Finite Group Databasebeta

← Group #11889285

Character table — Group #11889285

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666663444466612121212121212121212121212121212121244412121212121212121212121212121212121212222248812121212444666681212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-111-111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-111-11111-1-1-11-11-111-1-1-111-1-111-1-111-11-1
χ611111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-111-1-111-11-1-1-111111-1-1-1-111-1-11-11
χ711111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1111111-1-111-1-11-1111-1-1-1-1-11111-1-1-1-11-11
χ811111111111111111-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11-1-11-1-1-1-1111-11-11-1-1111-1-111-1-11111-11-1
χ9111111111111111-1-11111111-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-111111-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ10111111111111111-1-11111111-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111111-1-1-111-1-11-1-1-1-1-1-1111111-1-11
χ11111111111111111-1-11111111-1-1-1-1111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-1111111-1-1-1-111-1-11
χ12111111111111111-1-11111111-1-1-1-1111111111111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-1-111111111-1-111-1
χ13111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-1-1-111111-111-1-1-111-1-1-1-111-1111-1-1-1-111-1-111-1-1-111
χ14111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-11-111-1-1-1-111-1-11111-1-1111-1-1
χ15111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-111-1-11111-1-1-1-1-1-11111-11111-1-1-1-111-11-1-11111-1-111-1-1-1-111111-1-1
χ16111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11-111-1-11111-1-1-1-1-1-11111-11-1-1111-1-11111-1-11-1-1-11111-1-111-1-1-1-1-111
χ17222222-2-22222222002-2222-2-20000-2-222-2-2-2-2-2-2-2-22202000000-2-20000220000-2200-20022-2-2000-22000000000000000000
χ18222222-2-22222222002-2222-2-20000-2-222-2-2-2-2-2-2-2-2-2-202000000-2-200002200002-200200-2-2220002-2000000000000000000
χ19222222-2-2222222200-22222220000-2-2-2-2222222-2-2220-2000000-2-20000-2-20000-2-2002002222000-2-2000000000000000000
χ20222222-2-2222222200-22222220000-2-2-2-2222222-2-2-2-20-2000000-2-20000-2-200002200-200-2-2-2-200022000000000000000000
χ2122222-12222-12-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200200-1-1-1-1022-1-100000-1-1-1-1000000000
χ2222222-12222-12-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-22-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-20011110-2-211000001111000000000
χ2322222-12222-12-1-1-122-2-2-1-1-1-2-2-1-1-1-1-1-1-2-21111112222-21-2-22211-1-1-1-1-1-11111112-200-200-1-11102-2-1100000-1-111000000000
χ2422222-12222-12-1-1-122-2-2-1-1-1-2-2-1-1-1-1-1-1-2-211111122-2-2-21-2-22211-1-1-1-1-1-1111111-220020011-1-10-221-10000011-1-1000000000
χ2522222-12222-12-1-1-1-2-222-1-1-1221111-1-122-1-1-1-1-1-12222-2-1-2-2-2-211-1-11111-1-111112200200-1-1-1-10-2-2-1-1000001111000000000
χ2622222-12222-12-1-1-1-2-222-1-1-1221111-1-122-1-1-1-1-1-122-2-2-2-1-2-2-2-211-1-11111-1-11111-2-200-20011110221100000-1-1-1-1000000000
