Finite Group Databasebeta

← Group #11887061

Character table — Group #11887061

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444466668888888888888812121212121212121212121212121212121216161616161618181818242424242424242424242424242436367272
order12223344446666663466612121212121212122222226666121212121212121222444466666666888866666688882466121212121212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11-111-1-1-1-1111111-1-1-1-1
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
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-111
χ9111111-1-1111111111-1111111-1-1-1-1111-1-11-111-1-1-1-111-1-1-1-1111-11111-1-1111111-1-11-111-1-11111-1-1-1-11-1-1-11111-1-1-1-11-1
χ10111111-1-1111111111-1111111-1-1-1-1111-1-11-111-1-1-1-111-1-1-1-1111-1-1-111-1-11111-1-1111-111-1-1-1-1-1-11-1111-1-1-1-1-1-1-11111-11
χ11111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-11-1-11-11111-1-111111-1
χ12111111-1-1111111111-1111111-1-1-1-1111-1-1-11-1-111-1-111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-11-1-111111111111-111-1-111-1-1-1-1-11
χ13111111-1-1111111111-1111111-1-1-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-11-111-1-1-1-1-1-1-11-1-1-11111111-1-111-11
χ14111111-1-1111111111-1111111-1-1-1-11-1-1111-111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111-111-1-111111111-1111-1-1-1-111-1-11-1
χ15111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-111-1-111-1-1-1-111-1111-1-1111111-1-111-11-1-1111111-1-1-1-1-11-1-111-1-111-1-1-11
χ16111111-1-1111111111-1111111-1-1-1-11-1-111-11-1-111-1-111-1-1-1-111-11-1-1-1-111111111-1-1-11-1-111-1-1-1-11-111-11-1-1-1-111-1-1111-1
χ1722222222-2-22222222-2222-2-2-22222-22222000000-2-2-2-222-2-200-2-20022220000000000000000000000-2-2000000000000
χ1822222222-2-22222222-2222-2-2-22222-2-2-2-2-2000000-2-2-2-222-2-2002200-2-2-2-2000000000000000000000022000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-200000022-2-2-2-22200-220022-2-20000000000000000000000-22000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22200000022-2-2-2-222002-200-2-22200000000000000000000002-2000000000000
χ2122222-1222222-12-1-1-12-1-1-12-1-122-1-12222222-1-1-1-12-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-1000022-1-1-1-100000200-1-1-1-10000000000
χ2222222-1222222-12-1-1-12-1-1-12-1-122-1-122222-2-211112-1-1-1-1-1-1-1-2-22200-1-1-1-111110000-2-2111100000-200-1-1110000000000
χ2322222-1222222-12-1-1-12-1-1-12-1-122-1-12-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-2-2-2-20011111111000022-1-1-1-100000-20011110000000000
χ2422222-1222222-12-1-1-12-1-1-12-1-122-1-12-2-2-2-2-2-211112-1-1-1-1-1-1-122-2-2001111-1-1-1-10000-2-211110000020011-1-10000000000
χ2522222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-2222200−i3i3−i3i3-2111-1-11100-2-200-1-1-1-1−i3−i3i3i3000000−i3i3−i3i30000000011−i3i30000000000
χ2622222-122-2-222-12-1-1-1-2-1-1-1-21122-1-1-2222200i3−i3i3−i3-2111-1-11100-2-200-1-1-1-1i3i3−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−i3i3-2111-1-1110022001111i3i3−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−i3-2111-1-1110022001111−i3−i3i3i3000000i3−i3i3−i300000000-1-1−i3i30000000000
χ2922222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-211222-2-22-2-1-111-21-1-11111222-200-1-111-1-1-1-100002-2-1-11100000-200-11110000000000
χ3022222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-211222-2-2-2211-1-1-21-1-11111-2-22-200-1-11111110000-2211-1-100000200-11-1-10000000000
χ3122222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-2112-2-2222-2-1-111-21-1-11111-2-2-220011-1-1111100002-2-1-111000002001-1-1-10000000000
