Finite Group Databasebeta

← Group #13168508

Character table — Group #13168508

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666633346666666662244366612121212121212121212121212444466661212121212121212444466121212121212121212121212121212122444121212121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111-1-1-1-111111-1-11111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11
χ31111111111111111111111111111111-1-111111111111111111-11111111-1-11111-1-1-1-111111-1-111111-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1
χ511111111111111111111111111111-1-111111111111111111111-111-1-1-1-11111111111-1-1-1-1-11111-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-111-1-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-11
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-11111-1-111-1-1-11-1-1-1-111-1-111-1-111-1-111-1-11111-1-11-1-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-11111-1-1-1-11-1-1-111-1-1-1-111-11-11-1-11111-1-111-11-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-11111-1-11-111-1-1-1-1-1-1-1-111111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1111111-111-11-1-1-1-1-111-1-111-1-11-11111-1-111-1-1-1-11
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1111111-1-11-1-11-111111-1-111-1-1-1-11-11111-1-1-1-111-1-11
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-1-1-1-11-1-1-1111111-1-1-1-1111-111-1-1-1-1-1-111-1-1111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1111-1-11111-1-1-11-11-1-1111111-1-1-11-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-11111-1-111-1-11111-1-111-1-111-1-1111-1-1
χ17222222-12-12-1222-122-1-122-1-1-1-12-12-12200-1-1-1-1-122-1-1-1-122-1-1-1-1022222-1-10022-1-1000022-1-1-100-122-1-10000-1-1-1-1200000-1-1000000-100
χ18222222-12-12-1222-122-1-122-1-1-1-12-12-12200-1-1-1-1-122-1-1-1-122-1-1-1-102-2-222-1-100-2-2110000-2-2-1-1-1001-22-1-100001111-20000011000000100
χ19222222-12-12-1222-122-1-122-1-1-1-12-12-1-2-200-1-1-1-1-122-1-1-1-122-1-1-1-10-222-2-2110022-1-10000-2-211100-12-2110000-1-1-1-1-20000011000000100
χ20222222-12-12-1222-122-1-122-1-1-1-12-12-1-2-200-1-1-1-1-122-1-1-1-122-1-1-1-10-2-2-2-2-21100-2-211000022111001-2-21100001111200000-1-1000000-100
χ21222222-12-12-1222-122-1-1-22-1-1-1-12-12-12200-1-1-1-11-2-21111-2-211110-22-222-1-10022110000-2-2-1-1100-1-2-2110000-1-11120000011000000-100
χ22222222-12-12-1222-122-1-1-22-1-1-1-12-12-12200-1-1-1-11-2-21111-2-211110-2-2222-1-100-2-2-1-1000022-1-110012-211000011-1-1-200000-1-1000000100
χ23222222-12-12-1222-122-1-1-22-1-1-1-12-12-1-2-200-1-1-1-11-2-21111-2-21111022-2-2-21100221100002211-100-1-22-1-10000-1-111-200000-1-1000000100
χ24222222-12-12-1222-122-1-1-22-1-1-1-12-12-1-2-200-1-1-1-11-2-21111-2-2111102-22-2-21100-2-2-1-10000-2-211-100122-1-1000011-1-120000011000000-100
χ2522222-12-1222-1222-1-12-12-12-12-1-1-1-122222-1-1-1-12-1222-1-1-1-1-1-1-1-12200-1-122220000-1-10000-1-12-1200-1-1-1-1-1-1-1000002200000-1-1000000-1
χ2622222-12-1222-1222-1-12-12-12-12-1-1-1-1222-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-1-2200-1-122-2-20000110000-1-121-200-1-1-1111100000-2-200000110000001
χ2722222-12-1222-1222-1-12-12-12-12-1-1-1-12-2-222-1-1-1-12-1222-1-1-1-1-1-1-1-12-20011-2-2220000-1-1000011-2-1200111-1-1-1-100000-2-200000110000001
χ2822222-12-1222-1222-1-12-12-12-12-1-1-1-12-2-2-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-1-2-20011-2-2-2-2000011000011-21-2001111111000002200000-1-1000000-1
