Finite Group Databasebeta

← Group #11885768

Character table — Group #11885768

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212122222226666121212121212121222224466666666888866666688884466121212121212242424248822
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11111-1-111
χ9111111-1-1111111111-1111111-1-1-1-1111-1-11-111-1-1-1-111-1-1-1-111111-111-1-1111111-1-11-111-1-11111-1-1111-1-1-1-1-111-1-1-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-1111-1-11-111-1-1-1-111-1-1-1-111-1-11-111-1-11111-1-1111-111-1-1-1-1-1-1-11-1-11-1-1-111-1-11111-11
χ11111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11-1111-111-1-1-1-111111-1
χ12111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-11-1-111111111-1-11-1111111-1-1-1-1-11
χ13111111-1-1111111111-1111111-1-1-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-111-11-1-111-1-1-1-111-1-11-111-1-1-1-1-1-11-111-1111-1-111-1-111-11
χ14111111-1-1111111111-1111111-1-1-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111-111-1-1111111-1-1-111111-1-111-1-11-1
χ15111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-111-1-111-1-1-1-11111-11-1-1111111-1-111-11-1-1111111-1-111-11-1-1-1-1-1-111-1-1-11
χ16111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-111-1-111-1-1-1-111-1-1-11-1-111111111-1-1-11-1-111-1-1-1-1-11-1-1-11-1-11111-1-1111-1
χ1722222222-2-22222222-2222-2-2-22222-22222000000-2-2-2-222-2-20000-2-222220000000000000000000000-2-2000000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-2000000-2-2-2-222-2-2000022-2-2-2-2000000000000000000000022000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200000022-2-2-2-2220000-2222-2-20000000000000000000000-22000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200000022-2-2-2-22200002-2-2-22200000000000000000000002-2000000000000
χ2122222-1222222-12-1-1-12-1-1-12-1-122-1-12222222-1-1-1-12-1-1-1-1-1-1-1220022-1-1-1-1-1-1-1-1000022-1-1-1-100002000-1-1-1-10000000000
χ2222222-1222222-12-1-1-12-1-1-12-1-122-1-122222-2-211112-1-1-1-1-1-1-1-2-20022-1-1-1-111110000-2-211110000-2000-1-1110000000000
χ2322222-1222222-12-1-1-12-1-1-12-1-122-1-12-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-2-200-2-211111111000022-1-1-1-10000-200011110000000000
χ2422222-1222222-12-1-1-12-1-1-12-1-122-1-12-2-2-2-2-2-211112-1-1-1-1-1-1-12200-2-21111-1-1-1-10000-2-211110000200011-1-10000000000
χ2522222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-2222200−i3i3−i3i3-2111-1-1110000-2-2-1-1-1-1−i3−i3i3i3000000−i3i3−i3i30000000011−i3i30000000000
χ2622222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-2222200i3−i3i3−i3-2111-1-1110000-2-2-1-1-1-1i3i3−i3−i3000000i3−i3i3−i30000000011i3−i30000000000
χ2722222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-2-2-2-2-200−i3i3−i3i3-2111-1-1110000221111i3i3−i3−i3000000−i3i3−i3i300000000-1-1i3−i30000000000
χ2822222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-2-2-2-2-200i3−i3i3−i3-2111-1-1110000221111−i3−i3i3i3000000i3−i3i3−i300000000-1-1−i3i30000000000
χ2922222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-211222-2-22-2-1-111-21-1-1111122002-2-1-111-1-1-1-100002-2-1-1110000-2000-11110000000000
χ3022222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-211222-2-2-2211-1-1-21-1-11111-2-2002-2-1-11111110000-2211-1-100002000-11-1-10000000000
χ3122222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-2112-2-2222-2-1-111-21-1-11111-2-200-2211-1-1111100002-2-1-111000020001-1-1-10000000000
χ3222222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-2112-2-222-2211-1-1-21-1-111112200-2211-1-1-1-1-1-10000-2211-1-10000-20001-1110000000000