χ3222222-1-2-22222-12-1-1-1-2-1-1-12-1-1-2-2112-2-222-2211-1-1-21-1-1111122-220011-1-1-1-1-1-10000-2211-1-100000-2001-1110000000000
χ3322222-1-2-2-2-222-12-1-1-12-1-1-1-211-2-211-222-2-200−i3i3i3−i32-11111-1-100-2200-1-111−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−i3i32-11111-1-100-2200-1-111i3i3−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−i32-11111-1-1002-20011-1-1i3i3−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−i3i32-11111-1-1002-20011-1-1−i3−i3i3i3000000i3−i3−i3i300000000-11i3−i30000000000
χ372222-122222-1-12-122-12-1-1-1-122-1-122-10000222222-12-1-1-1-1-1-1000022000000002222-1-1-1-1-1-1000020-1-10000-1-1-1-1-1-10000
χ382222-122222-1-12-122-12-1-1-1-122-1-122-10000222222-12-1-1-1-1-1-10000-2-200000000-2-2-2-2-1-1-1-1-1-10000-201100001111110000
χ392222-122222-1-12-122-12-1-1-1-122-1-122-10000-2-2-2-2-2-2-12-1-1-1-1-1-100002200000000-2-2-2-2111111000020-1-10000-1-111110000
χ402222-122222-1-12-122-12-1-1-1-122-1-122-10000-2-2-2-2-2-2-12-1-1-1-1-1-10000-2-20000000022221111110000-2011000011-1-1-1-10000
χ412222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-100002-222-2-21-2-1-111110000220000000022-2-2-11-1-1110000-20110000-1-1-1-1110000
χ422222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-100002-222-2-21-2-1-111110000-2-200000000-2-222-11-1-111000020-1-100001111-1-10000
χ432222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-10000-22-2-2221-2-1-1111100002200000000-2-2221-111-1-10000-20110000-1-111-1-10000
χ442222-12-2-222-1-12-122-1-2-1-1-1-12211-2-2-10000-22-2-2221-2-1-111110000-2-20000000022-2-21-111-1-1000020-1-1000011-1-1110000
χ452-22-222002-22-2-2-22-2202-2-222-20000-20000000000002-200002-2002i−2i00002-22-200000000002i2i−2i−2i000000002i−2i00000000
χ462-22-222002-22-2-2-22-2202-2-222-20000-20000000000002-200002-200−2i2i00002-22-20000000000−2i−2i2i2i00000000−2i2i00000000
χ472-22-222002-22-2-2-22-2202-2-222-20000-20000000000002-20000-22002i−2i0000-22-220000000000−2i−2i2i2i000000002i−2i00000000
χ482-22-222002-22-2-2-22-2202-2-222-20000-20000000000002-20000-2200−2i2i0000-22-2200000000002i2i−2i−2i00000000−2i2i00000000
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
χ6744-4-4440000-444-4-4-440-4-4400000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ6844-4-4440000-444-4-4-440-4-44000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ694-44-44400-444-4-4-44-4404-4-4-4-4400004000000000000-4400000000000000000000000000000000000000000000000000
χ704-44-44-2004-44-42-4-22-20-2224-220000-4000000000000-2200004-400000000-22-2200000000000000000000000000000000
χ714-44-44-2004-44-42-4-22-20-2224-220000-4000000000000-220000-44000000002-22-200000000000000000000000000000000
χ724-44-44-200-444-42-4-22-20-222-42-2000040000000000002-200000000000000−2i32i32i3−2i300000000000000000000000000000000
χ734-44-44-200-444-42-4-22-20-222-42-2000040000000000002-2000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ744-44-4-24004-4-22-424-4-20-222-24-400002000000000000-22000000004i−4i000000000000000000000000000000−2i2i00000000
χ754-44-4-24004-4-22-424-4-20-222-24-400002000000000000-2200000000−4i4i0000000000000000000000000000002i−2i00000000
χ764-44-4-2400-44-22-424-4-20-2222-440000-20000000000002-20000000000000000000000000000000000−2i32i300000000000000
χ774-44-4-2400-44-22-424-4-20-2222-440000-20000000000002-200000000000000000000000000000000002i3−2i300000000000000
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
χ908-88-8-4-4008-8-4444-44202-2-2-4-44000040000000000002-200000000000000000000000000000000000000000000000000
χ918-88-8-4-400-88-4444-44202-2-244-40000-4000000000000-2200000000000000000000000000000000000000000000000000
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).