Finite Group Databasebeta

← Group #13168532

Character table — Group #13168532

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666333466666666644443666121212121212121212121212122244666612121212121212124444666666121212121212121212121212224412121212121244446612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-11
χ31111111111111111111111111111111-1-111111111111111111111-1111111-1-111-1-111-1-11111111-11-111-1-111-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-1-11-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-1-11-1-1-1-111-1-11111-11-1
χ511111111111111111111111111111-1-1111111111111111111111-111111-1-111-1-111-1-111111111-11-11-1-111-1-111-11-1-1-1-111-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1-1-111-1-1-1-111111-1-1
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111111111-1-11-111-1-1-1-1-1-11111-1-1-1-1-111-111-1-11111-1-1-11-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-111-11-1-111-1-1-1-11111-1-1-1-11-11-1-1-11111-1-1111-1-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-111111-111-1-1-11-1111-1-1-1-111-1-1-111111-1-1-1-111-1-11
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-1-1-1-11-1-111-11-1111-1-1-1-11111-11-1-1-1-1-1-111-1-1111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-111-1-1-1-11-111-1-11-11-1-1-11111-1-111-11-1-1-1-1-1-1-1-111111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1111111-11-1-1111-11-1-1-11111-1-1-1-1-111111-1-111-1-1-1-11
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-111111-11-1-1-1111111-1-11-1-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-1-11-1-1111111-1-1-1-11111-111-111-1-111-1-111-11-1
χ17222222-12-1222-12-122-1-122-1-1-1-12-12-10022-1-1-1-12-12-1-122-1-1-1-1-1-1220222-1-1002200-1-10022-12-1-1-1-10-10200-1-100-1-1020000-1-10000000-10
χ18222222-12-1222-12-122-1-122-1-1-1-12-12-10022-1-1-1-12-12-1-122-1-1-1-1-1-1-2-202-2-211002200-1-100-2-21-211110-10200-1-100-1-10-2000011000000010
χ19222222-12-1222-12-122-1-122-1-1-1-12-12-100-2-2-1-1-1-12-12-1-122-1-1-1-1-1-1220-222-1-100-2-2001100-2-2-12-1-1-1-1010-2001100110-2000011000000010
χ20222222-12-1222-12-122-1-122-1-1-1-12-12-100-2-2-1-1-1-12-12-1-122-1-1-1-1-1-1-2-20-2-2-21100-2-2001100221-21111010-200110011020000-1-10000000-10
χ21222222-12-1222-12-122-1-1-22-1-1-1-12-12-10022-1-1-1-1-21-211-2-21111112-20-22211002200-1-100-2-2-1-2-1-111010-200-1-10011020000110000000-10
χ22222222-12-1222-12-122-1-1-22-1-1-1-12-12-10022-1-1-1-1-21-211-2-2111111-220-2-2-2-1-1002200-1-100221211-1-1010-200-1-100110-20000-1-1000000010
χ23222222-12-1222-12-122-1-1-22-1-1-1-12-12-100-2-2-1-1-1-1-21-211-2-21111112-202221100-2-200110022-1-2-1-1110-102001100-1-10-20000-1-1000000010
χ24222222-12-1222-12-122-1-1-22-1-1-1-12-12-100-2-2-1-1-1-1-21-211-2-2111111-2202-2-2-1-100-2-2001100-2-21211-1-10-102001100-1-1020000110000000-10
χ2522222-12-1222-12-122-12-12-12-1-1-1-12-122200-1-1-1-1-122-1-1-1-122-1-1-1-12220-1-1222200-1-10022002-1-1-1-1-1-1020-1-100-1-1002000-1-100000000-100
χ2622222-12-1222-12-122-12-12-12-1-1-1-12-122200-1-1-1-1-122-1-1-1-122-1-1-1-1-2-22011-2-22200-1-100-2-200-211111-1020-1-100-1-100-20001100000000100
χ2722222-12-1222-12-122-12-12-12-1-1-1-12-12-2-200-1-1-1-1-122-1-1-1-122-1-1-1-122-20-1-122-2-2001100-2-2002-1-1-1-1-110-2011001100-20001100000000100
χ2822222-12-1222-12-122-12-12-12-1-1-1-12-12-2-200-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2011-2-2-2-20011002200-21111110-20110011002000-1-100000000-100