χ2722222-12222-12-1-1-1-2-2-2-2-1-1-1-2-21111-1-1-2-211111122222122-2-2-1-1-1-1111111-1-1-1-12-200-200-1-1110-22-110000011-1-1000000000
χ2822222-12222-12-1-1-1-2-2-2-2-1-1-1-2-21111-1-1-2-211111122-2-22122-2-2-1-1-1-1111111-1-1-1-1-220020011-1-102-21-100000-1-111000000000
χ2922222-1-2-222-12-1-1-1002-2-1-1-1-2-2−i3−i3i3i31122111111-2-2220-10000−i3i311−i3−i3i3i3-1-1−i3−i3i3i3-2200-200-1-1110001-100000−i3i3−i3i3000000000
χ3022222-1-2-222-12-1-1-1002-2-1-1-1-2-2−i3−i3i3i31122111111-2-2-2-20-10000−i3i311−i3−i3i3i3-1-1−i3−i3i3i32-20020011-1-1000-1100000i3−i3i3−i3000000000
χ3122222-1-2-222-12-1-1-1002-2-1-1-1-2-2i3i3−i3−i31122111111-2-2220-10000i3−i311i3i3−i3−i3-1-1i3i3−i3−i3-2200-200-1-1110001-100000i3−i3i3−i3000000000
χ3222222-1-2-222-12-1-1-1002-2-1-1-1-2-2i3i3−i3−i31122111111-2-2-2-20-10000i3−i311i3i3−i3−i3-1-1i3i3−i3−i32-20020011-1-1000-1100000−i3i3−i3i3000000000
χ3322222-1-2-222-12-1-1-100-22-1-1-122−i3−i3i3i311-2-2-1-1-1-1-1-1-2-222010000i3−i311−i3−i3i3i311i3i3−i3−i3-2-200200-1-1-1-10001100000−i3i3i3−i3000000000
χ3422222-1-2-222-12-1-1-100-22-1-1-122−i3−i3i3i311-2-2-1-1-1-1-1-1-2-2-2-2010000i3−i311−i3−i3i3i311i3i3−i3−i32200-2001111000-1-100000i3−i3−i3i3000000000
χ3522222-1-2-222-12-1-1-100-22-1-1-122i3i3−i3−i311-2-2-1-1-1-1-1-1-2-222010000−i3i311i3i3−i3−i311−i3−i3i3i3-2-200200-1-1-1-10001100000i3−i3−i3i3000000000
χ3622222-1-2-222-12-1-1-100-22-1-1-122i3i3−i3−i311-2-2-1-1-1-1-1-1-2-2-2-2010000−i3i311i3i3−i3−i311−i3−i3i3i32200-2001111000-1-100000−i3i3i3−i3000000000
χ372222-1222-1-12-122-12222-1-1-1-1-1222222-1-122-1-1-1-1-1-10022-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10022022000020000-1-12-1-10000-1-1-1-100000
χ382222-1222-1-12-122-12222-1-1-1-1-1222222-1-122-1-1-1-1-1-10022-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-20-2-20000-2000011-2110000111100000
χ392222-1222-1-12-122-122-2-2-1-1-11122222211-2-21111-1-100-2-211-1-1-2-2-1-1-1-1-1-111111100220220000-20000-1-1-2110000-1-11100000
χ402222-1222-1-12-122-122-2-2-1-1-11122222211-2-21111-1-100-2-211-1-1-2-2-1-1-1-1-1-111111100-2-20-2-2000020000112-1-1000011-1-100000
χ412222-1222-1-12-122-1-2-222-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-100-221111-2-2-1-11111-1-1111100220-2-2000020000-1-1-2-1-10000111100000
χ422222-1222-1-12-122-1-2-222-1-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-100-221111-2-2-1-11111-1-1111100-2-20220000-20000112110000-1-1-1-100000
χ432222-1222-1-12-122-1-2-2-2-2-1-1-111-2-2-2-22211-2-21111-1-1002-2-1-11122-1-1111111-1-1-1-100220-2-20000-20000-1-1211000011-1-100000
χ442222-1222-1-12-122-1-2-2-2-2-1-1-111-2-2-2-22211-2-21111-1-1002-2-1-11122-1-1111111-1-1-1-100-2-202200002000011-2-1-10000-1-11100000
χ452-2-22222-2-22-2-22-222i−2i00-22-2002i−2i2i−2i2-2000000002-20000002i−2i002-22i−2i2i−2i000000002-202i−2i0000000002-200000002i−2i0000000
χ462-2-22222-2-22-2-22-222i−2i00-22-2002i−2i2i−2i2-2000000002-20000002i−2i002-22i−2i2i−2i00000000-220−2i2i000000000-220000000−2i2i0000000