χ3322222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-222-2-200−i3i3i3−i32-11111-1-10000-22-1-111−i3−i3i3i3000000−i3i3i3−i3000000001-1i3−i30000000000
χ3422222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-222-2-200i3−i3−i3i32-11111-1-10000-22-1-111i3i3−i3−i3000000i3−i3−i3i3000000001-1−i3i30000000000
χ3522222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2-2-22200−i3i3i3−i32-11111-1-100002-211-1-1i3i3−i3−i3000000−i3i3i3−i300000000-11−i3i30000000000
χ3622222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-2-2-22200i3−i3−i3i32-11111-1-100002-211-1-1−i3−i3i3i3000000i3−i3−i3i300000000-11i3−i30000000000
χ372222-122222-1-12-122-12-1-1-1-122-1-122-10000222222-12-1-1-1-1-1-1002200000000002222-1-1-1-1-1-1000002-1-10000-1-1-1-1-1-10000
χ382222-122222-1-12-122-12-1-1-1-122-1-122-10000222222-12-1-1-1-1-1-100-2-20000000000-2-2-2-2-1-1-1-1-1-100000-21100001111110000
χ392222-122222-1-12-122-12-1-1-1-122-1-122-10000-2-2-2-2-2-2-12-1-1-1-1-1-100220000000000-2-2-2-2111111000002-1-10000-1-111110000
χ402222-122222-1-12-122-12-1-1-1-122-1-122-10000-2-2-2-2-2-2-12-1-1-1-1-1-100-2-20000000000222211111100000-211000011-1-1-1-10000
χ412222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-100002-222-2-21-2-1-111110022000000000022-2-2-11-1-11100000-2-1-1000011-1-1110000
χ422222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-100002-222-2-21-2-1-1111100-2-20000000000-2-222-11-1-111000002110000-1-111-1-10000
χ432222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-10000-22-2-2221-2-1-1111100220000000000-2-2221-111-1-100000-2-1-100001111-1-10000
χ442222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-10000-22-2-2221-2-1-1111100-2-2000000000022-2-21-111-1-1000002110000-1-1-1-1110000
χ452-22-22200-222-2-2-22-2202-2-2-22-2000020000000000002-200002-22-20000002-22-2000000000022-2-2002-200000000000000
χ462-22-22200-222-2-2-22-2202-2-2-22-2000020000000000002-200002-2-220000002-22-20000000000-2-22200-2200000000000000
χ472-22-22200-222-2-2-22-2202-2-2-22-2000020000000000002-20000-222-2000000-22-220000000000-2-222002-200000000000000
χ482-22-22200-222-2-2-22-2202-2-2-22-2000020000000000002-20000-22-22000000-22-22000000000022-2-200-2200000000000000
χ492-2-22222-200-2-2-22-2220-22-20002-22-202-22-200000000002-2000000002-22-200002−22−20000002−22−200000000002−22−22−200
χ502-2-22222-200-2-2-22-2220-22-20002-22-202-22-200000000002-2000000002-22-20000−22−22000000−22−220000000000−22−22−2200
χ512-2-22222-200-2-2-22-2220-22-20002-22-20-22-2200000000002-200000000-22-2200002−22−2000000−22−2200000000002−22−2−2200
χ522-2-22222-200-2-2-22-2220-22-20002-22-20-22-2200000000002-200000000-22-220000−22−220000002−22−20000000000−22−222−200
χ532-2-2222-2200-2-2-22-2220-22-2000-22-2202-2-220000000000-22000000002-2-2200002−2−220000002−22−200000000002−2−22−2200
χ542-2-2222-2200-2-2-22-2220-22-2000-22-2202-2-220000000000-22000000002-2-220000−222−2000000−22−220000000000−222−22−200
χ552-2-2222-2200-2-2-22-2220-22-2000-22-220-222-20000000000-2200000000-222-200002−2−22000000−22−2200000000002−2−222−200
χ562-2-2222-2200-2-2-22-2220-22-2000-22-220-222-20000000000-2200000000-222-20000−222−20000002−22−20000000000−222−2−2200