χ2922222-12-1222-1222-1-12-1-2-12-12-1-1-1-122222-1-1-1-1-21-2-2-211111111-2-200-1-122220000-1-10000-1-1-21-200111-1-111000002-200000-1-10000001
χ3022222-12-1222-1222-1-12-1-2-12-12-1-1-1-1222-2-2-1-1-1-1-21-2-2-2111111112-200-1-122-2-20000110000-1-1-2-120011111-1-100000-220000011000000-1
χ3122222-12-1222-1222-1-12-1-2-12-12-1-1-1-12-2-222-1-1-1-1-21-2-2-211111111-220011-2-2220000-1-100001121-200-1-1-1-1-11100000-220000011000000-1
χ3222222-12-1222-1222-1-12-1-2-12-12-1-1-1-12-2-2-2-2-1-1-1-1-21-2-2-211111111220011-2-2-2-20000110000112-1200-1-1-111-1-1000002-200000-1-10000001
χ332222-12222-122-1-122-1-122-1-12-12-12-1-10022-1-1-1-122-1-1-122-1-1-1-1-1-120220000-1-1-1-1222222000002-12-1000-1-1-1-1-1-1-1-10002-1-1000000000-10
χ342222-12222-122-1-122-1-122-1-12-12-12-1-10022-1-1-1-122-1-1-122-1-1-1-1-1-120-2-20000-1-111-2-222-2-2000002-1-21000-1-1-1-11111000-21100000000010
χ352222-12222-122-1-122-1-122-1-12-12-12-1-100-2-2-1-1-1-122-1-1-122-1-1-1-1-1-1-2022000011-1-122-2-2-2-200000-212-10001111-1-1-1-1000-21100000000010
χ362222-12222-122-1-122-1-122-1-12-12-12-1-100-2-2-1-1-1-122-1-1-122-1-1-1-1-1-1-20-2-200001111-2-2-2-22200000-21-21000111111110002-1-1000000000-10
χ372222-12222-122-1-122-1-12-2-1-12-12-12-1-10022-1-1-1-1-2-2111-2-2111111-202-20000-1-1-1-1-2-2222200000-2121000-1-111-1-111000-2-1-100000000010
χ382222-12222-122-1-122-1-12-2-1-12-12-12-1-10022-1-1-1-1-2-2111-2-2111111-20-220000-1-1112222-2-200000-21-2-1000-1-11111-1-1000211000000000-10
χ392222-12222-122-1-122-1-12-2-1-12-12-12-1-100-2-2-1-1-1-1-2-2111-2-2111111202-2000011-1-1-2-2-2-2-2-2000002-12100011-1-1-1-111000211000000000-10
χ402222-12222-122-1-122-1-12-2-1-12-12-12-1-100-2-2-1-1-1-1-2-2111-2-211111120-220000111122-2-222000002-1-2-100011-1-111-1-1000-2-1-100000000010
χ412-22-22222-2-2-2-2-222-222202-22-2-2-2-2-222-20022-2-2000000000000000002-22-2000000002i−2i002-2000000000000000000002i−2i00002i−2i00000
χ422-22-22222-2-2-2-2-222-222202-22-2-2-2-2-222-20022-2-2000000000000000002-22-200000000−2i2i002-200000000000000000000−2i2i0000−2i2i00000
χ432-22-22222-2-2-2-2-222-222202-22-2-2-2-2-22-220022-2-200000000000000000-22-22000000002i−2i00-22000000000000000000002i−2i0000−2i2i00000
χ442-22-22222-2-2-2-2-222-222202-22-2-2-2-2-22-220022-2-200000000000000000-22-2200000000−2i2i00-2200000000000000000000−2i2i00002i−2i00000
χ452-2-22222-2-222-2-2-2-222220-22-2-2-222-2-2002-22-22-20000000000000000000002-200002-2002i−2i00000000002-20000000000002i−2i00002i−2i000
χ462-2-22222-2-222-2-2-2-222220-22-2-2-222-2-2002-22-22-20000000000000000000002-200002-200−2i2i00000000002-2000000000000−2i2i0000−2i2i000
χ472-2-22222-2-222-2-2-2-222220-22-2-2-222-2-200-222-22-2000000000000000000000-220000-22002i−2i0000000000-220000000000002i−2i0000−2i2i000
χ482-2-22222-2-222-2-2-2-222220-22-2-2-222-2-200-222-22-2000000000000000000000-220000-2200−2i2i0000000000-22000000000000−2i2i00002i−2i000
χ4944444-2-2-2-24-2-244-2-2-2-214-2-21-21-21-2-244001111-2-24-2-211-2-211110400-2-2-2-200000000000011-20000-2110000000000000000000000000
χ5044444-2-2-2-24-2-244-2-2-2-214-2-21-21-21-2-2-4-4001111-2-24-2-211-2-211110-4002222000000000000-1-1200002-1-10000000000000000000000000
χ5144444-2-2-2-24-2-244-2-2-2-21-4-2-21-21-21-2-24400111122-422-1-122-1-1-1-10-400-2-2-2-200000000000011200002-1-10000000000000000000000000
