Finite Group Databasebeta

← Group #13172911

Character table — Group #13172911

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444466888888888888888812121212121212121212121212181824242424242424242424242424242424242424243636363636363636363636363654547272108
order1222333666666666233366666666666443666666666666666224441212121212121212226666666612121212121212121212121222444666612121212446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1111111111-1-1-11111-1-1-1-11-11-1-1-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111-1-11111-1-11111-1-111-1-111-1-1-111111-1-11111-1-1-111-1-1-1-1-1-111-1-1-11-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111-1-11111111111111111-11111-1-11111-1-111-1-111-1-1111111-1-1111111-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-11111111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-11-1-1-1-1-1-111-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-111-11-1-111-1-111-1-111-11-111-1-1-1-111-1-11-11
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1111-1-1-11-1-111-1-1-1-11111-1
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-111111111-1-1-1
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111111-1-111-1-1-1-1-1-1-1-1-1-11-1111111-1-111-111-1111-1-111-1-1-1-1-111
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-111-1-1-1-111111111-11-1-1-1-1-1-111-1-1-111-1111-1-111-1-111-11-1
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-11
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-11-1-1-11-1-111-1-1-1-1-1-1111
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-1-111-1-1-1-1-1-111-1-111-1-11-111-1-111-1-11111-11-111-1-1-1-111111-1-1
χ17222222-1222-1-1-12222-12-1-1-1-122-1-1-1-12-100-122-1-122-1-1-1-1-1-1-1-1-1022220022220022002-100-1-1-1-1-1200-1-1-1-1-1-102000-1-1-1-1000000000
χ18222222-1222-1-1-12222-12-1-1-1-122-1-1-1-12-100-122-1-122-1-1-1-1-1-1-1-1-1022-2-20022-2-200-2-2002-100-1-1-111-200-1-111110-20001111000000000
χ19222222-1222-1-1-12222-12-1-1-1-122-1-1-1-12-100-122-1-122-1-1-1-1-1-1-1-1-10-2-22200-2-22200-2-200-2100111-1-120011-1-1-1-10-20001111000000000
χ20222222-1222-1-1-12222-12-1-1-1-122-1-1-1-12-100-122-1-122-1-1-1-1-1-1-1-1-10-2-2-2-200-2-2-2-2002200-210011111-20011111102000-1-1-1-1000000000
χ21222222-1222-1-1-1222-2-12-111-122-1-1-1-12-100-1-2-211-2-211-1-1-1111102-22-200-2-22200-2-2002-100-1-11-11-20011-1-11102000-1-111000000000
χ22222222-1222-1-1-1222-2-12-111-122-1-1-1-12-100-1-2-211-2-211-1-1-1111102-2-2200-2-2-2-20022002-100-1-111-12001111-1-10-200011-1-1000000000
χ23222222-1222-1-1-1222-2-12-111-122-1-1-1-12-100-1-2-211-2-211-1-1-111110-222-2002222002200-210011-1-11-200-1-1-1-1110-200011-1-1000000000
χ24222222-1222-1-1-1222-2-12-111-122-1-1-1-12-100-1-2-211-2-211-1-1-111110-22-220022-2-200-2-200-210011-11-1200-1-111-1-102000-1-111000000000
χ2522222-122-1-12222-1222-1-1222-1-1-1-122-1-122-12-122-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-10022002-1-12-1-1-1-12000-1-1-1-10000202000000-1-10000-100
χ2622222-122-1-12222-1222-1-1222-1-1-1-122-1-122-12-122-1-1-1-1-1-1-1-1-1-1-12-2-200-1-1110022002-11-2-1-111-2000-1-1110000-20-2000000110000100
χ2722222-122-1-12222-1222-1-1222-1-1-1-122-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2220011-1-100-2-200-21-1211-1-1200011-1-10000-20-2000000110000100
