Finite Group Databasebeta

← Group #72317543

Character table — Group #72317543

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111111122222222222222224444444444444444448888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232
order1222222222222222222222222222222222222222222222222222222244444444444444444444222444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-111111111-1-11-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1111111111111-11-1-1-1-1-11-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1111-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-11-1-1-1-1-11-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111111111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-11-1111111111-1-1-1-1-1-1-1-11111
χ9111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-11-1-1-1-1-11-1-11-11-111111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-111-1-11-11111-11-1-1-1-1-11111-1-1-1-1111111-1-1
χ11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ12111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ13111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111111-11-1-1-1-1-11-1-11-11-11-1-1-1-11111-1-1-1-11111-1-111
χ14111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-111-1-11-11111-11-11111-1-1-1-11111-1-1-1-1-1-111
χ15111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-1111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ16111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ17111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-111-1-111-1-111-1-111-1-11-11-1
χ18111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11-1-1-111-1111-11-1-11-1-111-1-111-1-111-1-1111-11-1
χ19111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11111-1-111-1-1-1-111-1-111-11-11
χ20111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-111-1-11111-1-111-1-1-11-11
χ21111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-111-1-1-111-1-111-1-111-1-111-11-11
χ22111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111111111-11-1-1-111-1111-11-1-1111-1-111-1-111-1-111-1-1-11-11
χ23111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11-1-1-1-1-1-111111-1-111-1-111-1-11111-1-111-1-11-11-1
χ24111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-111-1-1111-11-1
χ25111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-111-1-1-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-1111-1-11
χ26111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ27111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-11111-11-1-111-1-1111-1-1-1-111-1-11111-1-1-111-1
χ28111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-11-1-1111-1111-111-1-1-11111-1-111-1-1-1-111-111-1
χ29111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-11111-1-1-111-1
χ30111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111111111-1-11111-1-1-1-111-1-1-111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1
χ31111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11111-11-1-111-1-11-1-11111-1-111-1-1-1-1111-1-11
χ32111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-11-1-1111-1111-111-111-1-1-1-111-1-11111-1-11-1-11
χ332222222222-2-22222-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222-2-20000000000220000-2-200-2-200000000220200000-20000-202000000000000000000000
χ342222222222-2-22222-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222-2-20000000000-2-2000022002200000000-2-20-2000002000020-2000000000000000000000
χ352222222222-2-22222-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000220000-2-200-2-200000000220-2000002000020-2000000000000000000000
χ362222222222-2-22222-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000-2-2000022002200000000-2-20200000-20000-202000000000000000000000
χ372222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-22200000000002200002200-2-200000000-2-20-200000-20000202000000000000000000000
χ382222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2220000000000-2-20000-2-200220000000022020000020000-20-2000000000000000000000
χ392222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222222222-2-200000000002200002200-2-200000000-2-2020000020000-20-2000000000000000000000
χ402222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222222222-2-20000000000-2-20000-2-2002200000000220-200000-20000202000000000000000000000
χ4122222222-2-2222222-2-2-2-2-2-222-2-222-2-222-2-222-2-222-2-22-2000000000000000000000000000000000022-2000-22-200-20200000000000000000000
