Finite Group Databasebeta

← Group #13172866

Character table — Group #13172866

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444444444444466888888888888812121212121212121212121212121212121212121212121212181824242424242424242424242424243636363636363654547272727272108
order122233366666666623336666666666666666622366666666666622444666666666666666666121244666121212121212121212121222444121244661212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-11-111-1-1-1-1-1-11-11-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111-1-1111111-1-111111111111111-1-1-1-1-1-111-11-1-111111-1-11-1-1-1-1-1-11-1-11-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-11
χ51111111111111111111111111111111111111-1-11111111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-11-1-1-111-1-11-1-1-1-1-1
χ61111111111111111111111111111111111111-1-11111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-11-1-11-1-1-111-11-1-111
χ71111111111111111111111111111111111111-1-11111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-11111-1-11-11-1-111-1-111-11
χ81111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1
χ91111111111111111-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-11-11-111-1-11111-1-11111-1-1-1-1-1-1-1-1111-11-1-11-1-111-1-1-11-111-1-1-1-11-11-111
χ101111111111111111-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-11-1-1111-1-11111-1-11111-1-1-1-11111111-1-11-1-1-1-1-1-1111-1-1-111111-111-1-1-1
χ111111111111111111-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-111-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-1111111-1-1-1-111-11111-1-1-111-1
χ121111111111111111-1111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-11-111-111-1-111111-1-1-1-1-1-111-11-11
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-111-11-1-1-11111-1-111-1-1-1-11111-1-1-1-1111-11-1-11-1-111-1-1111-1-1-1-11111-11-1-1
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-111-1-11-1-11111-1-111-1-1-1-111111111111-1-11-1-1-1-1-1-111-1-111-111-1-1-1-1-1111
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-11-111-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-111-1111111-1-11-1-1-1111-1-1-111-1-11
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111-1-1-1-11-11-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-111-111-1-111-11-111-1-1111-11-11-1
χ17222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-1222-12-1-122-1-1-1-1-1-1-120022222200-1-1-1-1-1-1-1-1-1-1-1-122000000-1-10200-1-1-1-12002000000-100-10
χ18222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-1222-12-1-122-1-1-1-1-1-1-1200-2-2222200-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000110-2001111-200-200000010010
χ19222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-12-2-2-12-1-122-1-1-1-1-1-1-1-20022-2-2-2-20011111111111122000000-1-10200-1-1-1-1-200-200000010010
χ20222222-122-1-1222-122-12-122-1-1-122-1-1-1-1-1-1-1-1-12-2-2-12-1-122-1-1-1-1-1-1-1-200-2-2-2-2-2-200111111111111-2-2000000110-20011112002000000-100-10
χ21222222-122-1-1222-12-2-12-1-2-211-122-1-1-11111-1-1222-1-211-2-2-1-1-11111-2002-222-2-200-1-111-1-1-1-11111-2-2000000-110200-1-111-2002000000100-10
