Finite Group Databasebeta

← Group #72233840

Character table — Group #72233840

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size111122222244444444888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232326464646464646464
order12222222222222444422222244444444444444442222222222444444444444444444444444442244444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-11-1-111111111-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-1111111111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-1-1111-1-11111111111111-1-1-1-1
χ9111111111111-1-11111111-1-1-1111-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-11111111-1-1-1111-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-111111-1-1-1-1111111-1-1-1-111
χ11111111111111-1-11111111-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-11111-1-111-1-111
χ12111111111111-1-11111111-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-111-1111111111-1-1-1-1-1-11111-1-1
χ13111111111111-1-11111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1111111-1-1111-1-1-1-111-1-1-111-1-111111-1-1-1-1-1-111-1-111
χ14111111111111-1-11111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111111-1-1-11-1-1-1-1-11111-1-11111-1-1
χ15111111111111-1-11111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1111111-1-1111-1-1-1-111-1-1-111-1-11-1-1-1-1111111-1-111-1-1
χ16111111111111-1-11111111-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-111111-1-1-11-11111-1-1-1-111-1-1-1-111
χ171111111111-1-111-1-1-1-1-1-1-11-1-11-1-111-1-111111111111-1-1111-11-1111-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-11-111-1-11111-1-111-1-11-11-11-11-1
χ181111111111-1-111-1-1-1-1-1-1-11-1-11-1-111-1-111111111111-1-1111-11-1111-1-1-1111-1-1-1-1-1-1-1-1-111111111-11-1111-1-11-1-11-1-1-1-1-111-1-1111-11-1-11-11
χ191111111111-1-111-1-1-1-1-1-1-11-1-11-1-111-1-111111111111-1-111-11-11-1-1-1111-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-11-111-11-111-1-111-1-111-1-111-11-11-11-11
χ201111111111-1-111-1-1-1-1-1-1-11-1-11-1-111-1-111111111111-1-111-11-11-1-1-1111-1-1-1111-1-1-1-1-1-111111111-11-1111-1-11-1-11-1-1-111-1-111-1-1-11-111-11-1
χ211111111111-1-111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-11111111-1-1-1-11-11-1111-1-1-1111-1-1-1111111-1-1-1-1-1-11111-11-1-111-1-1-1111-111-1-111-1-1-11-11-11-11
χ221111111111-1-111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-11111111-1-1-1-11-11-1111-1-1-1111-1-1-1-1-111-1-1111111-1-11-11-1-1-11-1111-11-11-1-111-1-111-11-111-11-1
χ231111111111-1-111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-11-11-1-1-1111-1-1-1111111111-1-1-1-1-1-11111-11-1-111-1-1-1111-1-1-111-1-1111-11-11-11-1
χ241111111111-1-111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-11-11-1-1-1111-1-1-1111-1-111-1-1111111-1-11-11-1-1-11-1111-11-1111-1-111-1-11-11-1-11-11
χ251111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-111-1-11-1-11111-1-1-1-1-1-111111-1-111-1-1-1-111111-11-11-11-111-11-1-1-111-1-1-1-1111-1-111-1-11
χ261111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-111-1-11-1-11111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-111-111-1-11-1-111-1-11111-1-11-1-11-111-1
χ271111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-111-1-1-111-1-1-1-1111111-1-1-111-1-111-1-1-1-111111-11-11-11-111-11-1-1-1-1-11111-1-1-111-1-111-1
χ281111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-111-1-11-1-11111-1-1-1-111-111-11-1-11
χ291111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111-1-111111-1-11111-1-1-1-1-1-1111111111-1-1-1-111-1-1-11-11-11-1-11-11-11-1111-1-1-1-111-111-1-111-1
χ301111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111-1-111111-1-11111-1-1-1-1-1-1111-1-111-1-11111-1-111-1-11-1-11-11-11-1111-1-1-11111-1-1-111-11-1-11
χ311111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111-1-11111-111-1-1-1-1111111-1-1-1111111-1-1-1-111-1-1-11-11-11-1-11-11-11-11-1-11111-1-11-1-111-1-11
χ321111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-111111-1-11111-111-1-1-1-1111111-1-1-1-1-111-1-11111-1-111-1-11-1-11-11-11-1111-111-1-1-1-1111-1-11-111-1
