000000000000000000
χ824-4-444-24-424-4-4-42-24-2-24022-2-4-4-242200-22-2200000000000000000000000000−23230000000000000000−2323000000000000000000000
χ834-4-44-2442-442-4-4-44-2-24-202-4422-2-22-400-22-220000000000000000000000000000−2i32i3000000000000−2i32i300000000000000000000000
χ844-4-44-2442-442-4-4-44-2-24-202-4422-2-22-400-22-2200000000000000000000000000002i3−2i30000000000002i3−2i300000000000000000000000
χ854-4-44-2-242242-4-42-2-21-2-20-12-2221-2-12001-11-1000003i−3i003i−3i−3i3i000000000000023−23−2i32i3000000000000i3−i3−33000000000000000000000
χ864-4-44-2-242242-4-42-2-21-2-20-12-2221-2-12001-11-1000003i−3i003i−3i−3i3i0000000000000−23232i3−2i3000000000000−i3i33−3000000000000000000000
χ874-4-44-2-242242-4-42-2-21-2-20-12-2221-2-12001-11-100000−3i3i00−3i3i3i−3i000000000000023−232i3−2i3000000000000−i3i3−33000000000000000000000
χ884-4-44-2-242242-4-42-2-21-2-20-12-2221-2-12001-11-100000−3i3i00−3i3i3i−3i0000000000000−2323−2i32i3000000000000i3−i33−3000000000000000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-4222822222222200-1-1-1-1-4-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222200-1-1-1-1444-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000
χ9188-8-8-48-44-84-4-448-84-4-420444-224-2-4-4002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4844-8-48-8-4442-4-40-2444-4-242-4002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4444-4-44-4442220-2-2-2-22-2-22200-111-100000006-6-3-333000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4444-4-44-4442220-2-2-2-22-2-22200-111-10000000-6633-3-3000000000000000000000000000000000000000000000000000000
χ958-88-88-4-48-44-84-444-8-42-40-42-2-44444-20022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-48-4-4-84-884442-4-402-44-44-24-240022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-4-4-4444-4444222022-22-2-2-2-2-200-1-1110006i−6i0000−3i3i−3i3i000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4-4-4444-4444222022-22-2-2-2-2-200-1-111000−6i6i00003i−3i3i−3i000000000000000000000000000000000000000000000000000000
χ998-8-888-4-4-84-4-8444-48-42-404-2244-4-44-2002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-44-8-4444-88-4-4-42044-4-2-2-4244002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-444-44444-4-42220-2-22-2-222-2-200-11-11000006i−6i00−3i3i3i−3i000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-444-44444-4-42220-2-22-2-222-2-200-11-1100000−6i6i003i−3i−3i3i000000000000000000000000000000000000000000000000000000

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