χ22222222-122-1-1222-12-2-12-1-2-211-122-1-1-11111-1-1222-1-211-2-2-1-1-11111-200-2222-2-200-1-111-1-1-1-11111220000001-10-20011-1-1200-2000000-10010
χ23222222-122-1-1222-12-2-12-1-2-211-122-1-1-11111-1-12-2-2-1-211-2-2-1-1-111112002-2-2-2220011-1-11111-1-1-1-1-2-2000000-110200-1-111200-2000000-10010
χ24222222-122-1-1222-12-2-12-1-2-211-122-1-1-11111-1-12-2-2-1-211-2-2-1-1-11111200-22-2-2220011-1-11111-1-1-1-1220000001-10-20011-1-1-2002000000100-10
χ2522222-12-1222-1222-12-1-122222-1-1-12222222-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1022220000-1-1000000000000-1-1222-1-1222-1-1-1-1-1-1-1-102000-1-100-100000
χ2622222-12-1222-1222-12-1-122222-1-1-12222222-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-1022-2-20000-1-100000000000011-2-22-1-12-2-2-11-1-111110-20001100100000
χ2722222-12-1222-1222-12-1-122222-1-1-12222222-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-10-2-222000011000000000000-1-1-2-2-211-2221-111-1-1-1-10-20001100100000
χ2822222-12-1222-1222-12-1-122222-1-1-12222222-1-1-100-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-20000110000000000001122-211-2-2-21111111102000-1-100-100000
χ2922222-12-1222-1222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-111111-1-1-1111102-22-20000-1-100000000000011-2-22-1-1-22-21-111-1-111020001100-100000
χ3022222-12-1222-1222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-111111-1-1-1111102-2-220000-1-1000000000000-1-1222-1-1-2-22111111-1-10-2000-1-100100000
χ3122222-12-1222-1222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-111111-1-1-111110-222-20000110000000000001122-21122-2-1-1-1-1-1-1110-2000-1-100100000
χ3222222-12-1222-1222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-100-111111-1-1-111110-22-22000011000000000000-1-1-2-2-2112-22-11-1-111-1-1020001100-100000
χ332222-1222-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-122-1222-1-1-1-1-1-1-1-1-122200-1-1-1-1222222-1-1-1-1-1-1-1-10000-1-1-1-10020-1-1000000202000000-1-100
χ342222-1222-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-122-1222-1-1-1-1-1-1-1-1-12-2-200-1-1-1-1-2-22222-1-1-1-1-1-1-1-10000111100-2011000000-20-20000001100
χ352222-1222-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-22200111122-2-2-2-2111111110000-1-1-1-10020-1-1000000-20-20000001100
χ362222-1222-1222-1-12222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-2-2-1222-1-1-1-1-1-1-1-1-1-2-2-2001111-2-2-2-2-2-2111111110000111100-2011000000202000000-1-100
χ372222-1222-1222-1-122-22-1-111-2-22-1-1-1-1-1111122-122-1-2-2-211-1-1-11111-22-200-1-1112222-2-2-1-1-1-111110000-1-1-1100-2011000000-202000000-1100
χ382222-1222-1222-1-122-22-1-111-2-22-1-1-1-1-1111122-122-1-2-2-211-1-1-11111-2-2200-1-111-2-222-2-2-1-1-1-111110000111-10020-1-100000020-20000001-100
χ392222-1222-1222-1-122-22-1-111-2-22-1-1-1-1-1111122-1-2-2-1-2-2-211-1-1-1111122-20011-1-122-2-2221111-1-1-1-10000-1-1-1100-201100000020-20000001-100
χ402222-1222-1222-1-122-22-1-111-2-22-1-1-1-1-1111122-1-2-2-1-2-2-211-1-1-111112-220011-1-1-2-2-2-2221111-1-1-1-10000111-10020-1-1000000-202000000-1100
χ412-2-22222-2-22-2-22-2-2202220000-22-22-2-200002-2-22-22000002-2-20000000002-200002-20022-2-20000002-200000000000000000002-22-2000000