χ2822222-122-1-12222-1222-1-1222-1-1-1-122-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-200111100-2-200-211-21111-200011110000202000000-1-10000-100
χ2922222-122-1-12222-12-22-1-1-2-22-1-1-1-122-1-122-1-21-2-21111-1-1-11111-22-200-1-111002200-21-1211-1-1-2000-1-111000020-2000000110000-100
χ3022222-122-1-12222-12-22-1-1-2-22-1-1-1-122-1-122-1-21-2-21111-1-1-11111-2-2200-1-1-1-1002200-211-211112000-1-1-1-10000-202000000-1-10000100
χ3122222-122-1-12222-12-22-1-1-2-22-1-1-1-122-1-1-2-2-1-21-2-21111-1-1-1111122-200111100-2-2002-1-12-1-1-1-1-200011110000-202000000-1-10000100
χ3222222-122-1-12222-12-22-1-1-2-22-1-1-1-122-1-1-2-2-1-21-2-21111-1-1-111112-220011-1-100-2-2002-11-2-1-111200011-1-1000020-2000000110000-100
χ332222-122-122222-12-12-1-1222-1-1-122-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-1-1200222200-1-1-1-100-1200-1-100022-1-1-100-1-1-1-100022000000-1-1000-10
χ342222-122-122222-12-12-1-1222-1-1-122-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-1-1200-2-2220011-1-100-1200-1-1000-2-21-1-1001111000-2-20000001100010
χ352222-122-122222-12-12-1-1222-1-1-122-1-1-12-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1-20022-2-200-1-111001-2001100022-11100-1-1-1-1000-2-20000001100010
χ362222-122-122222-12-12-1-1222-1-1-122-1-1-12-2-2-1-12-1-1-1-122-1-1-1-1-1-1-1-200-2-2-2-2001111001-20011000-2-211100111100022000000-1-1000-10
χ372222-122-122222-12-1-2-1-12-2-2-1-1-122-1-1-1222-11-21111-2-2-1-1-11111-2002-22200-1-1-1-1001-200110002-21-1-100-1-1110002-2000000-1-100010
χ382222-122-122222-12-1-2-1-12-2-2-1-1-122-1-1-1222-11-21111-2-2-1-1-11111-200-22220011-1-1001-20011000-22-1-1-10011-1-1000-2200000011000-10
χ392222-122-122222-12-1-2-1-12-2-2-1-1-122-1-1-12-2-2-11-21111-2-2-1-1-111112002-2-2-200-1-11100-1200-1-10002-211100-1-111000-2200000011000-10
χ402222-122-122222-12-1-2-1-12-2-2-1-1-122-1-1-12-2-2-11-21111-2-2-1-1-11111200-22-2-200111100-1200-1-1000-22-1110011-1-10002-2000000-1-100010
χ412-2-22222-22-22-2-2-2-22022200-2-2-22-22-22-22-22000000002-2-20000000002-200002-22-20000000000002-200000000000002-200002-2000
χ422-2-22222-22-22-2-2-2-22022200-2-2-22-22-22-22-22000000002-2-20000000002-200002-2-220000000000002-20000000000000-220000-22000
χ432-2-22222-22-22-2-2-2-22022200-2-2-22-22-22-2-222000000002-2-2000000000-220000-222-2000000000000-2200000000000002-20000-22000
χ442-2-22222-22-22-2-2-2-22022200-2-2-22-22-22-2-222000000002-2-2000000000-220000-22-22000000000000-220000000000000-2200002-2000
χ4544444-2-24-2-2-2-2-24-244-2-21-2-2-2-2-211-2-2-210014-2-2-2-2-21111111110440000-2-200000000-2-20011-200000110000000000000000000000
χ4644444-2-24-2-2-2-2-24-244-2-21-2-2-2-2-211-2-2-210014-2-2-2-2-21111111110-4-4000022000000002200-1-1200000-1-10000000000000000000000
χ4744444-2-24-2-2-2-2-24-24-4-2-2122-2-2-211-2-2-21001-422222-1-1111-1-1-1-104-400002200000000-2-20011200000-1-10000000000000000000000
χ4844444-2-24-2-2-2-2-24-24-4-2-2122-2-2-211-2-2-21001-422222-1-1111-1-1-1-10-440000-2-2000000002200-1-1-200000110000000000000000000000
χ494444-24-2-244-2-2-2-24-241-2-2-2-21-2-2-2-211-2-2001-2411-2-2-2-21111111000440000-2-20000000000000-2-2-200001111000000000000000000
χ504444-24-2-244-2-2-2-24-241-2-2-2-21-2-2-2-211-2-2001-2411-2-2-2-21111111000-4-400002200000000000002220000-1-1-1-1000000000000000000
χ514444-24-2-244-2-2-2-24-2-41-2-2221-2-2-2-211-2-20012-4-1-12222111-1-1-1-10004-40000-2-20000000000000-222000011-1-1000000000000000000