χ4222222222-2-2222222-2-2-2-2-2-222-2-222-2-222-2-222-2-222-2-22-20000000000000000000000000000000000-2-220002-220020-200000000000000000000
χ4322222222-2-2222222-2-2-2-2-2-222-2-222-2-2-2-222-2-222-2-222-2200000000000000000000000000000000002-22000-2-2200-20200000000000000000000
χ4422222222-2-2222222-2-2-2-2-2-222-2-222-2-2-2-222-2-222-2-222-220000000000000000000000000000000000-22-200022-20020-200000000000000000000
χ4522222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222-2-2-2-222-22000000000000000000000000000000000022-20002-2200-20-200000000000000000000
χ4622222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222-2-2-2-222-220000000000000000000000000000000000-2-22000-22-20020200000000000000000000
χ4722222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-22222-2-22-200000000000000000000000000000000002-2200022-200-20-200000000000000000000
χ4822222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222-2-22222-2-22-20000000000000000000000000000000000-22-2000-2-220020200000000000000000000
χ4922222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2200000000220022-2-200-2-2000000000000200002-20000-2000000000000000000000000
χ5022222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2200000000-2-200-2-2220022000000000000-20000-2200002000000000000000000000000
χ5122222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2222-2000000002200-2-22200-2-200000000000020000-220000-2000000000000000000000000
χ5222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2222-200000000-2-20022-2-20022000000000000-200002-200002000000000000000000000000
χ5322222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-2-2-222-2-2222-2000000002200-2-22200-2-2000000000000-200002-200002000000000000000000000000
χ5422222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-2-2-222-2-2222-200000000-2-20022-2-2002200000000000020000-220000-2000000000000000000000000
χ5522222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-222-2-2-2200000000220022-2-200-2-2000000000000-20000-2200002000000000000000000000000
χ5622222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-222-2-2-2200000000-2-200-2-2220022000000000000200002-20000-2000000000000000000000000
χ572-2-22-2-222-2-22-222-2-222-2-2222-22-22-22-200000000000000000022-2-2002-200002-2002-2000022-2-22-2000000000000000000002-22-2000000000000
χ582-2-22-2-222-2-22-222-2-222-2-2222-22-22-22-200000000000000000022-2-200-220000-2200-22000022-2-2-2200000000000000000000-22-22000000000000
χ592-2-22-2-222-2-22-222-2-222-2-2222-22-22-22-2000000000000000000-2-222002-200002-2002-20000-2-2222-200000000000000000000-22-22000000000000
χ602-2-22-2-222-2-22-222-2-222-2-2222-22-22-22-2000000000000000000-2-22200-220000-2200-220000-2-222-22000000000000000000002-22-2000000000000
χ612-2-22-2-222-2-22-2-2-22222-2-2222-2-22-22-2200000000000000000022-2-2002-20000-22002-20000-2-222-22000000000000000000002-2-22000000000000
χ622-2-22-2-222-2-22-2-2-22222-2-2222-2-22-22-2200000000000000000022-2-200-2200002-200-220000-2-2222-200000000000000000000-222-2000000000000
χ632-2-22-2-222-2-22-2-2-22222-2-2222-2-22-22-22000000000000000000-2-222002-20000-22002-2000022-2-2-2200000000000000000000-222-2000000000000
χ642-2-22-2-222-2-22-2-2-22222-2-2222-2-22-22-22000000000000000000-2-22200-2200002-200-22000022-2-22-2000000000000000000002-2-22000000000000
χ652-2-22-2-222-2-2-2222-2-2-2-22222-222-2-22-220000000000000022-2-20000002-20000-2200-2222-2-200002-200000000000000002-22-20000000000000000
χ662-2-22-2-222-2-2-2222-2-2-2-22222-222-2-22-220000000000000022-2-2000000-2200002-2002-222-2-20000-220000000000000000-22-220000000000000000
χ672-2-22-2-222-2-2-2222-2-2-2-22222-222-2-22-2200000000000000-2-2220000002-20000-2200-22-2-22200002-20000000000000000-22-220000000000000000
χ682-2-22-2-222-2-2-2222-2-2-2-22222-222-2-22-2200000000000000-2-222000000-2200002-2002-2-2-2220000-2200000000000000002-22-20000000000000000
χ692-2-22-2-222-2-2-22-2-222-2-22222-22-222-22-20000000000000022-2-20000002-200002-200-22-2-2220000-2200000000000000002-2-220000000000000000
χ702-2-22-2-222-2-2-22-2-222-2-22222-22-222-22-20000000000000022-2-2000000-220000-22002-2-2-22200002-20000000000000000-222-20000000000000000
χ712-2-22-2-222-2-2-22-2-222-2-22222-22-222-22-200000000000000-2-2220000002-200002-200-2222-2-20000-220000000000000000-222-20000000000000000