χ422-2-22222-2-22-2-22-2-2202220000-22-22-2-200002-2-22-22000002-2-20000000002-200002-20022-2-2000000-220000000000000000000-22-22000000
χ432-2-22222-2-22-2-22-2-2202220000-22-22-2-200002-2-2-222000002-2-2000000000-220000-2200-2-2220000002-200000000000000000002-2-22000000
χ442-2-22222-2-22-2-22-2-2202220000-22-22-2-200002-2-2-222000002-2-2000000000-220000-2200-2-222000000-220000000000000000000-222-2000000
χ4544444-2-2-24-2-2-244-2-241-2-244-2-21-2-2-2-2-2-2-2-2-211-2001-211-2-2111111100044000000000000000000-2-2000000-2-20-2001111000000000000000
χ4644444-2-2-24-2-2-244-2-241-2-244-2-21-2-2-2-2-2-2-2-2-211-2001-211-2-21111111000-4-400000000000000000022000000220200-1-1-1-1000000000000000
χ4744444-2-2-24-2-2-244-2-2-41-2-2-4-4221-2-2-2-2-2222211-20012-1-122111-1-1-1-10004-400000000000000000022000000-220-20011-1-1000000000000000
χ4844444-2-2-24-2-2-244-2-2-41-2-2-4-4221-2-2-2-2-2222211-20012-1-122111-1-1-1-1000-44000000000000000000-2-20000002-20200-1-111000000000000000
χ494444-24-24-2-2-24-2-2-244-2-21-2-2-2-2-2-2-21111111-2-2-24414-2-2-2-2111111140000-2-2-2-200-2-2-2-211111111000000000000000000000000000000000
χ504444-24-24-2-2-24-2-2-244-2-21-2-2-2-2-2-2-21111111-2-2-2-4-414-2-2-2-21111111-400002222002222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ514444-24-24-2-2-24-2-2-24-4-2-212222-2-2-2111-1-1-1-1-2-2-2441-42222111-1-1-1-1-40000-2-22200-2-2221111-1-1-1-1000000000000000000000000000000000
χ524444-24-24-2-2-24-2-2-24-4-2-212222-2-2-2111-1-1-1-1-2-2-2-4-41-42222111-1-1-1-14000022-2-20022-2-2-1-1-1-11111000000000000000000000000000000000
χ534444-2-24-2-244-2-2-24-24-21-2-2-244-211-2-2-2-2-2-2-2-2-21001-2-2-2111111111044000000-2-20000000000000000-211-200-20110000000000000000000
χ544444-2-24-2-244-2-2-24-24-21-2-2-244-211-2-2-2-2-2-2-2-2-21001-2-2-21111111110-4-40000002200000000000000002-1-120020-1-10000000000000000000
χ554444-2-24-2-244-2-2-24-2-4-21-222-4-4-211-2-2-22222-2-21001222-1-1111-1-1-1-104-4000000-2-20000000000000000-21120020-1-10000000000000000000
χ564444-2-24-2-244-2-2-24-2-4-21-222-4-4-211-2-2-22222-2-21001222-1-1111-1-1-1-10-440000002200000000000000002-1-1-200-20110000000000000000000
χ5744-4-4444-44-444-4-4-4-404440000-4-4-4-44-40000-44400400000-44-4000000000000000000000000000000000000000000000000000000000000
χ5844-4-444-2-442-24-4-42-40-24-200002-4-42-2200002-2400-2000002-2200000000000000000−2i32i30000−2i3−2i32i32i3000000000000000000000000000000000
χ5944-4-444-2-442-24-4-42-40-24-200002-4-42-2200002-2400-2000002-22000000000000000002i3−2i300002i32i3−2i3−2i3000000000000000000000000000000000
χ6044-4-44-2424-44-2-4-4-420-2-240000222-44-400002-2-200-2000002-220000000000000−2i32i300000000000000000−2i32i300000000000000000000000000
χ6144-4-44-2424-44-2-4-4-420-2-240000222-44-400002-2-200-2000002-2200000000000002i3−2i3000000000000000002i3−2i300000000000000000000000000
χ6244-4-4-244-4-2-44422-4-404-2-2−2i32i300-4222-22−2i3−2i32i32i3-44-200-2000−2i32i32-22−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ6344-4-4-244-4-2-44422-4-404-2-22i3−2i300-4222-222i32i3−2i3−2i3-44-200-20002i3−2i32-222i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ6444-4-4-24-2-4-22-24222-40-2-21−2i32i300222-11-1i3i3−i3−i32-2-2001000−2i32i3-11-1i3i3−i3−i30000000000000−2i32i33-33-3i3i3−i3−i3000000000000000000000000000000000
