Finite Group Databasebeta

← Group #11895854

Character table — Group #11895854

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order122233446666662234466666661212121212121212121212121212444666666121212121212121212121212124444488121212124448121212121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1-1
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
χ511111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-11-1-1111111-1-1-11-1-11-1-1-11111-1-111-1-1111-1-1
χ611111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-111-111-111-1-111-1-1-1-111-1-1-111
χ711111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-11-1-11-1-111-1-11111-1-1-1-1-111
χ811111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111-111-1111-1-1-1-111-1-111111-1-1
χ911111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-1-111111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1
χ1011111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-11
χ1111111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-111111111-1-1-1-111-1-11
χ1211111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-111111111-1-111-1
χ1311111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-111111-1-111-1-111-1-1-1-1111-1-1-111-1-111-1-111-1-11-11
χ1411111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-111111-1-1-1-11111-1-11-11-11-111-1-1-1-11111-1-111-11-1
χ1511111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-11111-11111-1-1-1-111-11-11-11-1-11111-1-1-1-11111-11-1
χ1611111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-11111-111-1-111-1-11111-1-1-1111-1-111-1-111-1-1-1-11-11
χ17222222-2-22222220022-20000222-2-222-2-2-2-2-2-2-2-2-2-222000000020000-2-2220000-22-2000022-2-20000-2200000000000000000
χ18222222-2-22222220022-20000222-2-222-2-2-2-2-2-2-2-2-2-2-2-2000000020000-2-22200002-220000-2-22200002-200000000000000000
χ19222222-2-2222222002-220000222-2-2-2-222222222-2-2220000000-20000-2-2-2-20000-2-22000022220000-2-200000000000000000
χ20222222-2-2222222002-220000222-2-2-2-222222222-2-2-2-20000000-20000-2-2-2-2000022-20000-2-2-2-200002200000000000000000
χ2122222-1222-12-12-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12220000-1-1-1-10220-1-10000-1-1-1-1000000000
χ2222222-1222-12-12-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2000011110-2-201100001111000000000
χ2322222-1222-12-12-122-1-2-2-1-1-1-1-1-1-1-1-1-2-2-2-21111112222-222-1-1-1-11-2-211-1-11111112-2-20000-1-11102-20-110000-1-111000000000
χ2422222-1222-12-12-122-1-2-2-1-1-1-1-1-1-1-1-1-2-2-2-211111122-2-2-222-1-1-1-11-2-211-1-1111111-222000011-1-10-2201-1000011-1-1000000000
χ2522222-1222-12-12-1-2-2-1221111-1-1-1-1-12222-1-1-1-1-1-12222-2-2-21111-1-2-211-1-1-1-111112220000-1-1-1-10-2-20-1-100001111000000000
χ2622222-1222-12-12-1-2-2-1221111-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2-21111-1-2-211-1-1-1-11111-2-2-2000011110220110000-1-1-1-1000000000
χ2722222-1222-12-12-1-2-2-1-2-21111-1-1-1-1-1-2-2-2-211111122222-2-21111122-1-1-1-111-1-1-1-12-2-20000-1-1110-220-11000011-1-1000000000
χ2822222-1222-12-12-1-2-2-1-2-21111-1-1-1-1-1-2-2-2-211111122-2-22-2-21111122-1-1-1-111-1-1-1-1-222000011-1-102-201-10000-1-111000000000
χ2922222-1-2-22-12-12-100-12-2−i3−i3i3i3-1-1-11122-2-2111111-2-222000−i3−i3i3i3-100−i3i311-1-1−i3−i3i3i3-22-20000-1-11100001-10000−i3i3−i3i3000000000
χ3022222-1-2-22-12-12-100-12-2−i3−i3i3i3-1-1-11122-2-2111111-2-2-2-2000−i3−i3i3i3-100−i3i311-1-1−i3−i3i3i32-22000011-1-10000-110000i3−i3i3−i3000000000
χ3122222-1-2-22-12-12-100-12-2i3i3−i3−i3-1-1-11122-2-2111111-2-222000i3i3−i3−i3-100i3−i311-1-1i3i3−i3−i3-22-20000-1-11100001-10000i3−i3i3−i3000000000
χ3222222-1-2-22-12-12-100-12-2i3i3−i3−i3-1-1-11122-2-2111111-2-2-2-2000i3i3−i3−i3-100i3−i311-1-1i3i3−i3−i32-22000011-1-10000-110000−i3i3−i3i3000000000
χ3322222-1-2-22-12-12-100-1-22−i3−i3i3i3-1-1-111-2-222-1-1-1-1-1-1-2-222000−i3−i3i3i3100i3−i31111i3i3−i3−i3-2-220000-1-1-1-10000110000−i3i3i3−i3000000000