χ332222222222222222222-2-2222-2-2-2-2-2-2-2222222-2-2-22-22-2220000000000000000002200000000002000-2-2-200000-2000000000000000000
χ342222222222222222222-2-2222-2-2-2-2-2-2-2-2-2-2-222-2-2-22-22-2-2-2000000000000000000-2-20000000000-2000222000002000000000000000000
χ3522222222222222-2-2-2-22222-2-22-2-222-2-20000-2-2-2-22-2-2220000000000000000002200-2-222-2-2-2-2000000000220000-200000000000000000
χ3622222222222222-2-2-2-22222-2-22-2-222-2-20000-2-2-2-22-2-222000000000000000000-2-20022-2-22222000000000-2-20000200000000000000000
χ3722222222222222-2-2-2-22-2-22-2-2-222-2-2220000-2-222-2-222-20000000000000000000000000000002202-2-2000002-2-20020000000000000000
χ3822222222222222-2-2-2-22-2-22-2-2-222-2-2220000-2-222-2-222-2000000000000000000000000000000-2-20-22200000-22200-20000000000000000
χ39222222222222-2-222222-2-2-2-2-2-2-2-22222222222-2-2-2-22-22-2-2000000000000000000220000000000-2000-22200000-2000000000000000000
χ40222222222222-2-222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22-2222000000000000000000-2-2000000000020002-2-2000002000000000000000000
χ41222222222222-2-2-2-2-2-2222-2222-2-2-2-2220000-2-2-2-2222-2-20000000000000000002200-2-222-2-222000000000-2-20000200000000000000000
χ42222222222222-2-2-2-2-2-2222-2222-2-2-2-2220000-2-2-2-2222-2-2000000000000000000-2-20022-2-222-2-2000000000220000-200000000000000000
χ43222222222222-2-2-2-2-2-22-2-2-222-22222-2-20000-2-222-22-2-22000000000000000000000000000000220-22200000-2-2-20020000000000000000
χ44222222222222-2-2-2-2-2-22-2-2-222-22222-2-20000-2-222-22-2-22000000000000000000000000000000-2-202-2-20000022200-20000000000000000
χ452222222222-2-2222222-222222-2-2-2-2-2-2-20000-2-222-2-22-2200000000000000000000000000000022022-200000-22-200-20000000000000000
χ462222222222-2-2222222-222222-2-2-2-2-2-2-20000-2-222-2-22-22000000000000000000000000000000-2-20-2-22000002-220020000000000000000
χ472222222222-2-2222222-2-2-222222222220000-2-2-2-22-2-2-2-20000000000000000002200-2-2-2-222220000000002-20000-200000000000000000
χ482222222222-2-2222222-2-2-222222222220000-2-2-2-22-2-2-2-2000000000000000000-2-2002222-2-2-2-2000000000-220000200000000000000000
χ492222222222-2-222-2-2-2-2-2222-2-2-222-2-222222222-2-2-22-2-2222000000000000000000-2-20000000000-2000-2-22000002000000000000000000
χ502222222222-2-222-2-2-2-2-2222-2-2-222-2-222-2-2-2-222-2-2-22-2-22-2-2000000000000000000220000000000200022-200000-2000000000000000000
χ512222222222-2-2-2-22222-222-2-2-2-2-2-222220000-2-222-22-22-2000000000000000000000000000000220-2-220000022-200-20000000000000000
χ522222222222-2-2-2-22222-222-2-2-2-2-2-222220000-2-222-22-22-2000000000000000000000000000000-2-2022-200000-2-220020000000000000000
χ532222222222-2-2-2-22222-2-2-2-2-2-2222-2-2-2-20000-2-2-2-2222220000000000000000002200-2-2-2-222-2-2000000000-220000200000000000000000
χ542222222222-2-2-2-22222-2-2-2-2-2-2222-2-2-2-20000-2-2-2-222222000000000000000000-2-2002222-2-2220000000002-20000-200000000000000000
χ552222222222-2-2-2-2-2-2-2-2-222-222-22222-2-2222222-2-2-2-222-2-2-2000000000000000000-2-200000000002000-22-2000002000000000000000000
χ562222222222-2-2-2-2-2-2-2-2-222-222-22222-2-2-2-2-2-222-2-2-2-222-222000000000000000000220000000000-20002-2200000-2000000000000000000
χ57222222-2-2-2-2220022-2-2-22-200022-2000000002-22-2-200000000220000002-2-22-2-22i−2i002i−2i2i−2i2i−2i000000000000000000000002i−2i2i−2i00000000
χ58222222-2-2-2-2220022-2-2-22-200022-2000000002-22-2-200000000220000002-2-22-2-2−2i2i00−2i2i−2i2i−2i2i00000000000000000000000−2i2i−2i2i00000000
χ59222222-2-2-2-2220022-2-2-22-200022-2000000002-22-2-200000000-2-2000000-222-2222i−2i002i−2i2i−2i2i−2i00000000000000000000000−2i2i−2i2i00000000
χ60222222-2-2-2-2220022-2-2-22-200022-2000000002-22-2-200000000-2-2000000-222-222−2i2i00−2i2i−2i2i−2i2i000000000000000000000002i−2i2i−2i00000000
χ61222222-2-2-2-22200-2-222-22-20002-2200000000-22-22-200000022002-2-22-2-20000002i−2i00−2i2i2i−2i−2i2i00000000000000000002i−2i2i−2i000000000000