χ472-2-22222-2-22-2-22-22−2i2i00-22-200−2i2i−2i2i2-2000000002-2000000−2i2i002-2−2i2i−2i2i000000002-20−2i2i0000000002-20000000−2i2i0000000
χ482-2-22222-2-22-2-22-22−2i2i00-22-200−2i2i−2i2i2-2000000002-2000000−2i2i002-2−2i2i−2i2i00000000-2202i−2i000000000-2200000002i−2i0000000
χ492-2-22-122-21-1-212-2-12i−2i001-113−32i−2i2i−2i2-23−30033−3−3-110000−i3i3−ii00-11−ii−ii3−3−i3i3−i3i3002-202i−2i000000000-1103−30000−ii−i3i300000
χ502-2-22-122-21-1-212-2-12i−2i001-113−32i−2i2i−2i2-23−30033−3−3-110000−i3i3−ii00-11−ii−ii3−3−i3i3−i3i300-220−2i2i0000000001-10−330000i−ii3−i300000
χ512-2-22-122-21-1-212-2-12i−2i001-11−332i−2i2i−2i2-2−3300−3−333-110000i3−i3−ii00-11−ii−ii−33i3−i3i3−i3002-202i−2i000000000-110−330000−iii3−i300000
χ522-2-22-122-21-1-212-2-12i−2i001-11−332i−2i2i−2i2-2−3300−3−333-110000i3−i3−ii00-11−ii−ii−33i3−i3i3−i300-220−2i2i0000000001-103−30000i−i−i3i300000
χ532-2-22-122-21-1-212-2-1−2i2i001-113−3−2i2i−2i2i2-23−30033−3−3-110000i3−i3i−i00-11i−ii−i3−3i3−i3i3−i3002-20−2i2i000000000-1103−30000i−ii3−i300000
χ542-2-22-122-21-1-212-2-1−2i2i001-113−3−2i2i−2i2i2-23−30033−3−3-110000i3−i3i−i00-11i−ii−i3−3i3−i3i3−i300-2202i−2i0000000001-10−330000−ii−i3i300000
χ552-2-22-122-21-1-212-2-1−2i2i001-11−33−2i2i−2i2i2-2−3300−3−333-110000−i3i3i−i00-11i−ii−i−33−i3i3−i3i3002-20−2i2i000000000-110−330000i−i−i3i300000
χ562-2-22-122-21-1-212-2-1−2i2i001-11−33−2i2i−2i2i2-2−3300−3−333-110000−i3i3i−i00-11i−ii−i−33−i3i3−i3i300-2202i−2i0000000001-103−30000−iii3−i300000
χ574444-24-4-4-2-24-244-2004-4-2-2-2220000-4-4-2-2-4-42222220004000000220000-2-200000000000000000000000000000000000000
χ584444-24-4-4-2-24-244-200-44-2-2-2-2-20000-4-42244-2-2-2-222000-40000002200002200000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-2144-4-411122-2-2-2-2-2-22222-1-1-1-1-2-200-4222-2-222111111-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21-4-444111-2-22222-2-2-2-2-2-21111-2-200-4-222222211-1-1-1-111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-21-4-4-4-4111222222-2-22222-1-1-1-1-2-20042-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-21004-411122−2i3−2i32i32i322-2-222-1-1-1-122000-20000−2i32i3-1-1i3i3−i3−i311i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-21004-4111222i32i3−2i3−2i322-2-222-1-1-1-122000-200002i3−2i3-1-1−i3−i3i3i311−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2100-44111-2-2−2i3−2i32i32i32222-2-2111122000200002i3−2i3-1-1i3i3−i3−i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2100-44111-2-22i32i3−2i3−2i32222-2-211112200020000−2i32i3-1-1−i3−i3i3i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ6744-4-44400-4-444-4-440000-4-44000000000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-44400-4-444-4-440000-4-440000000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-444004-4-4-4-44400004-4-40000000000000000004i−4i0000000000000000000000000004i−4i0000000000000000000000000
χ704-44-444004-4-4-4-44400004-4-4000000000000000000−4i4i000000000000000000000000000−4i4i0000000000000000000000000
χ714-44-44-2004-42-42-2-20000-2220000000000−2i32i3−2i32i3−2i32i3004i−4i000000000000000000000000000−2i2i23−2300000000000000000000000
