Finite Group Databasebeta

← Group #11895167

Character table — Group #11895167

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order12223344446666661212121234446661212121212121212121212121212121244448888412121212121212121212121212121212121212224488121212122424242424242424444661212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-111-1-1-1-111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-11111111-1-1-1-11111111111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111
χ71111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-11111-1-11111-111-1-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-1-11-1-111-1-11-111-1-111-1-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-111111-11-1-1111-111-1-1-1-111-11
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-111-1-1111111-111-1-1-1-1-111-1-11111-1-1-1-111-11-1-1-1-1111111-1-1-1-1-11-111-1-1-11-1-111-1-111-11
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-11111-111-1-111-11-1-11111-1-11-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-111-11111-1-1-1-1-1-11111-1-11-1-1-111-1-11111-1-1-1-1-111-1-1111-1-1-11111-1-1-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-11111111-11111-1-1-1-1-1-11111-11-111-1-11-1-1-111-1-1111-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111-1-111-11111-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-1-1-1-11-11-1-111-1111-1-1-1-1111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-111-11111-1-1-1-1-1-1111111-1111-1-111-1-1-1-111111-1-111-1-1-1111-1-111-1-1-11
χ1722222222-2-222222222222-200222-2-2220000-2-22222-2-22222000000000-200-2-2-2-20000000000-2-2002222000000000000000-2-20000000000
χ1822222222-2-222222222222-200222-2-2220000-2-22222-2-2-2-2-2-2000000000-200-2-2-2-200000000002200-2-2-2-2000000000000000220000000000
χ19222222-2-2-2-2222222-2-2-2-2220022222-2-20000-2-2-2-2-2-2-2-222-2-2000000000200-2-2220000000000-220022-2-2000000000000000-220000000000
χ20222222-2-2-2-2222222-2-2-2-2220022222-2-20000-2-2-2-2-2-2-2-2-2-222000000000200-2-22200000000002-200-2-2220000000000000002-20000000000
χ2122222-12222-1-12-122-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-1000022222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1002-1-1-1-1000000000000
χ2222222-12222-1-12-122-1-1-1-1-1222-1-1-1-1-122222222-1-1-1-1-1-10000-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200001111111100-21111000000000000
χ2322222-12222-1-12-122-1-1-1-1-12-2-2-1-1-1-1-122-2-2-2-222-1-1-1-1-1-100002222-211112-2-2-1-1-1-111111111-2-200220000-1-1-1-1-1-1-1-100-21111000000000000
χ2422222-12222-1-12-122-1-1-1-1-12-2-2-1-1-1-1-122-2-2-2-222-1-1-1-1-1-10000-2-2-2-2-211112-2-2-1-1-1-1111111112200-2-2000011111111002-1-1-1-1000000000000
χ2522222-1-2-222-1-12-1221111-1-222-1-1-111-2-22222221111-1-100002222-2-1-111-2-2-2-1-111-1-1-1-111112200-2-20000-1-1-1-1111100-2-1-111000000000000
χ2622222-1-2-222-1-12-1221111-1-222-1-1-111-2-22222221111-1-10000-2-2-2-2-2-1-111-2-2-2-1-111-1-1-1-11111-2-2002200001111-1-1-1-100211-1-1000000000000
χ2722222-1-2-222-1-12-1221111-1-2-2-2-1-1-111-2-2-2-2-2-2221111-1-100002222211-1-1-222-1-1111111-1-1-1-1-2-200-2-20000-1-1-1-1111100211-1-1000000000000
χ2822222-1-2-222-1-12-1221111-1-2-2-2-1-1-111-2-2-2-2-2-2221111-1-10000-2-2-2-2211-1-1-222-1-1111111-1-1-1-122002200001111-1-1-1-100-2-1-111000000000000
