Finite Group Databasebeta

← Group #13172266

Character table — Group #13172266

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666662333666666666664436666666666666662444466121212121212444444446661212121212121212121212121212121212241212121212121212446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-11111-1-111-1-111-1-1-1-11111-1-111-11111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111111111111111111111-111-11-1-111111111-1-1-1-1-1-1-1-1-11111-11-11111-1-111111-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-111111111111111111-111111-1-111-1-1-1-1-1-11111111-111-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1111-11
χ71111111111111111111111111111111-1-11111111111111111-1-11-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-111
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-11111-1-111-1-11111-1-1111-11-1-1-11-111-1-1-1-111-1-11-111-1-111-1-1111-1-1
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111111111111-1-111111-1-11-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11-1-111111-1-11111-1-111-1-1-1-1-1-111-1-1111
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-11-11-1111-1-111-1-111-11-1-11111-1-111-11-1
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-1-1-1-1-111-1-111-1-111111-11-11-1-1-111-1-111-1-1-11-1-11111-1-1-1-1-111
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1-111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-11111-1-1111111-1-1-1-11111-1-11111-1-1-1
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1111-11-1-11111-1-1111-111-1-111-1-1-1-11-11
χ17222222-1222-1-122-122-1-1222-1-122-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1-10220200-1-1-1-12222000000000222-10-10-1-1-1-100-1-1-1-12000-1-1000000-100
χ18222222-1222-1-122-122-1-1222-1-122-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1-102-20-200-1-11122-2-20000000002-2-2-1010-1-1-1-1001111-200011000000100
χ19222222-1222-1-122-122-1-1222-1-122-1-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-1-10-22020011-1-1-2-2-2-2000000000-22210-10111100-1-1-1-1-200011000000100
χ20222222-1222-1-122-122-1-1222-1-122-1-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-1-10-2-20-2001111-2-222000000000-2-2-2101011110011112000-1-1000000-100
χ21222222-1222-1-122-12-2-1-12-2-2-1-122-1-1-1-1222-1-211111-2-2-1-1-111110-220-200-1-11122-2-2000000000-22-210-10-1-11100-1-111200011000000-100
χ22222222-1222-1-122-12-2-1-12-2-2-1-122-1-1-1-1222-1-211111-2-2-1-1-111110-2-20200-1-1-1-12222000000000-2-221010-1-1110011-1-1-2000-1-1000000100
χ23222222-1222-1-122-12-2-1-12-2-2-1-122-1-1-1-12-2-2-1-211111-2-2-1-1-111110220-2001111-2-22200000000022-2-10-1011-1-100-1-111-2000-1-1000000100
χ24222222-1222-1-122-12-2-1-12-2-2-1-122-1-1-1-12-2-2-1-211111-2-2-1-1-1111102-2020011-1-1-2-2-2-20000000002-22-101011-1-10011-1-1200011000000-100
χ2522222-1222-122-1-12222-1-1222-1-1-122-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-122020-1-12200-1-1002200002-1-1-1002-102-1-1-1-1-1-1000002-1-1000000000-10
χ2622222-1222-122-1-12222-1-1222-1-1-122-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-1-1-220-20112200-1-100-2-20000-211-100210-2-1-1-1-11100000-21100000000010
χ2722222-1222-122-1-12222-1-1222-1-1-122-1-1-1-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-12-2020-1-1-2-2001100-2-200002-1-1100-2-1021111-1-100000-21100000000010
χ2822222-1222-122-1-12222-1-1222-1-1-122-1-1-1-2-2-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-20-2011-2-2001100220000-211100-210-2111111000002-1-1000000000-10