χ724-44-44-2004-42-42-2-20000-2220000000000−2i32i3−2i32i3−2i32i300−4i4i0000000000000000000000000002i−2i−232300000000000000000000000
χ734-44-44-2004-42-42-2-20000-22200000000002i3−2i32i3−2i32i3−2i3004i−4i000000000000000000000000000−2i2i−232300000000000000000000000
χ744-44-44-2004-42-42-2-20000-22200000000002i3−2i32i3−2i32i3−2i300−4i4i0000000000000000000000000002i−2i23−2300000000000000000000000
χ754-4-4444-44-44-4-44-440000-44-4000000-4400000000-440000000000-4400000000000000000000000000000000000000000000
χ764-4-444-24-4-442-4-22-24i−4i002-2200−2i2i−2i2i-22000000004-40000004i−4i00-22−2i2i−2i2i0000000000000000000000000000000000000000
χ774-4-444-24-4-442-4-22-2−4i4i002-22002i−2i2i−2i-22000000004-4000000−4i4i00-222i−2i2i−2i0000000000000000000000000000000000000000
χ784-4-444-2-44-442-4-22-200002-220023−23−23232-200000000-4400000000002-223−23−23230000000000000000000000000000000000000000
χ794-4-444-2-44-442-4-22-200002-2200−232323−232-200000000-4400000000002-2−232323−230000000000000000000000000000000000000000
χ804-4-44-24-442-2-424-4-200002-2223−230000-44−2323002323−23−232-200000000002-20000−232300000000000000000000000000000000000000
χ814-4-44-24-442-2-424-4-200002-22−23230000-4423−2300−23−2323232-200000000002-2000023−2300000000000000000000000000000000000000
χ824-4-44-2-24-42-222-2214i−4i00-11-123−23−2i2i−2i2i-2223−2300−3−333-220000−2i32i3−2i2i001-1i−ii−i−33i3−i3i3−i30000000000000000000000000000000000
χ834-4-44-2-24-42-222-2214i−4i00-11-1−2323−2i2i−2i2i-22−23230033−3−3-2200002i3−2i3−2i2i001-1i−ii−i3−3−i3i3−i3i30000000000000000000000000000000000
χ844-4-44-2-24-42-222-221−4i4i00-11-123−232i−2i2i−2i-2223−2300−3−333-2200002i3−2i32i−2i001-1−ii−ii−33−i3i3−i3i30000000000000000000000000000000000
χ854-4-44-2-24-42-222-221−4i4i00-11-1−23232i−2i2i−2i-22−23230033−3−3-220000−2i32i32i−2i001-1−ii−ii3−3i3−i3i3−i30000000000000000000000000000000000
χ864-4-44-2-2-442-222-2210000-11-123−2323−23−23232-2−232300−3−3332-20000000000-11−333−33−33-3-330000000000000000000000000000000000
χ874-4-44-2-2-442-222-2210000-11-123−23−232323−232-2−232300−3−3332-20000000000-113−3−333−3-333-30000000000000000000000000000000000
χ884-4-44-2-2-442-222-2210000-11-1−232323−23−23232-223−230033−3−32-20000000000-11−333−3−33-333-30000000000000000000000000000000000
χ894-4-44-2-2-442-222-2210000-11-1−2323−232323−232-223−230033−3−32-20000000000-113−3−33−333-3-330000000000000000000000000000000000
χ9088-8-88-400-8-8-4844-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4800448-4-8-8-4000044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-40044-4-44420000-2-220000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-40044-4-44420000-2-22000000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ948-88-8-4800-44-84-88-40000-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-400-44444-4200002-2-20000000000−4i34i32i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400-44444-4200002-2-200000000004i3−4i3−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000

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