χ2922222-12-1222-12-122-12-1-2-12-1-1-1-12-122200-1-1-1-11-2-21111-2-211112-2-20-1-1-2-22200-1-100220021-1-11110-20-1-1001100-2000-1-100000000100
χ3022222-12-1222-12-122-12-1-2-12-1-1-1-12-122200-1-1-1-11-2-21111-2-21111-22-2011222200-1-100-2-200-2-111-1-110-20-1-100110020001100000000-100
χ3122222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-200-1-1-1-11-2-21111-2-211112-220-1-1-2-2-2-2001100-2-20021-1-111-10201100-1-10020001100000000-100
χ3222222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-200-1-1-1-11-2-21111-2-21111-22201122-2-20011002200-2-111-1-1-10201100-1-100-2000-1-100000000100
χ332222-12222-1-12222-1-1-122-1-1222-1-1-1-12222-1-1-1-122-122-1-1-1-1-1-1-1-100220000-1-1-1-12222000000000022-1-1-1-1-1-1-1-1-1-100220000-1-1000000-1
χ342222-12222-1-12222-1-1-122-1-1222-1-1-1-122-2-2-1-1-1-122-122-1-1-1-1-1-1-1-1002-20000-1-11122-2-200000000002-2-11-1-111-1-11100-2-20000110000001
χ352222-12222-1-12222-1-1-122-1-1222-1-1-1-1-2-222-1-1-1-122-122-1-1-1-1-1-1-1-100-22000011-1-1-2-2220000000000-221-111-1-111-1-100-2-20000110000001
χ362222-12222-1-12222-1-1-122-1-1222-1-1-1-1-2-2-2-2-1-1-1-122-122-1-1-1-1-1-1-1-100-2-200001111-2-2-2-20000000000-2-2111111111100220000-1-1000000-1
χ372222-12222-1-12222-1-1-12-2-1-1222-1-1-1-12222-1-1-1-1-2-21-2-21111111100-2-20000-1-1-1-122220000000000-2-211-1-1-1-11111002-20000-1-10000001
χ382222-12222-1-12222-1-1-12-2-1-1222-1-1-1-122-2-2-1-1-1-1-2-21-2-21111111100-220000-1-11122-2-20000000000-221-1-1-11111-1-100-22000011000000-1
χ392222-12222-1-12222-1-1-12-2-1-1222-1-1-1-1-2-222-1-1-1-1-2-21-2-211111111002-2000011-1-1-2-22200000000002-2-1111-1-1-1-11100-22000011000000-1
χ402222-12222-1-12222-1-1-12-2-1-1222-1-1-1-1-2-2-2-2-1-1-1-1-2-21-2-211111111002200001111-2-2-2-2000000000022-1-11111-1-1-1-1002-20000-1-10000001
χ412-22-22222-22-2-2-2-22-222202-22-2-2-22-2-2002-222-2-2000000000000000000000002-2002-22i−2i000000000000002-2000000002i−2i00002i−2i00000
χ422-22-22222-22-2-2-2-22-222202-22-2-2-22-2-2002-222-2-2000000000000000000000002-2002-2−2i2i000000000000002-200000000−2i2i0000−2i2i00000
χ432-22-22222-22-2-2-2-22-222202-22-2-2-22-2-200-2222-2-200000000000000000000000-2200-222i−2i00000000000000-22000000002i−2i0000−2i2i00000
χ442-22-22222-22-2-2-2-22-222202-22-2-2-22-2-200-2222-2-200000000000000000000000-2200-22−2i2i00000000000000-2200000000−2i2i00002i−2i00000
χ452-2-22222-22-22-2-22-2-22220-22-22-22-2-2-22-2002-22-20000000000000000000002-2002-200002i−2i00000000002-20000000000002i−2i00002i−2i000
χ462-2-22222-22-22-2-22-2-22220-22-22-22-2-2-22-2002-22-20000000000000000000002-2002-20000−2i2i00000000002-2000000000000−2i2i0000−2i2i000
χ472-2-22222-22-22-2-22-2-22220-22-22-22-2-2-2-22002-22-2000000000000000000000-2200-2200002i−2i0000000000-220000000000002i−2i0000−2i2i000
χ482-2-22222-22-22-2-22-2-22220-22-22-22-2-2-2-22002-22-2000000000000000000000-2200-220000−2i2i0000000000-22000000000000−2i2i00002i−2i000
χ4944444-2-2-2-244-2-2-2-24-2-214-2-2111-2-2-2-200001111-2-2411-2-2-2-211114400-2-2-2-2000000000000-2-2111100000000000000000000000000000
χ5044444-2-2-2-244-2-2-2-24-2-214-2-2111-2-2-2-200001111-2-2411-2-2-2-21111-4-400222200000000000022-1-1-1-100000000000000000000000000000
χ5144444-2-2-2-244-2-2-2-24-2-21-4-2-2111-2-2-2-20000111122-4-1-12222-1-1-1-14-400-2-222000000000000-2211-1-100000000000000000000000000000