χ6544-4-4-24-2-4-22-24222-40-2-21−2i32i300222-11-1i3i3−i3−i32-2-2001000−2i32i3-11-1i3i3−i3−i300000000000002i3−2i3-33-33−i3−i3i3i3000000000000000000000000000000000
χ6644-4-4-24-2-4-22-24222-40-2-212i3−2i300222-11-1−i3−i3i3i32-2-20010002i3−2i3-11-1−i3−i3i3i30000000000000−2i32i3-33-33i3i3−i3−i3000000000000000000000000000000000
χ6744-4-4-24-2-4-22-24222-40-2-212i3−2i300222-11-1−i3−i3i3i32-2-20010002i3−2i3-11-1−i3−i3i3i300000000000002i3−2i33-33-3−i3−i3i3i3000000000000000000000000000000000
χ6844-4-4-2-242-2-44-222-420-21-2−2i32i3002-1-12-22−2i3−2i32i32i32-21001000i3−i3-11-1i3i3−i3−i3000000000−2i32i300000000000000000i3−i3000003-30000000000000000000
χ6944-4-4-2-242-2-44-222-420-21-2−2i32i3002-1-12-22−2i3−2i32i32i32-21001000i3−i3-11-1i3i3−i3−i30000000002i3−2i300000000000000000−i3i300000-330000000000000000000
χ7044-4-4-2-242-2-44-222-420-21-22i3−2i3002-1-12-222i32i3−2i3−2i32-21001000−i3i3-11-1−i3−i3i3i3000000000−2i32i300000000000000000i3−i300000-330000000000000000000
χ7144-4-4-2-242-2-44-222-420-21-22i3−2i3002-1-12-222i32i3−2i3−2i32-21001000−i3i3-11-1−i3−i3i3i30000000002i3−2i300000000000000000−i3i3000003-30000000000000000000
χ724-44-44444-4-4-4-4-444-4044400004-44-4-440000-4-4-400400000-4-44000000000000000000000000000000000000000000000000000000000000
χ734-44-444-24-422-4-44-2-40-24-200−2i32i3-2-4422-2−2i32i3−2i32i322-400-20−2i32i30022-2−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000
χ744-44-444-24-422-4-44-2-40-24-2002i3−2i3-2-4422-22i3−2i32i3−2i322-400-202i3−2i30022-22i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ754-44-44-24-2-4-4-42-44420-2-240000-22-2-4-44000022200-20000022-200000000000000000000000000023−230000000000000023−23000000000000000
χ764-44-44-24-2-4-4-42-44420-2-240000-22-2-4-44000022200-20000022-2000000000000000000000000000−232300000000000000−2323000000000000000
χ774-44-44-2-2-2-4222-44-2201-2-200−2i32i312-222-2−2i32i3−2i32i3-1-120010i3−i300-1-11i3−i3i3−i30000000000000000000000023−230000000000003i−3i−33000000000000000
χ784-44-44-2-2-2-4222-44-2201-2-200−2i32i312-222-2−2i32i3−2i32i3-1-120010i3−i300-1-11i3−i3i3−i300000000000000000000000−2323000000000000−3i3i3−3000000000000000
χ794-44-44-2-2-2-4222-44-2201-2-2002i3−2i312-222-22i3−2i32i3−2i3-1-120010−i3i300-1-11−i3i3−i3i30000000000000000000000023−23000000000000−3i3i−33000000000000000
χ804-44-44-2-2-2-4222-44-2201-2-2002i3−2i312-222-22i3−2i32i3−2i3-1-120010−i3i300-1-11−i3i3−i3i300000000000000000000000−23230000000000003i−3i3−3000000000000000
χ814-44-4-24442-4-4-42-24-404-2-2000042-222-20000-4-4200-20000022-200000000000−2i32i30000000000−2i32i3−2i32i3000000000000000000000000000000000
χ824-44-4-24442-4-4-42-24-404-2-2000042-222-20000-4-4200-20000022-2000000000002i3−2i300000000002i3−2i32i3−2i3000000000000000000000000000000000
χ834-44-4-24-24222-42-2-2-40-2-2100−2i32i3-22-2-1-11i3−i3i3−i32220010−2i32i300-1-11i3−i3i3−i30000000−2i32i30000003-3-33i3−i3i3−i3000000000000000000000000000000000
χ844-44-4-24-24222-42-2-2-40-2-2100−2i32i3-22-2-1-11i3−i3i3−i32220010−2i32i300-1-11i3−i3i3−i300000002i3−2i3000000-333-3−i3i3−i3i3000000000000000000000000000000000