χ2922222-1222-122-1-122-22-1-1-2-22-1-1-122-1-1-122-11-2-2-21111-1-1-111112-20-20-1-12200-1-1002200002-1-1100-210-2-1-1111100000-2-1-100000000010
χ3022222-1222-122-1-122-22-1-1-2-22-1-1-122-1-1-122-11-2-2-21111-1-1-11111-2-2020112200-1-100-2-20000-211100-2-102-1-111-1-100000211000000000-10
χ3122222-1222-122-1-122-22-1-1-2-22-1-1-122-1-1-1-2-2-11-2-2-21111-1-1-11111220-20-1-1-2-2001100-2-200002-1-1-100210-211-1-11100000211000000000-10
χ3222222-1222-122-1-122-22-1-1-2-22-1-1-122-1-1-1-2-2-11-2-2-21111-1-1-11111-2202011-2-2001100220000-211-1002-10211-1-1-1-100000-2-1-100000000010
χ332222-122-1-1222222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-1202222200220000002222-1-1-10-1-1022-10000-1-1-1-1-1-1000000-1-1-1-100000
χ342222-122-1-1222222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-120-22-22200-2-2000000-2-2-2-2-1-1-101102-2-10000-1-11111000000111100000
χ352222-122-1-1222222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-1-202-22-2-20022000000-2-2-2-21110-1-10-221000011-1-1-1-1000000111100000
χ362222-122-1-1222222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-1-20-2-2-2-2-200-2-200000022221110110-2-210000111111000000-1-1-1-100000
χ372222-122-1-1222222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-11111202-2-22200-2-200000022-2-2-1-1-10-110-221000011-1-111000000-1-11100000
χ382222-122-1-1222222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-1111120-2-22220022000000-2-222-1-1-101-10-2-2100001111-1-100000011-1-100000
χ392222-122-1-1222222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-11111-2022-2-2-200-2-2000000-2-2221110-11022-10000-1-1-1-11100000011-1-100000
χ402222-122-1-1222222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-11111-20-222-2-2002200000022-2-211101-102-2-10000-1-111-1-1000000-1-11100000
χ4122-2-22222-22-2-2-2-22-2022200-2-22-22-22-2-2002000000002-2-2000000000000000002-22i−2i002i−2i00000000000000000000002i−2i2-2002i−2i00000
χ4222-2-22222-22-2-2-2-22-2022200-2-22-22-22-2-2002000000002-2-2000000000000000002-2−2i2i00−2i2i0000000000000000000000−2i2i2-200−2i2i00000
χ4322-2-22222-22-2-2-2-22-2022200-2-22-22-22-2-2002000000002-2-200000000000000000-222i−2i00−2i2i00000000000000000000002i−2i-2200−2i2i00000
χ4422-2-22222-22-2-2-2-22-2022200-2-22-22-22-2-2002000000002-2-200000000000000000-22−2i2i002i−2i0000000000000000000000−2i2i-22002i−2i00000
χ452-2-22222-22-22-22-2-2-2022200-22-22-22-2-2-22i−2i200000000-22-2000000000002i−2i002i−2i00002i−2i0000000000002i−2i000000000000002i−2i002-2000
χ462-2-22222-22-22-22-2-2-2022200-22-22-22-2-2-22i−2i200000000-22-2000000000002i−2i002i−2i0000−2i2i0000000000002i−2i00000000000000−2i2i00-22000
χ472-2-22222-22-22-22-2-2-2022200-22-22-22-2-2-2−2i2i200000000-22-200000000000−2i2i00−2i2i00002i−2i000000000000−2i2i000000000000002i−2i00-22000
χ482-2-22222-22-22-22-2-2-2022200-22-22-22-2-2-2−2i2i200000000-22-200000000000−2i2i00−2i2i0000−2i2i000000000000−2i2i00000000000000−2i2i002-2000
χ4944444-2-244-2-2-2-2-2-244-21-244-21-2-2-2-211-2441-2-2-2-211-2-211111110400000-2-200-2-200000000000-200-20001111000000000000000000000
χ5044444-2-244-2-2-2-2-2-244-21-244-21-2-2-2-211-2-4-41-2-2-2-211-2-211111110-400000220022000000000002002000-1-1-1-1000000000000000000000
χ5144444-2-244-2-2-2-2-2-24-4-21-2-4-4-21-2-2-2-211-24412222-1-122111-1-1-1-10-400000-2-200-2-200000000000200200011-1-1000000000000000000000
χ5244444-2-244-2-2-2-2-2-24-4-21-2-4-4-21-2-2-2-211-2-4-412222-1-122111-1-1-1-1040000022002200000000000-200-2000-1-111000000000000000000000