χ5244444-2-2-2-244-2-2-2-24-2-21-4-2-2111-2-2-2-20000111122-4-1-12222-1-1-1-1-440022-2-20000000000002-2-1-11100000000000000000000000000000
χ534444-24-24-2-2-24-24-2-2-21-24-21-2-2-2-21-21004411114-2-2-2-2-2-21111110004000000-2-200-2-200000000000-20-20011001100000000000000000
χ544444-24-24-2-2-24-24-2-2-21-24-21-2-2-2-21-2100-4-411114-2-2-2-2-2-2111111000-40000002200220000000000020200-1-100-1-100000000000000000
χ554444-24-24-2-2-24-24-2-2-21-2-4-21-2-2-2-21-2100441111-4222222-1-1-1-1-1-1000-4000000-2-200-2-200000000000202001100-1-100000000000000000
χ564444-24-24-2-2-24-24-2-2-21-2-4-21-2-2-2-21-2100-4-41111-4222222-1-1-1-1-1-1000400000022002200000000000-20-200-1-1001100000000000000000
χ574444-2-24-24-2-2-24-24-21-2-241-2-2-2-21-21-244001111-24-2-2-211-2-2111100400000-2-200-2-2000000000000-20-201100110000000000000000000
χ584444-2-24-24-2-2-24-24-21-2-241-2-2-2-21-21-2-4-4001111-24-2-2-211-2-2111100-4000002200220000000000002020-1-100-1-10000000000000000000
χ594444-2-24-24-2-2-24-24-21-2-2-41-2-2-2-21-21-2440011112-4222-1-122-1-1-1-100-400000-2-200-2-200000000000020201100-1-10000000000000000000
χ604444-2-24-24-2-2-24-24-21-2-2-41-2-2-2-21-21-2-4-40011112-4222-1-122-1-1-1-100400000220022000000000000-20-20-1-100110000000000000000000
χ6144-4-4444-4-4-4-444-4-444440-4-4-4-44-4-44400004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ6244-4-444-2-42-4-44-2-4244-2-20-4222-2-424-20000-222-20000000000000000000−2i32i30000000000000000−2i32i300000000000000000000000000000
χ6344-4-444-2-42-4-44-2-4244-2-20-4222-2-424-20000-222-200000000000000000002i3−2i300000000000000002i3−2i300000000000000000000000000000
χ6444-4-44-242-4-4-4-242-44-24-202-422-22-4-240000-222-200000000000000000−2i32i30000000000000000−2i32i30000000000000000000000000000000
χ6544-4-44-242-4-4-4-242-44-24-202-422-22-4-240000-222-2000000000000000002i3−2i300000000000000002i3−2i30000000000000000000000000000000
χ6644-4-44-2-222-4-4-2-2224-2-21022-1-1122-2-200001-1-110003-3000033-3-30000−2i32i3−2i32i300000000000000i3−i3i3−i300000000000000000000000000000
χ6744-4-44-2-222-4-4-2-2224-2-21022-1-1122-2-200001-1-110003-3000033-3-300002i3−2i32i3−2i300000000000000−i3i3−i3i300000000000000000000000000000
χ6844-4-44-2-222-4-4-2-2224-2-21022-1-1122-2-200001-1-11000-330000-3-3330000−2i32i32i3−2i300000000000000i3−i3−i3i300000000000000000000000000000
χ6944-4-44-2-222-4-4-2-2224-2-21022-1-1122-2-200001-1-11000-330000-3-33300002i3−2i3−2i32i300000000000000−i3i3i3−i300000000000000000000000000000
χ7044-4-4-244-4-42244-4-4-2-2-24022-4-4422-2-20000-222-200000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ7144-4-4-244-4-42244-4-4-2-2-24022-4-4422-2-20000-222-2000000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ724-44-444-2424-4-42-4-2-44-2-2042-222-4-2-42004-4-2-222000000000000000000000004-400-220000000000000000-22000000000000000000000
χ734-44-444-2424-4-42-4-2-44-2-2042-222-4-2-4200-44-2-22200000000000000000000000-44002-200000000000000002-2000000000000000000000
χ744-44-44-24-2-44-42-424-4-24-20-2-4-222242-40000-2-222000000000000000000000000000004i−4i000000000000000000000000−2i2i00000000000
χ754-44-44-24-2-44-42-424-4-24-20-2-4-222242-40000-2-22200000000000000000000000000000−4i4i0000000000000000000000002i−2i00000000000
χ764-44-4-2444-4-22-4-4-442-2-240-224-4-42-222004-4-2-22200000000000000000000000-22004-40000000000000000-22000000000000000000000
