Finite Group Databasebeta

← Group #11883946

Character table — Group #11883946

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666663444466612121212121212121212121212121212121222412121212121212121212121212121212121212222446688121224466666812121212122424242488228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1111-11-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-111-1-1-11-111-1-1-1111-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-111111111111-1-1-1-111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-11-1111-1-1-1111-1-1-1-1-1-1-1-111-1
χ611111111111111111-1-111111111111-1-1-1-111111111-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-11-1-11-1-11-1-1111111-1-11
χ711111111111111111-1-111111111111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-111-111-1-1-1-111-1-11
χ811111111111111111-1-111111111111-1-1-1-1111111-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-1-1-1111-1-1-1111111-1-111-1
χ9111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1111-11111-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1
χ10111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1-1111111-1-111-1-1-111
χ11111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-11-1-111111-1-111111-1-1-1-1-1-111-1-1-1-1-111
χ12111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-1-11-1-1-1-11111-1-1-1111111-1-1-1-1-111111-1-1
χ13111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-11111-1111-111-1-1-1-11-1-111-1111-1-11-1-1-1-111-1-11-11
χ14111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-1-1-11111-1-1-11-11111-1-111-1-1-1-111-1111-1-111-1-111-11-1
χ15111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-11111111-11-1-1-1-111-1-11111-1-11-1-1-111-1-11111-11-1
χ16111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1111111-1-1-1-1-1-111111-1-1-11-1-11111-111-1-11-1-1-111-11111-1-1-1-11-11
χ17222222-2-222222222-2002222222-2-2-2-200002222-2-2220-2000000-2-2-2-200000000-200-2222002200000-200000-200000000000
χ18222222-2-222222222-2002222222-2-2-2-200002222-2-2-2-20-2000000-2-2-2-2000000002002-2-2-200-2-200000200000200000000000
χ19222222-2-22222222-2200222-2-2-2-222-2-20000-2-2-2-2-2-22202000000-2-22200000000200-2-22200-2-200000200000-200000000000
χ20222222-2-22222222-2200222-2-2-2-222-2-20000-2-2-2-2-2-2-2-202000000-2-22200000000-20022-2-2002200000-200000200000000000
χ2122222-1222-12-12-1-12222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-120022-1-100-1-120200-1-1-1000-1-1-1000000000
χ2222222-1222-12-12-1-12222-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-2-22-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-200-2-2110011-20-200111000111000000000
χ2322222-1222-12-12-1-122-2-2-1-1-122-1-122-1-11111-1-1-1-12222-2-1-2-211-2-2-1-1-1-11111111120022-1-100-1-1-20-200-111000-111000000000
χ2422222-1222-12-12-1-122-2-2-1-1-122-1-122-1-11111-1-1-1-122-2-2-2-1-2-211-2-2-1-1-1-111111111-200-2-2110011202001-1-10001-1-1000000000
χ2522222-1222-12-12-1-1-2-222-1-1-1-2-211-2-2-1-1-1-1-1-111112222-212211-2-2-1-111-1-1-1-11111-2002-2-1-10011-20200111000-1-1-1000000000
χ2622222-1222-12-12-1-1-2-222-1-1-1-2-211-2-2-1-1-1-1-1-1111122-2-2-212211-2-2-1-111-1-1-1-11111200-221100-1-120-200-1-1-1000111000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-1-2-211-2-2-1-111111111222221-2-2-1-122-1-1111111-1-1-1-1-2002-2-1-1001120-2001-1-1000-111000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-1-2-211-2-2-1-11111111122-2-221-2-2-1-122-1-1111111-1-1-1-1200-221100-1-1-20200-1110001-1-1000000000
χ2922222-1-2-22-12-12-1-12-200-1-1-122-1-1-2-211−i3−i3i3i3-1-1-1-1-2-2220100−i3i3001111−i3−i3i3i3−i3−i3i3i3-200-22-1-100-1-1000001−i3i30001−i3i3000000000
χ3022222-1-2-22-12-12-1-12-200-1-1-122-1-1-2-211−i3−i3i3i3-1-1-1-1-2-2-2-20100−i3i3001111−i3−i3i3i3−i3−i3i3i32002-211001100000-1i3−i3000-1i3−i3000000000
χ3122222-1-2-22-12-12-1-12-200-1-1-122-1-1-2-211i3i3−i3−i3-1-1-1-1-2-2220100i3−i3001111i3i3−i3−i3i3i3−i3−i3-200-22-1-100-1-1000001i3−i30001i3−i3000000000