χ292222-12222222-12-1-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200-1-1-1-1000000002200000-1-1-1-1-1-1000000
χ302222-12222222-12-1-12222-1222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200111100000000-2-200000111111000000
χ312222-12222222-12-1-12222-12-2-2-1-1-122-1-11111-1-1-1-1-1-12222220000-2-2-2-2-2-111-1-1-1-111111111002200-1-1-1-100000000-2-200000-1-11111000000
χ322222-12222222-12-1-12222-12-2-2-1-1-122-1-11111-1-1-1-1-1-122-2-2-2-20000-2-2-2-2-2-111-1-1-1-11111111100-2-200111100000000220000011-1-1-1-1000000
χ332222-1222-2-222-12-1-12222-1-200-1-1-1-2-2-1-1−i3−i3i3i311-1-1-1-1-2-222220000000001−i3i31111−i3−i3i3i3−i3−i3i3i300-2-200-1-1-1-100000000000000011−i3i3−i3i3000000
χ342222-1222-2-222-12-1-12222-1-200-1-1-1-2-2-1-1−i3−i3i3i311-1-1-1-1-2-2-2-2-2-20000000001−i3i31111−i3−i3i3i3−i3−i3i3i30022001111000000000000000-1-1i3−i3i3−i3000000
χ352222-1222-2-222-12-1-12222-1-200-1-1-1-2-2-1-1i3i3−i3−i311-1-1-1-1-2-222220000000001i3−i31111i3i3−i3−i3i3i3−i3−i300-2-200-1-1-1-100000000000000011i3−i3i3−i3000000
χ362222-1222-2-222-12-1-12222-1-200-1-1-1-2-2-1-1i3i3−i3−i311-1-1-1-1-2-2-2-2-2-20000000001i3−i31111i3i3−i3−i3i3i3−i3−i30022001111000000000000000-1-1−i3i3−i3i3000000
χ372222-12-2-22222-12-1-1-2-2-2-2-1-222-1-1-1-2-211-1-1-1-1-1-111112222-2-20000-222-2-2111-1-111-1-1-1-11111002-200-1-111000000002-200000-11-1-111000000
χ382222-12-2-22222-12-1-1-2-2-2-2-1-222-1-1-1-2-211-1-1-1-1-1-1111122-2-2220000-222-2-2111-1-111-1-1-1-1111100-220011-1-100000000-22000001-111-1-1000000
χ392222-12-2-22222-12-1-1-2-2-2-2-1-2-2-2-1-1-1-2-2111111-1-111112222-2-200002-2-2221-1-1-1-1111111-1-1-1-1002-200-1-11100000000-2200000-1111-1-1000000
χ402222-12-2-22222-12-1-1-2-2-2-2-1-2-2-2-1-1-1-2-2111111-1-1111122-2-22200002-2-2221-1-1-1-1111111-1-1-1-100-220011-1-1000000002-2000001-1-1-111000000
χ412222-12-2-2-2-222-12-1-1-2-2-2-2-1200-1-1-12211−i3−i3i3i3111111-2-222-2-2000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i300-2200-1-1110000000000000001-1−i3i3i3−i3000000
χ422222-12-2-2-2-222-12-1-1-2-2-2-2-1200-1-1-12211−i3−i3i3i3111111-2-2-2-222000000000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3002-20011-1-1000000000000000-11i3−i3−i3i3000000
χ432222-12-2-2-2-222-12-1-1-2-2-2-2-1200-1-1-12211i3i3−i3−i3111111-2-222-2-2000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i300-2200-1-1110000000000000001-1i3−i3−i3i3000000
χ442222-12-2-2-2-222-12-1-1-2-2-2-2-1200-1-1-12211i3i3−i3−i3111111-2-2-2-222000000000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3002-20011-1-1000000000000000-11−i3i3i3−i3000000
χ452-22-22200-222-2-2-2-220000202i−2i-22-200002i−2i2i−2i2-200002-200002i2i−2i−2i02i−2i000002-2002i−2i2i−2i00002-2000000002i2i−2i−2i00000002-200000000000000
χ462-22-22200-222-2-2-2-220000202i−2i-22-200002i−2i2i−2i2-200002-20000−2i−2i2i2i02i−2i000002-2002i−2i2i−2i0000-2200000000−2i−2i2i2i0000000-2200000000000000
χ472-22-22200-222-2-2-2-22000020−2i2i-22-20000−2i2i−2i2i2-200002-200002i2i−2i−2i0−2i2i000002-200−2i2i−2i2i0000-22000000002i2i−2i−2i0000000-2200000000000000
χ482-22-22200-222-2-2-2-22000020−2i2i-22-20000−2i2i−2i2i2-200002-20000−2i−2i2i2i0−2i2i000002-200−2i2i−2i2i00002-200000000−2i−2i2i2i00000002-200000000000000