χ774-44-4-2444-4-22-4-4-442-2-240-224-4-42-22200-44-2-222000000000000000000000002-200-4400000000000000002-2000000000000000000000
χ784-44-4-24-242-22-42-4-22-21-20-2-1-222212-1004-411-1-100000003i−3i3i−3i3i−3i0000000000-2200-2200000000000000001-1003i−3i00000000000000000
χ794-44-4-24-242-22-42-4-22-21-20-2-1-222212-1004-411-1-10000000−3i3i−3i3i−3i3i0000000000-2200-2200000000000000001-100−3i3i00000000000000000
χ804-44-4-24-242-22-42-4-22-21-20-2-1-222212-100-4411-1-100000003i−3i3i−3i3i−3i00000000002-2002-20000000000000000-1100−3i3i00000000000000000
χ814-44-4-24-242-22-42-4-22-21-20-2-1-222212-100-4411-1-10000000−3i3i−3i3i−3i3i00000000002-2002-20000000000000000-11003i−3i00000000000000000
χ824-4-4444-2-4-2-44-4242-44-2-20-4-22-2242-420000-22-2200000000000000000000000000000004i−4i000000000000000000000000−2i2i000000000
χ834-4-4444-2-4-2-44-4242-44-2-20-4-22-2242-420000-22-220000000000000000000000000000000−4i4i0000000000000000000000002i−2i000000000
χ844-4-444-2424-442-4-2-4-4-24-20242-22-2-42-44-400-22-220000000000000000000004-400-220000000000000000-2200000000000000000000000
χ854-4-444-2424-442-4-2-4-4-24-20242-22-2-42-4-4400-22-22000000000000000000000-44002-200000000000000002-200000000000000000000000
χ864-4-44-244-442-2-4-44-42-2-2402-2-44-4-22224-400-22-22000000000000000000000-22004-40000000000000000-2200000000000000000000000
χ874-4-44-244-442-2-4-44-42-2-2402-2-44-4-2222-4400-22-220000000000000000000002-200-4400000000000000002-200000000000000000000000
χ884-4-44-2-24242-22-4-2-421-2-20-1-22-2212-124-4001-11-1000003i−3i003i−3i−3i3i00000000-2200-2200000000000000001-1003i−3i0000000000000000000
χ894-4-44-2-24242-22-4-2-421-2-20-1-22-2212-124-4001-11-100000−3i3i00−3i3i3i−3i00000000-2200-2200000000000000001-100−3i3i0000000000000000000
χ904-4-44-2-24242-22-4-2-421-2-20-1-22-2212-12-44001-11-1000003i−3i003i−3i−3i3i000000002-2002-20000000000000000-1100−3i3i0000000000000000000
χ914-4-44-2-24242-22-4-2-421-2-20-1-22-2212-12-44001-11-100000−3i3i00−3i3i3i−3i000000002-2002-20000000000000000-11003i−3i0000000000000000000
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
χ9488-8-8-48-4-84448-4-84-4-42-404-244-44-2-4200002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-484-844-484-8-42-4-40-2444-4-242-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-44444-4-444-42220-2-2-2-22-2-2220000-111-10006-60000-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-44444-4-444-42220-2-2-2-22-2-2220000-111-1000-66000033-3-30000000000000000000000000000000000000000000000000000000
χ988-88-88-4-4-448-8444-4-8-4-420-442-2-24-444000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-48-4-8-444-84842-4-4024-444-2-4-24000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4-44-44444-4422202-22-2-2-22-2-20000-1-11100000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-44-44444-4422202-22-2-2-22-2-20000-1-1110000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-44-4-8844-44-8-4-4204-4-22-2-444400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-8-44-4-84844-42-40424-44-4-24-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44-444-4442220-22-22-22-2-2-20000-11-11000006i−6i00−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44-444-4442220-22-22-22-2-2-20000-11-1100000−6i6i003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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