χ3222222-1-2-22-12-12-1-12-200-1-1-122-1-1-2-211i3i3−i3−i3-1-1-1-1-2-2-2-20100i3−i3001111i3i3−i3−i3i3i3−i3−i32002-211001100000-1−i3i3000-1−i3i3000000000
χ3322222-1-2-22-12-12-1-1-2200-1-1-1-2-2112211−i3−i3i3i31111-2-2220-100i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3200-2-2-1-1001100000-1i3−i30001−i3i3000000000
χ3422222-1-2-22-12-12-1-1-2200-1-1-1-2-2112211−i3−i3i3i31111-2-2-2-20-100i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3-200221100-1-1000001−i3i3000-1i3−i3000000000
χ3522222-1-2-22-12-12-1-1-2200-1-1-1-2-2112211i3i3−i3−i31111-2-2220-100−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3200-2-2-1-1001100000-1−i3i30001i3−i3000000000
χ3622222-1-2-22-12-12-1-1-2200-1-1-1-2-2112211i3i3−i3−i31111-2-2-2-20-100−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3-200221100-1-1000001i3−i3000-1−i3i3000000000
χ372222-1222-12-12-12-12222-1-1-1-1-122-1-1222222-1-1-1-1-1-10022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-102200002200020-1-10002-1-1000-1-1-1-100000
χ382222-1222-12-12-12-12222-1-1-1-1-122-1-1222222-1-1-1-1-1-10022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-20000-2-2000-2011000-211000111100000
χ392222-1222-12-12-12-122-2-2-1-1-1-1-122-1-122-2-2-2-2-1-1-1-1-1-100-2211-2-211-1-1-1-1111111110220000-2-200020-1-1000-2-1-1000111100000
χ402222-1222-12-12-12-122-2-2-1-1-1-1-122-1-122-2-2-2-2-1-1-1-1-1-100-2211-2-211-1-1-1-1111111110-2-2000022000-2011000211000-1-1-1-100000
χ412222-1222-12-12-12-1-2-222-1-1-111-2-2112222221111-1-100-2-2-1-1-2-211-1-111-1-1-1-11111022000022000-20-1-1000-211000-1-11100000
χ422222-1222-12-12-12-1-2-222-1-1-111-2-2112222221111-1-100-2-2-1-1-2-211-1-111-1-1-1-111110-2-20000-2-200020110002-1-100011-1-100000
χ432222-1222-12-12-12-1-2-2-2-2-1-1-111-2-21122-2-2-2-21111-1-1002-21122-1-1-1-1111111-1-1-1-10220000-2-2000-20-1-100021100011-1-100000
χ442222-1222-12-12-12-1-2-2-2-2-1-1-111-2-21122-2-2-2-21111-1-1002-21122-1-1-1-1111111-1-1-1-10-2-20000220002011000-2-1-1000-1-11100000
χ452-2-2222-22-2-22-2-222002-2-22-20000002-22-22-200002-200002-200002-2002-22-2000002-200002-2000002-20000000002-20000000
χ462-2-2222-22-2-22-2-222002-2-22-20000002-22-22-200002-200002-200002-2002-22-200000-220000-2200000-22000000000-220000000
χ472-2-2222-22-2-22-2-22200-22-22-20000002-2-22-2200002-20000-2200002-200-22-22000002-20000-22000002-2000000000-220000000
χ482-2-2222-22-2-22-2-22200-22-22-20000002-2-22-2200002-20000-2200002-200-22-2200000-2200002-200000-220000000002-20000000
χ492-2-22-12-221-2-1-212-1002-21-113−3003−32-22-22-233−3−3-110000-11003−3-113−3-11-113−33−302-200002-200000-1100003−3000-113−300000
χ502-2-22-12-221-2-1-212-1002-21-113−3003−32-22-22-233−3−3-110000-11003−3-113−3-11-113−33−30-220000-22000001-10000−330001-1−3300000
χ512-2-22-12-221-2-1-212-1002-21-11−3300−332-22-22-2−3−333-110000-1100−33-11−33-11-11−33−3302-200002-200000-110000−33000-11−3300000
χ522-2-22-12-221-2-1-212-1002-21-11−3300−332-22-22-2−3−333-110000-1100−33-11−33-11-11−33−330-220000-22000001-100003−30001-13−300000
χ532-2-22-12-221-2-1-212-100-221-113−3003−32-2-22-2233−3−3-1100001-100−33-113−31-11-1−33−3302-20000-2200000-1100003−30001-1−3300000
χ542-2-22-12-221-2-1-212-100-221-113−3003−32-2-22-2233−3−3-1100001-100−33-113−31-11-1−33−330-2200002-2000001-10000−33000-113−300000
χ552-2-22-12-221-2-1-212-100-221-11−3300−332-2-22-22−3−333-1100001-1003−3-11−331-11-13−33−302-20000-2200000-110000−330001-13−300000
χ562-2-22-12-221-2-1-212-100-221-11−3300−332-2-22-22−3−333-1100001-1003−3-11−331-11-13−33−30-2200002-2000001-100003−3000-11−3300000
χ574444-24-4-4-24-24-24-24-400-2-2-2-2-24422-4-40000-2-2-2-222000-40000002222000000000000000000000000000000000000000000