χ5244444-2-2-2-24-2-244-2-2-2-21-4-2-21-21-21-2-2-4-400111122-422-1-122-1-1-1-104002222000000000000-1-1-20000-2110000000000000000000000000
χ534444-24-24-2-2-24-2-2-24-21-24-21-21-2-2-2-2100001111-24-211-2-2-2-211110044000000-2-2-2-200000000000-2-20000000111100000000000000000
χ544444-24-24-2-2-24-2-2-24-21-24-21-21-2-2-2-2100001111-24-211-2-2-2-2111100-4-4000000222200000000000220000000-1-1-1-100000000000000000
χ554444-24-24-2-2-24-2-2-24-21-2-4-21-21-2-2-2-21000011112-42-1-12222-1-1-1-1004-4000000-2-22200000000000-22000000011-1-100000000000000000
χ564444-24-24-2-2-24-2-2-24-21-2-4-21-21-2-2-2-21000011112-42-1-12222-1-1-1-100-4400000022-2-2000000000002-20000000-1-11100000000000000000
χ574444-2-24-24-24-2-2-24-21-2-241-2-2-2-21-21-2004411114-2-2-2-2-2-211111140000000-2-20000-2-20000000-2-2000001111000000000000000000000
χ584444-2-24-24-24-2-2-24-21-2-241-2-2-2-21-21-200-4-411114-2-2-2-2-2-2111111-400000002200002200000002200000-1-1-1-1000000000000000000000
χ594444-2-24-24-24-2-2-24-21-2-2-41-2-2-2-21-21-200441111-4222222-1-1-1-1-1-1-40000000-2-20000-2-20000000220000011-1-1000000000000000000000
χ604444-2-24-24-24-2-2-24-21-2-2-41-2-2-2-21-21-200-4-41111-4222222-1-1-1-1-1-140000000220000220000000-2-200000-1-111000000000000000000000
χ6144-4-4444-44-4-444-4-4-44440-4-4-444-4-44-400004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ6244-4-444-2-4-2-4244-42-44-2-20-422-2-2-42420000-222-2000000000000000000000000023−23000000000000000000000023−2300000000000000000
χ6344-4-444-2-4-2-4244-42-44-2-20-422-2-2-42420000-222-20000000000000000000000000−23230000000000000000000000−232300000000000000000
χ6444-4-44-2424-4-4-24-4-42-24-202-424-222-2-40000-222-20000000000000000000000000000000000000000000000000000000000023−230000000
χ6544-4-44-2424-4-4-24-4-42-24-202-424-222-2-40000-222-200000000000000000000000000000000000000000000000000000000000−23230000000
χ6644-4-4-244-442-44-22-4-4-2-24022-4-242-4-220000-222-20000000000000000000000023−23000000000000000000000023−230000000000000000000
χ6744-4-4-244-442-44-22-4-4-2-24022-4-242-4-220000-222-200000000000000000000000−23230000000000000000000000−23230000000000000000000
χ6844-4-4-24-2-4-2224-222-4-21-202-121-222-2-100001-1-110003-3000033-3-3000000000023−2323−2300000000000000000000−33−3300000000000000000
χ6944-4-4-24-2-4-2224-222-4-21-202-121-222-2-100001-1-110003-3000033-3-30000000000−2323−2323000000000000000000003−33−300000000000000000
χ7044-4-4-24-2-4-2224-222-4-21-202-121-222-2-100001-1-11000-330000-3-333000000000023−23−232300000000000000000000−333−300000000000000000
χ7144-4-4-24-2-4-2224-222-4-21-202-121-222-2-100001-1-11000-330000-3-3330000000000−232323−23000000000000000000003−3−3300000000000000000
χ724-44-444-242-42-4-44-2-44-2-2042-222-42-4-24-400-2-222000000000000000004-4-22000000000000-22000000000000000000000000000000000
χ734-44-444-242-42-4-44-2-44-2-2042-222-42-4-2-4400-2-22200000000000000000-442-20000000000002-2000000000000000000000000000000000
χ744-44-44-24-2-4-4-42-4442-24-20-2-4-2-4222244-400-2-22200000000000000000-224-4000000000000-22000000000000000000000000000000000
χ754-44-44-24-2-4-4-42-4442-24-20-2-4-2-422224-4400-2-222000000000000000002-2-440000000000002-2000000000000000000000000000000000
χ764-44-44-2-2-22-422-44-22-2-210-2212-12-12-24-40011-1-1000003i−3i003i−3i3i−3i0000-22-220000000000001-10000003i−3i0000000000000000000000000
