Finite Group Databasebeta

← Group #11883979

Character table — Group #11883979

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order1222334466666622344666666612121212121212121212121212122246666661212121212121212121212121224444666688224666681212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-1-1-111-1-1-1-111-1-11-1-1-1-11-1-111111111-1-1-1-1-1
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
χ511111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-1-11-11111-1-1111-1-111-1-1-11-111-1-111-1-111-11-1
χ611111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-1-11-1-1-111-1-1-1-11-1111-1-111-1-1-111-1-111-1-11-11
χ711111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-11-1111-1-11111-11-1-1-111-1-1111-1-111-1-1-1-11-11
χ811111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-111-1-1-111-1-1111-11-1-111-1-11111-11-1
χ911111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1
χ1011111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1111111-1-11
χ1111111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-11111-1-1-1-111-1-11
χ1211111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11111-1-111-1
χ1311111111111111-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-11111-11-11111-1-1-1-1-11-1-1-11111-111-1-1-1-111-1-1-111
χ1411111111111111-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-11111-11-1-1-111-1-111-111-1-111-11-1-1-11111-1-1111-1-1
χ1511111111111111-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-111111-1111-1-111-1-11-1-111-1-11-1111-1-1-1-111111-1-1
χ1611111111111111-1-11-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1111111-1-111111-11-1-1-1-111111-1111-1-1-1-11-1-11111-1-1-1-1-111
χ17222222-2-22222220022-2000022222-2-2-2-2-2-2-2-2-2-2-2-222000000020000-2-2220000-2-220022-2-20000000000-220000000000000
χ18222222-2-22222220022-2000022222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000020000-2-222000022-200-2-22200000000002-20000000000000
χ19222222-2-2222222002-220000222-2-222-2-2222222-2-2220000000-20000-2-2-2-200002-2-20022220000000000-2-20000000000000
χ20222222-2-2222222002-220000222-2-222-2-2222222-2-2-2-20000000-20000-2-2-2-20000-22200-2-2-2-20000000000220000000000000
χ2122222-1222-1-12-1222-122-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122200-1-1-1-100220-1-1-1-10-1-10000000000000
χ2222222-1222-1-12-1222-122-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-2-2222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-200111100-2-2011110110000000000000
χ2322222-1222-1-12-1222-1-2-2-1-1-1-1-1-1-1-2-211-1-1-2-211112222-222-1-1-1-1111-2-2-1-1111111-22-200-1-111002-20-1-1110-110000000000000
χ2422222-1222-1-12-1222-1-2-2-1-1-1-1-1-1-1-2-211-1-1-2-2111122-2-2-222-1-1-1-1111-2-2-1-11111112-220011-1-100-22011-1-101-10000000000000
χ2522222-1222-1-12-12-2-2-1221111-1-1-122-1-1-1-122-1-1-1-12222-2-2-21111-111-2-2-1-1-1-1111122200-1-1-1-100-2-2011110-1-10000000000000
χ2622222-1222-1-12-12-2-2-1221111-1-1-122-1-1-1-122-1-1-1-122-2-2-2-2-21111-111-2-2-1-1-1-11111-2-2-200111100220-1-1-1-10110000000000000
χ2722222-1222-1-12-12-2-2-1-2-21111-1-1-1-2-211-1-1-2-2111122222-2-211111-1-122-1-111-1-1-1-1-22-200-1-11100-22011-1-10-110000000000000
χ2822222-1222-1-12-12-2-2-1-2-21111-1-1-1-2-211-1-1-2-2111122-2-22-2-211111-1-122-1-111-1-1-1-12-220011-1-1002-20-1-11101-10000000000000
χ2922222-1-2-22-1-12-1200-12-2−i3−i3i3i3-1-1-1221111-2-21111-2-222000−i3−i3i3i3-1−i3i30011-1-1−i3−i3i3i3-2-2200-1-11100000−i3i3−i3i301-10000000000000
χ3022222-1-2-22-1-12-1200-12-2−i3−i3i3i3-1-1-1221111-2-21111-2-2-2-2000−i3−i3i3i3-1−i3i30011-1-1−i3−i3i3i322-20011-1-100000i3−i3i3−i30-110000000000000
χ3122222-1-2-22-1-12-1200-12-2i3i3−i3−i3-1-1-1221111-2-21111-2-222000i3i3−i3−i3-1i3−i30011-1-1i3i3−i3−i3-2-2200-1-11100000i3−i3i3−i301-10000000000000
χ3222222-1-2-22-1-12-1200-12-2i3i3−i3−i3-1-1-1221111-2-21111-2-2-2-2000i3i3−i3−i3-1i3−i30011-1-1i3i3−i3−i322-20011-1-100000−i3i3−i3i30-110000000000000