χ3422222-1-2-22-12-12-100-1-22−i3−i3i3i3-1-1-111-2-222-1-1-1-1-1-1-2-2-2-2000−i3−i3i3i3100i3−i31111i3i3−i3−i322-2000011110000-1-10000i3−i3−i3i3000000000
χ3522222-1-2-22-12-12-100-1-22i3i3−i3−i3-1-1-111-2-222-1-1-1-1-1-1-2-222000i3i3−i3−i3100−i3i31111−i3−i3i3i3-2-220000-1-1-1-10000110000i3−i3−i3i3000000000
χ3622222-1-2-22-12-12-100-1-22i3i3−i3−i3-1-1-111-2-222-1-1-1-1-1-1-2-2-2-2000i3i3−i3−i3100−i3i31111−i3−i3i3i322-2000011110000-1-10000−i3i3i3−i3000000000
χ372222-1222-12-12-1222-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1002-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100022220000200200-1-1-1-10000-1-1-1-100000
χ382222-1222-12-12-1222-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1002-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000-2-2-2-20000-200-20011110000111100000
χ392222-1222-12-12-1222-1-2-22222-1-1-1221111-2-21111-1-100-2-1-1-1-1-1-1-211-2-2-1-111111100022220000-200-20011-1-10000-1-11100000
χ402222-1222-12-12-1222-1-2-22222-1-1-1221111-2-21111-1-100-2-1-1-1-1-1-1-211-2-2-1-1111111000-2-2-2-20000200200-1-111000011-1-100000
χ412222-1222-12-12-12-2-2-122-2-2-2-2-1-1-122-1-1-1-122-1-1-1-1-1-100-2111111211-2-2-1-1-1-1111100022-2-20000200-200-1-1-1-10000111100000
χ422222-1222-12-12-12-2-2-122-2-2-2-2-1-1-122-1-1-1-122-1-1-1-1-1-100-2111111211-2-2-1-1-1-11111000-2-2220000-20020011110000-1-1-1-100000
χ432222-1222-12-12-12-2-2-1-2-2-2-2-2-2-1-1-1221111-2-21111-1-1002111111-2-1-122-1-111-1-1-1-100022-2-20000-20020011-1-1000011-1-100000
χ442222-1222-12-12-12-2-2-1-2-2-2-2-2-2-1-1-1221111-2-21111-1-1002111111-2-1-122-1-111-1-1-1-1000-2-2220000200-200-1-1110000-1-11100000
χ452-22-222-22-222-2-2-22-22002-22-22-2-22-200000000002-20002-22-22-2000002-20000000002i−2i2i−2i0000000000002i−2i00002i−2i0000000
χ462-22-222-22-222-2-2-22-22002-22-22-2-22-200000000002-20002-22-22-2000002-2000000000−2i2i−2i2i000000000000−2i2i0000−2i2i0000000
χ472-22-222-22-222-2-2-2-22200-22-222-2-22-200000000002-2000-22-22-22000002-20000000002i−2i−2i2i0000000000002i−2i0000−2i2i0000000
χ482-22-222-22-222-2-2-2-22200-22-222-2-22-200000000002-2000-22-22-22000002-2000000000−2i2i2i−2i000000000000−2i2i00002i−2i0000000
χ492-22-2-12-2212-1-21-22-2-1002-22-2-1112-23−33−30033−3−3-11000-11-11-1103−300-113−33−33−30002i−2i2i−2i0000000000−i3i3−ii0000−ii−i3i300000
χ502-22-2-12-2212-1-21-22-2-1002-22-2-1112-23−33−30033−3−3-11000-11-11-1103−300-113−33−33−3000−2i2i−2i2i0000000000i3−i3i−i0000i−ii3−i300000
χ512-22-2-12-2212-1-21-22-2-1002-22-2-1112-2−33−3300−3−333-11000-11-11-110−3300-11−33−33−330002i−2i2i−2i0000000000i3−i3−ii0000−iii3−i300000
χ522-22-2-12-2212-1-21-22-2-1002-22-2-1112-2−33−3300−3−333-11000-11-11-110−3300-11−33−33−33000−2i2i−2i2i0000000000−i3i3i−i0000i−i−i3i300000
χ532-22-2-12-2212-1-21-2-22-100-22-22-1112-23−33−30033−3−3-110001-11-11-10−3300-113−3−33−330002i−2i−2i2i0000000000−i3i3−ii0000i−ii3−i300000
χ542-22-2-12-2212-1-21-2-22-100-22-22-1112-23−33−30033−3−3-110001-11-11-10−3300-113−3−33−33000−2i2i2i−2i0000000000i3−i3i−i0000−ii−i3i300000
χ552-22-2-12-2212-1-21-2-22-100-22-22-1112-2−33−3300−3−333-110001-11-11-103−300-11−333−33−30002i−2i−2i2i0000000000i3−i3−ii0000i−i−i3i300000
χ562-22-2-12-2212-1-21-2-22-100-22-22-1112-2−33−3300−3−333-110001-11-11-103−300-11−333−33−3000−2i2i2i−2i0000000000−i3i3i−i0000−iii3−i300000
χ574444-24-4-4-24-24-2400-24-40000-2-2-2-4-4-2-222-4-42222220000000004000022-2-200000000000000000000000000000000000000
χ584444-24-4-4-24-24-2400-2-440000-2-2-2-4-422-2-244-2-2-2-222000000000-40000222200000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-2-21111-2-2004-2-21111-2-2-2-2-2111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2441-4-4-2-2-2-2111-2-2222222-1-1-1-1-2-200-4-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-41442222111-2-2-2-2-2-2-2-21111-2-200-422-1-1-1-1-222221111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-41-4-42222111-2-2222222-1-1-1-1-2-200422-1-1-1-12-2-2-2-211-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i311122-2-22222-1-1-1-12200000i3i3−i3−i3-200−2i32i3-1-111i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i311122-2-22222-1-1-1-12200000−i3−i3i3i3-2002i3−2i3-1-111−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i31112222-2-2-2-211112200000i3i3−i3−i32002i3−2i3-1-1-1-1−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i31112222-2-2-2-211112200000−i3−i3i3i3200−2i32i3-1-1-1-1i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444004-4-44-4-4004000000-44-40000000000000000000000000000000000000000000000000000000000000000022−22000