χ524444-24-2-244-2-2-2-24-2-41-2-2221-2-2-2-211-2-20012-4-1-12222111-1-1-1-1000-4400002200000000000002-2-20000-1-111000000000000000000
χ534444-2-24-2-2-2444-2-2-24-21-244-211-2-2-2-21-2441-2-2-2-211-2-2111111140000-2-20000-2-200-2-2001100000011000000000000000000000000
χ544444-2-24-2-2-2444-2-2-24-21-244-211-2-2-2-21-2-4-41-2-2-2-211-2-21111111-4000022000022002200-1-1000000-1-1000000000000000000000000
χ554444-2-24-2-2-2444-2-2-2-4-21-2-4-4-211-2-2-2-21-24412222-1-122111-1-1-1-1-40000-2-20000-2-2002200-1-100000011000000000000000000000000
χ564444-2-24-2-2-2444-2-2-2-4-21-2-4-4-211-2-2-2-21-2-4-412222-1-122111-1-1-1-1400002200002200-2-20011000000-1-1000000000000000000000000
χ5744-4-44444-4-4-44-4-44-4044400-44-4-44-44-4-400400000000-44-4000000000000000000000000000000000000000000000000000000000
χ5844-4-444-24-4-42-22-44-40-24-20024-42-22-2-4200-2000000002-2200000000000000000000000000000000000000000000−2i32i300000000000
χ5944-4-444-24-4-42-22-44-40-24-20024-42-22-2-4200-2000000002-22000000000000000000000000000000000000000000002i3−2i300000000000
χ6044-4-44-24422-44-4-4-2-404-2-200-4-222-2-442200-2000000002-22000000000000000000000000000000000000000000000000−2i32i30000000
χ6144-4-44-24422-44-4-4-2-404-2-200-4-222-2-442200-2000000002-220000000000000000000000000000000000000000000000002i3−2i30000000
χ6244-4-4-244-2-4-4-44-42420-2-24002-22-442-22-400-2000000002-220000000000000000000000000000000000000000000000000023−2300000
χ6344-4-4-244-2-4-4-44-42420-2-24002-22-442-22-400-2000000002-2200000000000000000000000000000000000000000000000000−232300000
χ644-44-4444-4-44-4-444-4-40444004-44-4-4-4-4-4400400000000-4-44000000000000000000000000000000000000000000000000000000000
χ654-44-444-2-4-4422-24-4-40-24-2−2i32i3-2-442222-4-200-200−2i32i300−2i32i322-2−2i3−2i32i32i300000000000000000000000000000000000000000000000000000
χ664-44-444-2-4-4422-24-4-40-24-22i3−2i3-2-442222-4-200-2002i3−2i3002i3−2i322-22i32i3−2i3−2i300000000000000000000000000000000000000000000000000000
χ674-44-44-24-42-2-4-4442-404-2-20042-222-4-42-200-20000000022-200000000000−2i32i300000000000000000000−2i32i30000000000000000000000
χ684-44-44-24-42-2-4-4442-404-2-20042-222-4-42-200-20000000022-2000000000002i3−2i3000000000000000000002i3−2i30000000000000000000000
χ694-44-44-2-2-42-222-242-40-2-21−2i32i3-22-2-1-1222100100−2i32i300i3−i3-1-11i3i3−i3−i30000000−2i32i30000000000003-3000000i3−i30000000000000000000000
χ704-44-44-2-2-42-222-242-40-2-21−2i32i3-22-2-1-1222100100−2i32i300i3−i3-1-11i3i3−i3−i300000002i3−2i3000000000000-33000000−i3i30000000000000000000000
χ714-44-44-2-2-42-222-242-40-2-212i3−2i3-22-2-1-12221001002i3−2i300−i3i3-1-11−i3−i3i3i30000000−2i32i3000000000000-33000000i3−i30000000000000000000000
χ724-44-44-2-2-42-222-242-40-2-212i3−2i3-22-2-1-12221001002i3−2i300−i3i3-1-11−i3−i3i3i300000002i3−2i30000000000003-3000000−i3i30000000000000000000000
χ734-44-4-2442-44-4-44-2-420-2-2400-22-2-4-4222400-20000000022-2000000000000023−230000000000000000000023−2300000000000000000000
χ744-44-4-2442-44-4-44-2-420-2-2400-22-2-4-4222400-20000000022-20000000000000−232300000000000000000000−232300000000000000000000
χ754-44-4-24-22-4422-2-2-4201-2-2−2i32i312-222-1-12-200100i3−i300−2i32i3-1-11i3i3−i3−i300000000023−2300000000000000000000−333i−3i000000000000000000