χ854-44-4-24-24222-42-2-2-40-2-21002i3−2i3-22-2-1-11−i3i3−i3i322200102i3−2i300-1-11−i3i3−i3i30000000−2i32i3000000-333-3i3−i3i3−i3000000000000000000000000000000000
χ864-44-4-24-24222-42-2-2-40-2-21002i3−2i3-22-2-1-11−i3i3−i3i322200102i3−2i300-1-11−i3i3−i3i300000002i3−2i30000003-3-33−i3i3−i3i3000000000000000000000000000000000
χ874-4-4444-2-4-4-22-44-4240-24-2000024-4-2220000-22-44-4-200000-2220000000004-40000-2200-2-2220000000000000000000000000000000000000
χ884-4-4444-2-4-4-22-44-4240-24-2000024-4-2220000-22-4-44-200000-222000000000-4400002-20022-2-20000000000000000000000000000000000000
χ894-4-444-242-44-424-4-4-20-2-2400002-224-4-40000-22200-200000-222000000000000000000000000000004-40000000000000000000-2200000000
χ904-4-444-242-44-424-4-4-20-2-2400002-224-4-40000-22200-200000-22200000000000000000000000000000-4400000000000000000002-200000000
χ914-4-44-244-424-4-4-22-4404-2-20000-4-22-22200004-424-4-200000-222000000000-2200004-400-2-2220000000000000000000000000000000000000
χ924-4-44-244-424-4-4-22-4404-2-20000-4-22-22200004-42-44-200000-2220000000002-20000-440022-2-20000000000000000000000000000000000000
χ934-4-44-24-2-42-22-4-22240-2-2100002-221-1-13-3-33-2224-41000001-1-13-3-3300000-220000-220011-1-13-3-33000000000000000000000000000000000
χ944-4-44-24-2-42-22-4-22240-2-2100002-221-1-13-3-33-222-441000001-1-13-3-33000002-200002-200-1-111-333-3000000000000000000000000000000000
χ954-4-44-24-2-42-22-4-22240-2-2100002-221-1-1-333-3-2224-41000001-1-1-333-300000-220000-220011-1-1-333-3000000000000000000000000000000000
χ964-4-44-24-2-42-22-4-22240-2-2100002-221-1-1-333-3-222-441000001-1-1-333-3000002-200002-200-1-1113-3-33000000000000000000000000000000000
χ978888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4-4-4222222222222200-1-42222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-4-82224444222222-2-2-2-222200-14-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9988-8-88-4-4484-4-4-8-84402-4-40000-2444-440000-22-400200000-22-2000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-44-44-4-444440222−4i34i300-2-2-2-22-22i32i3−2i3−2i3-22200-10002i3−2i31-11−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44-44-4-4444402224i3−4i300-2-2-2-22-2−2i3−2i32i32i3-22200-1000−2i32i31-11i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48-44-8-844-4840-42-40000-4-2244-4000044-200200000-2-22000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-444444-4-44022200−4i34i32-22-2-222i3−2i32i3−2i3-2-2-200-102i3−2i30011-1−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-444444-4-440222004i3−4i32-22-2-22−2i32i3−2i32i3-2-2-200-10−2i32i30011-1i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-44-8-4448-84-402-4-40000-2-44-44400002-24002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48448-84-44-8-40-42-4000042-2-4440000-44-2002000002-2-2000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-444-444-402220000-22-22-2-26-6-662-2-200-100000-111-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-444-444-402220000-22-22-2-2-666-62-2-200-100000-1113-3-3300000000000000000000000000000000000000000000000000000000

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