χ6844-4-444004-4-44-4-4004000000-44-400000000000000000000000000000000000000000000000000000000000000000−2222000
χ694-44-4444-4-444-4-4-40040000004-4-4-440000000000-4400000000000000-440000000000000000000000000000000000000000
χ704-44-44-24-4-4-242-4200-200−2i32i32i3−2i3-2222-20000000000-4400000−2i32i32i3−2i3000002-20000000000000000000000000000000000000000
χ714-44-44-24-4-4-242-4200-2002i3−2i3−2i32i3-2222-20000000000-44000002i3−2i3−2i32i3000002-20000000000000000000000000000000000000000
χ724-44-44-2-44-4-242-424-4-200-22-22-222-2200000000004-40004-4-22-2200000-220000000000000000000000000000000000000000
χ734-44-44-2-44-4-242-42-44-2002-22-2-222-2200000000004-4000-442-22-200000-220000000000000000000000000000000000000000
χ744-44-4-244-424-2-42-400-2000000-222-4423−23−232300−23−2323232-2000000000000002-223−2300000000000000000000000000000000000000
χ754-44-4-244-424-2-42-400-2000000-222-44−232323−23002323−23−232-2000000000000002-2−232300000000000000000000000000000000000000
χ764-44-4-2-24-42-2-222200100−2i32i32i3−2i31-1-12-223−23−23230033−3−32-200000i3−i3−i3i300000-11−33−3i3i3i−3i0000000000000000000000000000000000
χ774-44-4-2-24-42-2-222200100−2i32i32i3−2i31-1-12-2−232323−2300−3−3332-200000i3−i3−i3i300000-113−33i−3i−3i3i0000000000000000000000000000000000
χ784-44-4-2-24-42-2-2222001002i3−2i3−2i32i31-1-12-223−23−23230033−3−32-200000−i3i3i3−i300000-11−333i−3i−3i3i0000000000000000000000000000000000
χ794-44-4-2-24-42-2-2222001002i3−2i3−2i32i31-1-12-2−232323−2300−3−3332-200000−i3i3i3−i300000-113−3−3i3i3i−3i0000000000000000000000000000000000
χ804-44-4-2-2-442-2-22224-4100-22-221-1-1-2223−2323−2300−3−333-22000-221-11-1023−23001-1−33−33−330000000000000000000000000000000000
χ814-44-4-2-2-442-2-22224-4100-22-221-1-1-22−2323−23230033−3−3-22000-221-11-10−2323001-13−33−33−30000000000000000000000000000000000
χ824-44-4-2-2-442-2-2222-441002-22-21-1-1-2223−2323−2300−3−333-220002-2-11-110−2323001-1−333−33−30000000000000000000000000000000000
χ834-44-4-2-2-442-2-2222-441002-22-21-1-1-22−2323−23230033−3−3-220002-2-11-11023−23001-13−3−33−330000000000000000000000000000000000
χ844-4-444400-4-4-4-444004000000-4-44000000000000004-40000000000000000000000000004-40000000000000000000000000
χ854-4-444400-4-4-4-444004000000-4-4400000000000000-44000000000000000000000000000-440000000000000000000000000
χ864-4-444-200-42-424-200-200000022-2000000−2i32i3−2i32i3−2i32i3004-4000000000000000000000000000-22−2i32i300000000000000000000000
χ874-4-444-200-42-424-200-200000022-2000000−2i32i3−2i32i3−2i32i300-440000000000000000000000000002-22i3−2i300000000000000000000000
χ884-4-444-200-42-424-200-200000022-20000002i3−2i32i3−2i32i3−2i3004-4000000000000000000000000000-222i3−2i300000000000000000000000
χ894-4-444-200-42-424-200-200000022-20000002i3−2i32i3−2i32i3−2i300-440000000000000000000000000002-2−2i32i300000000000000000000000
χ9088-8-88-40084-8-4-8400-40000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4800-4-8484-800-40000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-444-444002000000-22-2000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-444-444002000000-22-200000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ948-8-88-48004-84-8-4800-400000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004444-4-4002000000-2-22000000−4i34i32i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4004444-4-4002000000-2-220000004i3−4i3−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000

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