χ774-44-44-2-2-22-422-44-22-2-210-2212-12-12-24-40011-1-100000−3i3i00−3i3i−3i3i0000-22-220000000000001-1000000−3i3i0000000000000000000000000
χ784-44-44-2-2-22-422-44-22-2-210-2212-12-12-2-440011-1-1000003i−3i003i−3i3i−3i00002-22-2000000000000-11000000−3i3i0000000000000000000000000
χ794-44-44-2-2-22-422-44-22-2-210-2212-12-12-2-440011-1-100000−3i3i00−3i3i−3i3i00002-22-2000000000000-110000003i−3i0000000000000000000000000
χ804-44-4-2444-42-4-42-24-4-2-240-2242-42-42-20000-2-222000000000000000000000000000004i−4i000000000000000000000000−2i2i00000000000
χ814-44-4-2444-42-4-42-24-4-2-240-2242-42-42-20000-2-22200000000000000000000000000000−4i4i0000000000000000000000002i−2i00000000000
χ824-4-4444-2-424-2-4-4-4244-2-20-4-22224-2-420000-22-2200000000000000000000000000000004i−4i000000000000000000000000−2i2i000000000
χ834-4-4444-2-424-2-4-4-4244-2-20-4-22224-2-420000-22-220000000000000000000000000000000−4i4i0000000000000000000000002i−2i000000000
χ844-4-444-242-4442-4-4-4-2-24-20242-42-2-22-4004-4-22-220000000000000000000004-40000-2200000000000000-2200000000000000000000000
χ854-4-444-242-4442-4-4-4-2-24-20242-42-2-22-400-44-22-22000000000000000000000-4400002-2000000000000002-200000000000000000000000
χ864-4-44-244-4-4-24-422-44-2-2402-2-42-4-2422004-4-22-22000000000000000000000-2200004-400000000000000-2200000000000000000000000
χ874-4-44-244-4-4-24-422-44-2-2402-2-42-4-242200-44-22-220000000000000000000002-20000-44000000000000002-200000000000000000000000
χ884-4-44-2-242-4-24222-4-21-2-20-1-22221-2-12004-41-11-100000003i−3i3i−3i−3i3i00000000-220000-22000000000000001-13i−3i000000000000000000000
χ894-4-44-2-242-4-24222-4-21-2-20-1-22221-2-12004-41-11-10000000−3i3i−3i3i3i−3i00000000-220000-22000000000000001-1−3i3i000000000000000000000
χ904-4-44-2-242-4-24222-4-21-2-20-1-22221-2-1200-441-11-100000003i−3i3i−3i−3i3i000000002-200002-200000000000000-11−3i3i000000000000000000000
χ914-4-44-2-242-4-24222-4-21-2-20-1-22221-2-1200-441-11-10000000−3i3i−3i3i3i−3i000000002-200002-200000000000000-113i−3i000000000000000000000
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
χ9488-8-88-4-44-4-84-48-844-4-42044-2-424-2-4400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-48484-8-4-44-842-4-40-244-4-4-242400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-44-444-4-44442220-2-2-222-2-22-20000-111-10006-60000-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-44-444-4-44442220-2-2-222-2-22-20000-111-1000-66000033-3-30000000000000000000000000000000000000000000000000000000
χ988-88-8-48-48444-84-4-4-8-42-40-4-2-4-244442000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-48-4-84-844-4842-4-4024-444-24-2-4000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4-444444-4-4422202-22-2-2-2-2-220000-1-111000006i−6i00−3i3i−3i3i0000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-444444-4-4422202-22-2-2-2-2-220000-1-11100000−6i6i003i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-4448-44-8-84-4-4-4204-4-24-2-424400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-84-4-4-84448-42-40424-24-4-44-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444-4-44444-42220-22-2-2-222-2-20000-11-1100000006i−6i−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444-4-44444-42220-22-2-2-222-2-20000-11-110000000−6i6i3i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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