χ3322222-1-2-22-1-12-1200-1-22−i3−i3i3i3-1-1-1-2-2-1-11122-1-1-1-1-2-222000−i3−i3i3i31i3−i3001111i3i3−i3−i32-2-200-1-1-1-100000−i3i3i3−i30110000000000000
χ3422222-1-2-22-1-12-1200-1-22−i3−i3i3i3-1-1-1-2-2-1-11122-1-1-1-1-2-2-2-2000−i3−i3i3i31i3−i3001111i3i3−i3−i3-22200111100000i3−i3−i3i30-1-10000000000000
χ3522222-1-2-22-1-12-1200-1-22i3i3−i3−i3-1-1-1-2-2-1-11122-1-1-1-1-2-222000i3i3−i3−i31−i3i3001111−i3−i3i3i32-2-200-1-1-1-100000i3−i3−i3i30110000000000000
χ3622222-1-2-22-1-12-1200-1-22i3i3−i3−i3-1-1-1-2-2-1-11122-1-1-1-1-2-2-2-2000i3i3−i3−i31−i3i3001111−i3−i3i3i3-22200111100000−i3i3i3−i30-1-10000000000000
χ372222-1222-122-12-122-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1002-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1000220000220020000200-1-1-1-1-1-1-1-100000
χ382222-1222-122-12-122-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1002-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1000-2-20000-2-200-20000-2001111111100000
χ392222-1222-122-12-122-1-2-22222-1-1-111-2-222111111-1-100-2-1-1-1-1-1-1-2-2-211-1-11111110002200002200-20000-200-1-111-1-11100000
χ402222-1222-122-12-122-1-2-22222-1-1-111-2-222111111-1-100-2-1-1-1-1-1-1-2-2-211-1-1111111000-2-20000-2-2002000020011-1-111-1-100000
χ412222-1222-122-12-1-2-2-122-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-100-21111112-2-211-1-1-1-11111000220000-2-20020000-200-1-1-1-1111100000
χ422222-1222-122-12-1-2-2-122-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-100-21111112-2-211-1-1-1-11111000-2-200002200-200002001111-1-1-1-100000
χ432222-1222-122-12-1-2-2-1-2-2-2-2-2-2-1-1-111-2-222111111-1-1002111111-222-1-1-1-111-1-1-1-1000220000-2-200-20000200-1-11111-1-100000
χ442222-1222-122-12-1-2-2-1-2-2-2-2-2-2-1-1-111-2-222111111-1-1002111111-222-1-1-1-111-1-1-1-1000-2-20000220020000-20011-1-1-1-11100000
χ452-2-2222-22-2-2-222-22-22002-22-22-2-200002-20000002-20002-22-22-2000002-20000000002-200002-200000000002-2002-20000000
χ462-2-2222-22-2-2-222-22-22002-22-22-2-200002-20000002-20002-22-22-2000002-2000000000-220000-220000000000-2200-220000000
χ472-2-2222-22-2-2-222-2-22200-22-222-2-200002-20000002-2000-22-22-22000002-20000000002-20000-2200000000002-200-220000000
χ482-2-2222-22-2-2-222-2-22200-22-222-2-200002-20000002-2000-22-22-22000002-2000000000-2200002-20000000000-22002-20000000
χ492-2-22-12-221-2-2-1212-2-1002-22-2-1113−3002-23−333−3−3-11000-11-11-110003−3-113−33−33−30002-200002-20000000000-113−3-113−300000
χ502-2-22-12-221-2-2-1212-2-1002-22-2-1113−3002-23−333−3−3-11000-11-11-110003−3-113−33−33−3000-220000-2200000000001-1−331-1−3300000
χ512-2-22-12-221-2-2-1212-2-1002-22-2-111−33002-2−33−3−333-11000-11-11-11000−33-11−33−33−330002-200002-20000000000-11−33-11−3300000
χ522-2-22-12-221-2-2-1212-2-1002-22-2-111−33002-2−33−3−333-11000-11-11-11000−33-11−33−33−33000-220000-2200000000001-13−31-13−300000
χ532-2-22-12-221-2-2-121-22-100-22-22-1113−3002-23−333−3−3-110001-11-11-1000−33-113−3−33−330002-20000-220000000000-113−31-1−3300000
χ542-2-22-12-221-2-2-121-22-100-22-22-1113−3002-23−333−3−3-110001-11-11-1000−33-113−3−33−33000-2200002-200000000001-1−33-113−300000
χ552-2-22-12-221-2-2-121-22-100-22-22-111−33002-2−33−3−333-110001-11-11-10003−3-11−333−33−30002-20000-220000000000-11−331-13−300000
χ562-2-22-12-221-2-2-121-22-100-22-22-111−33002-2−33−3−333-110001-11-11-10003−3-11−333−33−3000-2200002-200000000001-13−3-11−3300000
χ574444-24-4-4-244-24-200-24-40000-2-2-2-2-2-4-4-4-4222222220000000004000022-2-200000000000000000000000000000000000000
χ584444-24-4-4-244-24-200-2-440000-2-2-22244-4-4-2-2-2-2-2-222000000000-40000222200000000000000000000000000000000000000
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
χ604444-2-244-2-2-2-2-2-2441-4-4-2-2-2-21112222-2-222-1-1-1-1-2-200-4-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000
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