χ584444-24-4-4-24-24-24-2-4400-2-2-222-4-4-2-2-4-40000222222000400000022-2-2000000000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-2-2-2-2-2-21111-2-2004-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2144-4-4111-2-2-2-2-2-2-2-222221111-2-200-4-22222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21-4-444111222222-2-2-2-2-2-2-1-1-1-1-2-200-42-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-4111222222-2-22222-1-1-1-1-2-2004222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-22222−2i3−2i32i32i3111122000200−2i32i300-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-214-400111-2-2-2-222222i32i3−2i3−2i31111220002002i3−2i300-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-21-44001112222-2-222−2i3−2i32i32i3-1-1-1-122000-2002i3−2i300-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-21-44001112222-2-2222i32i3−2i3−2i3-1-1-1-122000-200−2i32i300-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ6744-4-4440044-4-4-4-4400004-4-4000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-4440044-4-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-44400-4-4-444-440000-4-440000000000000000004-400000000000000000000000004-4000000000000000000000000000
χ704-44-44400-4-4-444-440000-4-44000000000000000000-440000000000000000000000000-44000000000000000000000000000
χ714-44-44-200-42-4-242-2000022-20023−230000000023−2323−23004-40000000000000000000000000-220023−2300000000000000000000000
χ724-44-44-200-42-4-242-2000022-20023−230000000023−2323−2300-4400000000000000000000000002-200−232300000000000000000000000
χ734-44-44-200-42-4-242-2000022-200−232300000000−2323−2323004-40000000000000000000000000-2200−232300000000000000000000000
χ744-44-44-200-42-4-242-2000022-200−232300000000−2323−232300-4400000000000000000000000002-20023−2300000000000000000000000
χ754-4-44444-4-4-44-4-4440000-44-4000000-4400000000-440000000000-4400000000000000000000000000000000000000000000
χ764-4-444-24-4-4242-4-2-200002-220000002-2−2i32i32i3−2i30000-4400000000002-200−2i32i32i3−2i300000000000000000000000000000000000000
χ774-4-444-24-4-4242-4-2-200002-220000002-22i3−2i3−2i32i30000-4400000000002-2002i3−2i3−2i32i300000000000000000000000000000000000000
χ784-4-444-2-44-4242-4-2-2004-42-22000000-22-22-2200004-400004-40000-2200-22-2200000000000000000000000000000000000000
χ794-4-444-2-44-4242-4-2-200-442-22000000-222-22-200004-40000-440000-22002-22-200000000000000000000000000000000000000
χ804-4-44-244-42-4-2-424-200002-2223−2300−2323-4400002323−23−232-200000000002-2−2323000000000000000000000000000000000000000000
χ814-4-44-244-42-4-2-424-200002-22−23230023−23-440000−23−2323232-200000000002-223−23000000000000000000000000000000000000000000
χ824-4-44-2-24-422-222-210000-11-123−2300−23232-2−2i32i32i3−2i3−3−3332-20000000000-113−3i3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000000
χ834-4-44-2-24-422-222-210000-11-123−2300−23232-22i3−2i3−2i32i3−3−3332-20000000000-113−3−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000000
χ844-4-44-2-24-422-222-210000-11-1−23230023−232-2−2i32i32i3−2i333−3−32-20000000000-11−33i3−i3−i3i33i−3i−3i3i0000000000000000000000000000000000
χ854-4-44-2-24-422-222-210000-11-1−23230023−232-22i3−2i3−2i32i333−3−32-20000000000-11−33−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000000
χ864-4-44-2-2-4422-222-21004-4-11-123−230023−23-22-22-22−3−333-220000-220023−231-1−331-11-1−33−330000000000000000000000000000000000
χ874-4-44-2-2-4422-222-21004-4-11-1−232300−2323-22-22-2233−3−3-220000-2200−23231-13−31-11-13−33−30000000000000000000000000000000000
χ884-4-44-2-2-4422-222-2100-44-11-123−230023−23-222-22-2−3−333-2200002-200−23231-1−33-11-113−33−30000000000000000000000000000000000
χ894-4-44-2-2-4422-222-2100-44-11-1−232300−2323-222-22-233−3−3-2200002-20023−231-13−3-11-11−33−330000000000000000000000000000000000
χ9088-8-88-4008-4-84-84-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4800-484-84-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4-44444200002-2-20000000000006-6-660000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-4-44444200002-2-2000000000000-666-60000000000000000000000000000000000000000000000000000000000
χ948-88-8-48004-848-4-8-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400444-4-4420000-2-220043−4300000000−2323−23230000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400444-4-4420000-2-2200−43430000000023−2323−230000000000000000000000000000000000000000000000000000000000

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