χ492-22-22-100-22-11-21-2233−3−3-102i−2i1-113−3002i−2i2i−2i2-233−3−3-1100002i2i−2i−2i0−ii−i3i3000-113−3−ii−ii−i3i3−i3i32-200000000−i−iii−i3−i3i3i3000-113−3000000000000
χ502-22-22-100-22-11-21-2233−3−3-102i−2i1-113−3002i−2i2i−2i2-233−3−3-110000−2i−2i2i2i0−ii−i3i3000-113−3−ii−ii−i3i3−i3i3-2200000000ii−i−ii3i3−i3−i30001-1−33000000000000
χ512-22-22-100-22-11-21-2233−3−3-10−2i2i1-113−300−2i2i−2i2i2-233−3−3-1100002i2i−2i−2i0i−ii3−i3000-113−3i−ii−ii3−i3i3−i3-2200000000−i−iii−i3−i3i3i30001-1−33000000000000
χ522-22-22-100-22-11-21-2233−3−3-10−2i2i1-113−300−2i2i−2i2i2-233−3−3-110000−2i−2i2i2i0i−ii3−i3000-113−3i−ii−ii3−i3i3−i32-200000000ii−i−ii3i3−i3−i3000-113−3000000000000
χ532-22-22-100-22-11-21-22−3−333-102i−2i1-11−33002i−2i2i−2i2-2−3−333-1100002i2i−2i−2i0−iii3−i3000-11−33−ii−iii3−i3i3−i32-200000000−i−iiii3i3−i3−i3000-11−33000000000000
χ542-22-22-100-22-11-21-22−3−333-102i−2i1-11−33002i−2i2i−2i2-2−3−333-110000−2i−2i2i2i0−iii3−i3000-11−33−ii−iii3−i3i3−i3-2200000000ii−i−i−i3−i3i3i30001-13−3000000000000
χ552-22-22-100-22-11-21-22−3−333-10−2i2i1-11−3300−2i2i−2i2i2-2−3−333-1100002i2i−2i−2i0i−i−i3i3000-11−33i−ii−i−i3i3−i3i3-2200000000−i−iiii3i3−i3−i30001-13−3000000000000
χ562-22-22-100-22-11-21-22−3−333-10−2i2i1-11−3300−2i2i−2i2i2-2−3−333-110000−2i−2i2i2i0i−i−i3i3000-11−33i−ii−i−i3i3−i3i32-200000000ii−i−i−i3−i3i3i3000-11−33000000000000
χ572-2-22222-200-2-222-2-22-22-220002-2-2002-20000002-22-2002-22-2−i2i2−i2i2000000000000000000000000−i2i22-22-2−i2i2−i2i2−i2i2−i2i20000000000000−i2i2−i2i200
χ582-2-22222-200-2-222-2-22-22-220002-2-2002-20000002-22-2002-22-2i2−i2i2−i2000000000000000000000000i2−i22-22-2i2−i2i2−i2i2−i2i2−i20000000000000i2−i2i2−i200
χ592-2-22222-200-2-222-2-22-22-220002-2-2002-20000002-22-200-22-22−i2i2−i2i2000000000000000000000000−i2i2-22-22−i2i2−i2i2−i2i2−i2i20000000000000i2−i2i2−i200
χ602-2-22222-200-2-222-2-22-22-220002-2-2002-20000002-22-200-22-22i2−i2i2−i2000000000000000000000000i2−i2-22-22i2−i2i2−i2i2−i2i2−i20000000000000−i2i2−i2i200
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χ714444-2-2-4-444-2-2-2-2-2-222221-4441112222-2-2-2-2-2-2-1-1-1-1-2-200000000-4-2-22222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ724444-2-2-4-444-2-2-2-2-2-222221-4-4-411122222222-2-2-1-1-1-1-2-200000000422-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
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χ744444-2-2-4-4-4-4-2-2-2-2-2-222221400111-2-2222i32i3−2i3−2i322-1-1-1-1220000000000000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000
χ7544-4-4440000-44-4-44-400004000-4-440000000000000000000022−22−222200000000000000000000000000000022−22−222200000000000000000000000
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χ814-44-444004-44-4-4-4-4400004000-44-400000000-440000-440000000000000000-4400000000000000000000000000000000000000000000000
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χ834-44-44-2004-4-22-42-44−23−232323-20002-2223−23000000-44−23−2323232-200000000000000002-223−23000000000000000000000000000000000000000000000
χ844-44-4-24004-44-42-42-20000-20002-22000023−23−23232-20000-4400000000000000002-20023−23−232300000000000000000000000000000000000000000
χ854-44-4-24004-44-42-42-20000-20002-220000−232323−232-20000-4400000000000000002-200−232323−2300000000000000000000000000000000000000000