χ624444-2-244-2-2-2-2-2-2-4-41-4-422221112222-2-222-1-1-1-1-2-200422-1-1-1-12-2-2-2-211-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i3111-2-2222222-1-1-1-12200000i3i3−i3−i3-2−2i32i300-1-111i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i3111-2-2222222-1-1-1-12200000−i3−i3i3i3-22i3−2i300-1-111−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i311122-2-222-2-211112200000i3i3−i3−i322i3−2i300-1-1-1-1−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i311122-2-222-2-211112200000−i3−i3i3i32−2i32i300-1-1-1-1i3i3−i3−i30000000000000000000000000000000000
χ6744-4-4440044-4-4-4-4004000000-44-400000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ6844-4-4440044-4-4-4-4004000000-44-4000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ694-44-44400-4-44-4-44004000000-4-44000000000000004-400000000000000000000000004-4000000000000000000000000000
χ704-44-44400-4-44-4-44004000000-4-4400000000000000-440000000000000000000000000-44000000000000000000000000000
χ714-44-44-200-42-2-42400-200000022-200−2i32i30000−2i32i3−2i32i3004-40000000000000000000000000-22−2i32i30000000000000000000000000
χ724-44-44-200-42-2-42400-200000022-200−2i32i30000−2i32i3−2i32i300-4400000000000000000000000002-22i3−2i30000000000000000000000000
χ734-44-44-200-42-2-42400-200000022-2002i3−2i300002i3−2i32i3−2i3004-40000000000000000000000000-222i3−2i30000000000000000000000000
χ744-44-44-200-42-2-42400-200000022-2002i3−2i300002i3−2i32i3−2i300-4400000000000000000000000002-2−2i32i30000000000000000000000000
χ754-4-44444-4-4-4-444-40040000004-4-40000-44000000-4400000000000000-440000000000000000000000000000000000000000
χ764-4-444-24-4-4224-2-400-200−2i32i32i3−2i3-22200002-2000000-4400000−2i32i32i3−2i3000002-20000000000000000000000000000000000000000
χ774-4-444-24-4-4224-2-400-2002i3−2i3−2i32i3-22200002-2000000-44000002i3−2i3−2i32i3000002-20000000000000000000000000000000000000000
χ784-4-444-2-44-4224-2-44-4-200-22-22-2220000-220000004-40004-4-22-2200000-220000000000000000000000000000000000000000
χ794-4-444-2-44-4224-2-4-44-2002-22-2-2220000-220000004-4000-442-22-200000-220000000000000000000000000000000000000000
χ804-4-44-244-42-4-4-24200-2000000-22223−2300-44−2323−23−2323232-2000000000000002-223−2300000000000000000000000000000000000000
χ814-4-44-244-42-4-4-24200-2000000-222−232300-4423−232323−23−232-2000000000000002-2−232300000000000000000000000000000000000000
χ824-4-44-2-24-4222-2-2200100−2i32i32i3−2i31-1-123−23002-2−232333−3−32-200000i3−i3−i3i300000-11−33−3i3i3i−3i0000000000000000000000000000000000
χ834-4-44-2-24-4222-2-2200100−2i32i32i3−2i31-1-1−2323002-223−23−3−3332-200000i3−i3−i3i300000-113−33i−3i−3i3i0000000000000000000000000000000000
χ844-4-44-2-24-4222-2-22001002i3−2i3−2i32i31-1-123−23002-2−232333−3−32-200000−i3i3i3−i300000-11−333i−3i−3i3i0000000000000000000000000000000000
χ854-4-44-2-24-4222-2-22001002i3−2i3−2i32i31-1-1−2323002-223−23−3−3332-200000−i3i3i3−i300000-113−3−3i3i3i−3i0000000000000000000000000000000000
χ864-4-44-2-2-44222-2-224-4100-22-221-1-123−2300-2223−23−3−333-22000-221-11-100023−231-1−33−33−330000000000000000000000000000000000
χ874-4-44-2-2-44222-2-224-4100-22-221-1-1−232300-22−232333−3−3-22000-221-11-1000−23231-13−33−33−30000000000000000000000000000000000
χ884-4-44-2-2-44222-2-22-441002-22-21-1-123−2300-2223−23−3−333-220002-2-11-11000−23231-1−333−33−30000000000000000000000000000000000
χ894-4-44-2-2-44222-2-22-441002-22-21-1-1−232300-22−232333−3−3-220002-2-11-1100023−231-13−3−33−330000000000000000000000000000000000
χ9088-8-88-4008-44-84-800-40000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4800-48-84-8400-40000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4-44444002000000-22-2000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-4-44444002000000-22-200000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ948-88-8-48004-884-8-400-400000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-40044-444-4002000000-2-2200−4i34i300002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40044-444-4002000000-2-22004i3−4i30000−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000

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