χ534444-24-2-2-24-2-244-2-241-2-2-2-21-2-2-211-2-2-20014-211-2-2-2-21111111004040000-2-200000000000000-2-200-200000001111000000000000000
χ544444-24-2-2-24-2-244-2-241-2-2-2-21-2-2-211-2-2-20014-211-2-2-2-2111111100-40-400002200000000000000220020000000-1-1-1-1000000000000000
χ554444-24-2-2-24-2-244-2-2-41-2-2221-2-2-211-2-2-2001-42-1-12222111-1-1-1-10040-400002200000000000000-2200-2000000011-1-1000000000000000
χ564444-24-2-2-24-2-244-2-2-41-2-2221-2-2-211-2-2-2001-42-1-12222111-1-1-1-100-4040000-2-2000000000000002-20020000000-1-111000000000000000
χ574444-2-24-2-2-244-2-24-24-2-21-2-2-2-211-2-2-2-21001-24-2-2-2-211111111140040-2-200000000000000-2110000-20-20000110000000000000000000
χ584444-2-24-2-2-244-2-24-24-2-21-2-2-2-211-2-2-2-21001-24-2-2-2-2111111111-400-4022000000000000002-1-100002020000-1-10000000000000000000
χ594444-2-24-2-2-244-2-24-2-4-2-2122-2-211-2-2-2-210012-42222-1-1111-1-1-1-1400-40-2-200000000000000-21100002020000-1-10000000000000000000
χ604444-2-24-2-2-244-2-24-2-4-2-2122-2-211-2-2-2-210012-42222-1-1111-1-1-1-1-4004022000000000000002-1-10000-20-20000110000000000000000000
χ6144-4-444-24-4422-4-4-2-40-2-2400224-4-22-22-400-200000000-222000000000000000004-4000000000000000000000000000000-22000000000
χ6244-4-444-24-4422-4-4-2-40-2-2400224-4-22-22-400-200000000-22200000000000000000-440000000000000000000000000000002-2000000000
χ6344-4-44-244-4-2-4-4224-404-2-200-42-224-4-22200-200000000-22200000000000000000004i−4i00000000000000000000000000−2i2i00000000000
χ6444-4-44-244-4-2-4-4224-404-2-200-42-224-4-22200-200000000-2220000000000000000000−4i4i000000000000000000000000002i−2i00000000000
χ6544-4-4-244-224-4-4-4-4420-24-2002-4-22-224-4200-200000000-222000000000000000000000004i−4i0000000000000000000000000000−2i2i00000
χ6644-4-4-244-224-4-4-4-4420-24-2002-4-22-224-4200-200000000-22200000000000000000000000−4i4i00000000000000000000000000002i−2i00000
χ674-44-4444-4-4-4-44-44-440444004-4-4-4-4-4-44400400000000-4-44000000000000000000000000000000000000000000000000000000000000
χ684-44-444-2-4-4-42-2-44240-2-2400-22-4-4222-2400-20000000022-2000000000000023−23000000000000000000000000000023−23000000000000000
χ694-44-444-2-4-4-42-2-44240-2-2400-22-4-4222-2400-20000000022-20000000000000−23230000000000000000000000000000−2323000000000000000
χ704-44-44-24-4-42-442-2-4404-2-2004222-4-42-2-200-20000000022-2000000000−2i32i3000000000000000−2i32i300000000000000000000000000000000
χ714-44-44-24-4-42-442-2-4404-2-2004222-4-42-2-200-20000000022-20000000002i3−2i30000000000000002i3−2i300000000000000000000000000000000
χ724-44-4-24422-4-44-44-4-20-24-2−2i32i3-2-42222-44-200-200−2i32i300−2i32i322-2−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ734-44-4-24422-4-44-44-4-20-24-22i3−2i3-2-42222-44-200-2002i3−2i3002i3−2i322-22i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ744-44-4-24-222-42-2-442-201-2-2−2i32i31222-1-12-2-200100i3−i300−2i32i3-1-11i3i3−i3−i300000000023−23000000000000000000000000003i−3i−33000000000000000
χ754-44-4-24-222-42-2-442-201-2-2−2i32i31222-1-12-2-200100i3−i300−2i32i3-1-11i3i3−i3−i3000000000−232300000000000000000000000000−3i3i3−3000000000000000
χ764-44-4-24-222-42-2-442-201-2-22i3−2i31222-1-12-2-200100−i3i3002i3−2i3-1-11−i3−i3i3i300000000023−2300000000000000000000000000−3i3i−33000000000000000
χ774-44-4-24-222-42-2-442-201-2-22i3−2i31222-1-12-2-200100−i3i3002i3−2i3-1-11−i3−i3i3i3000000000−2323000000000000000000000000003i−3i3−3000000000000000