χ574444-2444-4-4-2-24-244-2-4-2-2-22-4-4-2-244200000000002-422-2-2220000000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-24-244-24-2-2-22-4-422-4-420000000000-242222-2-20000000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2000044-2-2-2-2-2-2111111000000000000000000-2-211110000000000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-20000-4-42222-2-211111100000000000000000022-1-1-1-10000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-22000000−2i32i3−2i32i322-1-111-1-100000000000000000000i3−i3i3−i30000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111222-2-2-2-220000002i3−2i32i3−2i322-1-111-1-100000000000000000000−i3i3−i3i30000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-200004-4-2-2222211-1-1-1-1000000000000000000-2211-1-10000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-2-2-22222-20000-4422-2-22211-1-1-1-10000000000000000002-2-1-1110000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122222222000000−2i32i32i3−2i3-2-2-1-1-1-11100000000000000000000i3−i3−i3i30000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222220000002i3−2i3−2i32i3-2-2-1-1-1-11100000000000000000000−i3i3i3−i30000000000000000000000
χ6744-4-4440000-444-4-4-440-4-440000000000000000000000000000000000000000000000000022−22−2222000000000000000000
χ6844-4-4440000-444-4-4-440-4-4400000000000000000000000000000000000000000000000000−222222−22000000000000000000
χ694-44-444004-44-4-4-44-4404-4-44-440000-4000000000000-4400000000000000000000000000000000000000000000000000
χ704-44-44-2004-44-42-4-22-20-22242-20000-40000000000002-200000000000000−2i32i32i3−2i300000000000000000000000000000000
χ714-44-44-2004-44-42-4-22-20-22242-20000-40000000000002-2000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ724-44-44-200-444-42-4-22-20-222-4-2200004000000000000-2200004-400000000-22-2200000000000000000000000000000000
χ734-44-44-200-444-42-4-22-20-222-4-2200004000000000000-220000-44000000002-22-200000000000000000000000000000000
χ744-44-4-24004-4-22-424-4-20-222-2-44000020000000000002-2000000000000000000000000000000000000000023−2300000000
χ754-44-4-24004-4-22-424-4-20-222-2-44000020000000000002-20000000000000000000000000000000000000000−232300000000
χ764-44-4-2400-44-22-424-4-20-22224-40000-2000000000000-220000004-400000000000000000000000000-2200000000000000
χ774-44-4-2400-44-22-424-4-20-22224-40000-2000000000000-22000000-44000000000000000000000000002-200000000000000
χ784-4-444-24-400-4-4242-2-202-220004-4-2204-44-40000000000-2200000000-22-22000000000000000000000000000000000000
χ794-4-444-24-400-4-4242-2-202-220004-4-220-44-440000000000-22000000002-22-2000000000000000000000000000000000000
χ804-4-444-2-4400-4-4242-2-202-22000-442-204-4-4400000000002-200000000-222-2000000000000000000000000000000000000
χ814-4-444-2-4400-4-4242-2-202-22000-442-20-444-400000000002-2000000002-2-22000000000000000000000000000000000000
χ824-4-44-244-40022-4-2-44-202-22000-224-4000000000000000-22000000000000000022−2222−2200000000000000000000−22−220000
χ834-4-44-244-40022-4-2-44-202-22000-224-4000000000000000-220000000000000000−2222−2222000000000000000000002−22−20000
χ844-4-44-24-440022-4-2-44-202-220002-2-440000000000000002-2000000000000000022−22−222200000000000000000000−222−20000
χ854-4-44-24-440022-4-2-44-202-220002-2-440000000000000002-20000000000000000−222222−22000000000000000000002−2−220000
χ8688-8-88-40000-88-4-844-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4800004-484-8-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-4-444420-2-220000000000000000000000006-60000000000000000000000000000000000000000000000
χ8988-8-8-4-400004-4-444420-2-22000000000000000000000000-660000000000000000000000000000000000000000000000
χ908-88-8-4-4008-8-4444-44202-2-2-44-400004000000000000-2200000000000000000000000000000000000000000000000000
χ918-88-8-4-400-88-4444-44202-2-24-440000-40000000000002-200000000000000000000000000000000000000000000000000
χ928-8-88-4-48-800444-44-420-22-2000-44-440000000000000002-2000000000000000000000000000000000000000000000000
χ938-8-88-4-4-8800444-44-420-22-20004-44-4000000000000000-22000000000000000000000000000000000000000000000000

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