χ864-44-4-2400-444-42-42-20000-204i−4i2-220000−2i2i−2i2i-2200004-40000000004i−4i00000-2200−2i2i−2i2i00000000000000000000000000000000000000000
χ874-44-4-2400-444-42-42-20000-20−4i4i2-2200002i−2i2i−2i-2200004-4000000000−4i4i00000-22002i−2i2i−2i00000000000000000000000000000000000000000
χ884-44-4-2-2004-4-22222-22323−23−231000-11-1−23230023−23−23232-2−3−3332-20000000000000000-113−3−333−3-333-30000000000000000000000000000000000000
χ894-44-4-2-2004-4-22222-22323−23−231000-11-1−232300−232323−232-2−3−3332-20000000000000000-113−33−3−333-3-330000000000000000000000000000000000000
χ904-44-4-2-2004-4-22222-2−23−2323231000-11-123−230023−23−23232-233−3−32-20000000000000000-11−33−333−33-3-330000000000000000000000000000000000000
χ914-44-4-2-2004-4-22222-2−23−2323231000-11-123−2300−232323−232-233−3−32-20000000000000000-11−333−3−33-333-30000000000000000000000000000000000000
χ924-44-4-2-200-44-22222-22323−23−23104i−4i-11-123−2300−2i2i−2i2i-22−3−333-22000000000−2i2i−2i32i30001-1−33i−ii−ii3−i3i3−i30000000000000000000000000000000000000
χ934-44-4-2-200-44-22222-22323−23−2310−4i4i-11-123−23002i−2i2i−2i-22−3−333-220000000002i−2i2i3−2i30001-1−33−ii−ii−i3i3−i3i30000000000000000000000000000000000000
χ944-44-4-2-200-44-22222-2−23−232323104i−4i-11-1−232300−2i2i−2i2i-2233−3−3-22000000000−2i2i2i3−2i30001-13−3i−ii−i−i3i3−i3i30000000000000000000000000000000000000
χ954-44-4-2-200-44-22222-2−23−23232310−4i4i-11-1−2323002i−2i2i−2i-2233−3−3-220000000002i−2i−2i32i30001-13−3−ii−iii3−i3i3−i30000000000000000000000000000000000000
χ964-4-444-24-400224-2-4-4-22-22-2000-222004-4000000-22-22000000−2i22i2−2i22i2000000000000000000000000−2i22i20000i2−i2i2−i2i2−i2i2−i20000000000000000000
χ974-4-444-24-400224-2-4-4-22-22-2000-222004-4000000-22-220000002i2−2i22i2−2i20000000000000000000000002i2−2i20000−i2i2−i2i2−i2i2−i2i20000000000000000000
χ984-4-444-2-4400224-2-4-42-22-2-2000-22200-440000002-22-2000000−2i22i2−2i22i20000000000000000000000002i2−2i20000i2−i2i2−i2−i2i2−i2i20000000000000000000
χ994-4-444-2-4400224-2-4-42-22-2-2000-22200-440000002-22-20000002i2−2i22i2−2i2000000000000000000000000−2i22i20000−i2i2−i2i2i2−i2i2−i20000000000000000000
χ1004-4-44-244-400-4-4-24224-44-4-2000-22200-22000000-22-22004-44-4000000000000000000000000000000-22-22000000000000000000000000000
χ1014-4-44-244-400-4-4-24224-44-4-2000-22200-22000000-22-2200-44-440000000000000000000000000000002-22-2000000000000000000000000000
χ1024-4-44-24-4400-4-4-2422-44-44-2000-222002-20000002-22-2004-4-44000000000000000000000000000000-222-2000000000000000000000000000
χ1034-4-44-24-4400-4-4-2422-44-44-2000-222002-20000002-22-200-444-40000000000000000000000000000002-2-22000000000000000000000000000
χ10488-8-8-480000-884-8-440000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-400004-444-4443−43−43432000-2-220000000000−232323−230000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-400004-444-44−434343−432000-2-22000000000023−23−23230000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-48-80044-4-444-44-4420002-2-200-440000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-880044-4-4444-44-420002-2-2004-4000000-22-220000000000000000000000000000000000000000000000000000000000000000000

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