χ784-44-4-2-24222-442-2-4-20-2-21−2i32i3-22-1-1222-2100100−2i32i300i3−i3-1-11i3i3−i3−i300000−2i32i3000000000000000i3−i3000000000003-30000000000000000000
χ794-44-4-2-24222-442-2-4-20-2-21−2i32i3-22-1-1222-2100100−2i32i300i3−i3-1-11i3i3−i3−i3000002i3−2i3000000000000000−i3i300000000000-330000000000000000000
χ804-44-4-2-24222-442-2-4-20-2-212i3−2i3-22-1-1222-21001002i3−2i300−i3i3-1-11−i3−i3i3i300000−2i32i3000000000000000i3−i300000000000-330000000000000000000
χ814-44-4-2-24222-442-2-4-20-2-212i3−2i3-22-1-1222-21001002i3−2i300−i3i3-1-11−i3−i3i3i3000002i3−2i3000000000000000−i3i3000000000003-30000000000000000000
χ824-4-4444-2-44-4-224-42-40-2-24002-2-442-222-44i−4i-2000000002-2200000000000−2i2i004i−4i000000000000000000−2i2i00000000000000000000000
χ834-4-4444-2-44-4-224-42-40-2-24002-2-442-222-4−4i4i-2000000002-22000000000002i−2i00−4i4i0000000000000000002i−2i00000000000000000000000
χ844-4-444-24-4424-4-22-4-404-2-200-4-22-2-442224i−4i-2000000002-22000000000004i−4i00−2i2i000000000000000000−2i2i00000000000000000000000
χ854-4-444-24-4424-4-22-4-404-2-200-4-22-2-44222−4i4i-2000000002-2200000000000−4i4i002i−2i0000000000000000002i−2i00000000000000000000000
χ864-4-444-2-2-442-22-222-40-21-200212-22-2-1-124i−4i100003-300-11-13-33-30000000−2i2i00−2i2i000000000000000000i−i3i−3i000000000000000000000
χ874-4-444-2-2-442-22-222-40-21-200212-22-2-1-124i−4i10000-3300-11-1-33-330000000−2i2i00−2i2i000000000000000000i−i−3i3i000000000000000000000
χ884-4-444-2-2-442-22-222-40-21-200212-22-2-1-12−4i4i100003-300-11-13-33-300000002i−2i002i−2i000000000000000000−ii−3i3i000000000000000000000
χ894-4-444-2-2-442-22-222-40-21-200212-22-2-1-12−4i4i10000-3300-11-1-33-3300000002i−2i002i−2i000000000000000000−ii3i−3i000000000000000000000
χ904-4-44-2442-2-44-44-4-420-24-200242-22-2-4-4200-2000000002-220000000000000000000004i−4i0000000000000000000000000000−2i2i0000000
χ914-4-44-2442-2-44-44-4-420-24-200242-22-2-4-4200-2000000002-22000000000000000000000−4i4i00000000000000000000000000002i−2i0000000
χ928888-4-4-4-4-4-4-4-4-4-4-4-48222-4-422222222200-1-4-4222222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ938888-4-4-4-4-4-4-4-4-4-4-4-4-82224422222222200-144-2-2-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-48-8-44444-4-80-42-4004-2-44-442-24002000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48-4-44844-8-8-4402-4-400-24-442-2-444002000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-48-44-4-8-844840-4-4200442-2-44-44-2002000000002-2-2000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4-44-44444-44022200-2-22-22-22-2-200-100000000-111−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-4-4-44-44444-44022200-2-22-22-22-2-200-100000000-1113i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000
χ998-88-88-4-4-8-844-44-4480-42-400-4-24444-22-400200000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-44444-44-44-40222−4i34i32-2-2-2-2-2-22200-1002i3−2i3002i3−2i311-1−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44444-44-44-402224i3−4i32-2-2-2-2-2-22200-100−2i32i300−2i32i311-1i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1028-8-88-48-44-4-8-448-84402-4-400-2-44-4-2244400200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484-448-8-44-840-4-42004-4-224-444-200200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44-44-4444022200-22-22-22-2-2-200-100006-6001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44-44-4444022200-22-22-22-2-2-200-10000-66001-113-33-300000000000000000000000000000000000000000000000000000000

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