χ722-2-22-2-222-2-2-22-2-222-2-22222-22-222-22-200000000000000-2-222000000-220000-22002-222-2-200002-200000000000000002-2-220000000000000000
χ73444-4-4-44-44-44400004-44-44-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i0000
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χ75444-4-4-44-44-4-4-40000-44-444-44400000000000000000000000000000000000000000000000000000000000000000000000000004-40000000000
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χ77444-4-4-44-4-44440000-44-44-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000004i−4i00000000
χ78444-4-4-44-4-44440000-44-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000
χ79444-4-4-44-4-44-4-400004-44-4-4444000000000000000000000000000000000000000000000000000000000000000000000000000000004-4000000
χ80444-4-4-44-4-44-4-400004-44-4-444400000000000000000000000000000000000000000000000000000000000000000000000000000000-44000000
χ8144-4-44-4-4400004-44-400000000000000004-40000004-4002-22-22-22-2000000000000002-22-22-22-200000000000000000000000000000000000000
χ8244-4-44-4-4400004-44-400000000000000004-40000004-400-22-22-22-2200000000000000-22-22-22-2200000000000000000000000000000000000000
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χ8544-4-44-4-440000-44-4400000000000000004-4000000-44002-22-22-22-200000000000000-22-22-22-2200000000000000000000000000000000000000
χ8644-4-44-4-440000-44-4400000000000000004-4000000-4400-22-22-22-22000000000000002-22-22-22-200000000000000000000000000000000000000
χ8744-4-44-4-440000-44-440000000000000000-440000004-4002-22-2-22-2200000000000000-22-222-22-200000000000000000000000000000000000000
χ8844-4-44-4-440000-44-440000000000000000-440000004-400-22-222-22-2000000000000002-22-2-22-2200000000000000000000000000000000000000
χ894-44-4-44-4400004-4-44000000000000004-40000004-400002-2-222-2-22000000000000002-2-222-2-2200000000000000000000000000000000000000
χ904-44-4-44-4400004-4-44000000000000004-40000004-40000-222-2-222-200000000000000-222-2-222-200000000000000000000000000000000000000
χ914-44-4-44-4400004-4-4400000000000000-44000000-4400002-2-22-222-2000000000000002-2-22-222-200000000000000000000000000000000000000
χ924-44-4-44-4400004-4-4400000000000000-44000000-440000-222-22-2-2200000000000000-222-22-2-2200000000000000000000000000000000000000
χ934-44-4-44-440000-444-4000000000000004-4000000-4400002-2-222-2-2200000000000000-222-2-222-200000000000000000000000000000000000000
χ944-44-4-44-440000-444-4000000000000004-4000000-440000-222-2-222-2000000000000002-2-222-2-2200000000000000000000000000000000000000
χ954-44-4-44-440000-444-400000000000000-440000004-400002-2-22-222-200000000000000-222-22-2-2200000000000000000000000000000000000000
χ964-44-4-44-440000-444-400000000000000-440000004-40000-222-22-2-22000000000000002-2-22-222-200000000000000000000000000000000000000
χ974-4-44-4-444444-444-4-4-4-444-4-44-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44-4-444444-4-4-444-4-444-4-44-44-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-44-4-44444-4444-4-444-4-4-4-4-44-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-4-44444-44-4-44444-4-4-4-4-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-44-40000-444-4-44-44000000000000000000000000000000004-44-40000000000000000000000000000000000000000000000000000
χ1024-4-4-4444-44-44-40000-444-4-44-4400000000000000000000000000000000-44-440000000000000000000000000000000000000000000000000000
χ1034-4-4-4444-44-4-4400004-4-44-444-400000000000000000000000000004-4000000004-4000000000000000000000000000000000000000000000000
χ1044-4-4-4444-44-4-4400004-4-44-444-40000000000000000000000000000-4400000000-44000000000000000000000000000000000000000000000000
χ1054-4-4-4444-4-444-400004-4-444-4-4400000000000000000000000000004-400000000-44000000000000000000000000000000000000000000000000
χ1064-4-4-4444-4-444-400004-4-444-4-440000000000000000000000000000-44000000004-4000000000000000000000000000000000000000000000000
χ1074-4-4-4444-4-44-440000-444-44-44-4000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-44-440000-444-44-44-400000000000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ10988-88-88-8-800000000000000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-88-88-8-80000000000000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8888-8-8-8000000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8888-8-8-800000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000

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