χ764-44-4-24-22-4422-2-2-4201-2-2−2i32i312-222-1-12-200100i3−i300−2i32i3-1-11i3i3−i3−i3000000000−2323000000000000000000003−3−3i3i000000000000000000
χ774-44-4-24-22-4422-2-2-4201-2-22i3−2i312-222-1-12-200100−i3i3002i3−2i3-1-11−i3−i3i3i300000000023−2300000000000000000000−33−3i3i000000000000000000
χ784-44-4-24-22-4422-2-2-4201-2-22i3−2i312-222-1-12-200100−i3i3002i3−2i3-1-11−i3−i3i3i3000000000−2323000000000000000000003−33i−3i000000000000000000
χ794-4-4444-2-44-4-222-4-440-24-2002-4-4-22-224200-200000000-222000000000000000004-4000000000000000000000000000-22000000000
χ804-4-4444-2-44-4-222-4-440-24-2002-4-4-22-224200-200000000-22200000000000000000-440000000000000000000000000002-2000000000
χ814-4-444-24-4-224-4-4-42404-2-200-422-224-4-224-4-200000000-222000000000-2200004-400000000000000-22000000000000000000000000
χ824-4-444-24-4-224-4-4-42404-2-200-422-224-4-22-44-200000000-2220000000002-20000-44000000000000002-2000000000000000000000000
χ834-4-44-24424-44-4-42-4-20-2-24002224-4-22-2-44-4-200000000-2220000000004-40000-2200000000000000-22000000000000000000000000
χ844-4-44-24424-44-4-42-4-20-2-24002224-4-22-2-4-44-200000000-222000000000-4400002-2000000000000002-2000000000000000000000000
χ854-4-44-2-242-224-4-422-20-21-2002-1-1-22-22124-4100003-3001-1-13-33-300000-220000-220000003-30000001-1000000000000000000000000
χ864-4-44-2-242-224-4-422-20-21-2002-1-1-22-22124-410000-33001-1-1-33-3300000-220000-22000000-330000001-1000000000000000000000000
χ874-4-44-2-242-224-4-422-20-21-2002-1-1-22-2212-44100003-3001-1-13-33-3000002-200002-2000000-33000000-11000000000000000000000000
χ884-4-44-2-242-224-4-422-20-21-2002-1-1-22-2212-4410000-33001-1-1-33-33000002-200002-20000003-3000000-11000000000000000000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-48222-4-422222222200-1-4-4222222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4-82224422222222200-144-2-2-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000
χ9188-8-88-4-48444-44-8-4-80-4-42004-44-224-44-200200000000-22-2000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-4-4-8-84-4448402-4-400-2-444-4-224400200000000-22-2000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-48-444-88-84-440-42-40042-24-44-4-2400200000000-22-2000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-4444-444-44022200-22-2-22-22-2-200-1000000001-11−3i33i33i3−3i300000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-4-4444-444-44022200-22-2-22-22-2-200-1000000001-113i3−3i3−3i33i300000000000000000000000000000000000000000000000000000
χ968-88-8-4-4844-4-8-88-4440-42-400-4-224444-2-400200000000-2-22000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-444-444-4-4440222−4i34i32-22-2-2-2-2-2200-1002i3−2i3002i3−2i311-1−i3−i3i3i300000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-444-444-4-44402224i3−4i32-22-2-2-2-2-2200-100−2i32i300−2i32i311-1i3i3−i3−i300000000000000000000000000000000000000000000000000000
χ998-8-888-4-4-8-44-444-8480-4-42004442-2-44-4-2002000000002-2-2000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-448-8-4444-8-402-4-400-244-442-2-44002000000002-2-2000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44-44-44444-4022200-2-2-22-22-22-200-100006-600-111-33-3300000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44-44-44444-4022200-2-2-22-22-22-200-10000-6600-1113-33-300000000000000000000000000000000000000000000000000000

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