χ62222222-2-2-2-22200-2-222-22-20002-2200000000-22-22-200000022002-2-22-2-2000000−2i2i002i−2i−2i2i2i−2i0000000000000000000−2i2i−2i2i000000000000
χ63222222-2-2-2-22200-2-222-22-20002-2200000000-22-22-2000000-2-200-222-2220000002i−2i00−2i2i2i−2i−2i2i0000000000000000000−2i2i−2i2i000000000000
χ64222222-2-2-2-22200-2-222-22-20002-2200000000-22-22-2000000-2-200-222-222000000−2i2i002i−2i−2i2i2i−2i00000000000000000002i−2i2i−2i000000000000
χ65222222-2-2-2-2-2-20022-2-22-2200022-200000000-22-22-20000002-2002-2-2-2220000002i−2i00−2i2i−2i2i2i−2i00000000000000000002i−2i−2i2i000000000000
χ66222222-2-2-2-2-2-20022-2-22-2200022-200000000-22-22-20000002-2002-2-2-222000000−2i2i002i−2i2i−2i−2i2i0000000000000000000−2i2i2i−2i000000000000
χ67222222-2-2-2-2-2-20022-2-22-2200022-200000000-22-22-2000000-2200-2222-2-20000002i−2i00−2i2i−2i2i2i−2i0000000000000000000−2i2i2i−2i000000000000
χ68222222-2-2-2-2-2-20022-2-22-2200022-200000000-22-22-2000000-2200-2222-2-2000000−2i2i002i−2i2i−2i−2i2i00000000000000000002i−2i−2i2i000000000000
χ69222222-2-2-2-2-2-200-2-2222-220002-22000000002-22-2-2000000002-20000002-2-2-2222i−2i002i−2i−2i2i−2i2i000000000000000000000002i−2i−2i2i00000000
χ70222222-2-2-2-2-2-200-2-2222-220002-22000000002-22-2-2000000002-20000002-2-2-222−2i2i00−2i2i2i−2i2i−2i00000000000000000000000−2i2i2i−2i00000000
χ71222222-2-2-2-2-2-200-2-2222-220002-22000000002-22-2-200000000-22000000-2222-2-22i−2i002i−2i−2i2i−2i2i00000000000000000000000−2i2i2i−2i00000000
χ72222222-2-2-2-2-2-200-2-2222-220002-22000000002-22-2-200000000-22000000-2222-2-2−2i2i00−2i2i2i−2i2i−2i000000000000000000000002i−2i−2i2i00000000
χ73444444-4-4-4-4440044-4-4-4-44000-4-44000000004-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ74444444-4-4-4-44400-4-444-4-44000-44-400000000-444-440000000000000000000000000000000000000000000000000000000000000000000
χ75444444-4-4-4-4-4-40044-4-444-4000-4-4400000000-444-440000000000000000000000000000000000000000000000000000000000000000000
χ76444444-4-4-4-4-4-400-4-44444-4000-44-4000000004-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ774444-4-44-44-400004-44-40000000004-44-4000000000000000222-2-22-2-22-2-22-222-2000000000000000000000000000000000000000000000
χ784444-4-44-44-400004-44-40000000004-44-4000000000000000-2-2-222-222-222-22-2-22000000000000000000000000000000000000000000000
χ794444-4-44-44-400004-44-4000000000-44-4400000000000000022-22-22-2-22-22-22-2-22000000000000000000000000000000000000000000000
χ804444-4-44-44-400004-44-4000000000-44-44000000000000000-2-22-22-222-22-22-222-2000000000000000000000000000000000000000000000
χ814444-4-44-44-40000-44-440000000004-4-440000000000000002-222-22-22-22-22-2-2-22000000000000000000000000000000000000000000000
χ824444-4-44-44-40000-44-440000000004-4-44000000000000000-22-2-22-22-22-22-2222-2000000000000000000000000000000000000000000000
χ834444-4-44-44-40000-44-44000000000-444-40000000000000002-2-2-2-22-22-222-2222-2000000000000000000000000000000000000000000000
χ844444-4-44-44-40000-44-44000000000-444-4000000000000000-22222-22-22-2-22-2-2-22000000000000000000000000000000000000000000000
χ854444-4-4-44-4400444-4-44000-44-400000000000000000000002-22-2-2-2222-2-2-222-22000000000000000000000000000000000000000000000
χ864444-4-4-44-4400444-4-44000-44-40000000000000000000000-22-2222-2-2-2222-2-22-2000000000000000000000000000000000000000000000
χ874444-4-4-44-440044-444-4000-4-4400000000000000000000002222-2-22-2-22-2-22-22-2000000000000000000000000000000000000000000000
χ884444-4-4-44-440044-444-4000-4-440000000000000000000000-2-2-2-222-222-222-22-22000000000000000000000000000000000000000000000
χ894444-4-4-44-4400-4-44-4-440004-4400000000000000000000002-2-22-2-2222-222-2-22-2000000000000000000000000000000000000000000000
χ904444-4-4-44-4400-4-44-4-440004-440000000000000000000000-222-222-2-2-22-2-222-22000000000000000000000000000000000000000000000
χ914444-4-4-44-4400-4-4-444-400044-4000000000000000000000022-2-2-2-22-2-2222-22-22000000000000000000000000000000000000000000000
χ924444-4-4-44-4400-4-4-444-400044-40000000000000000000000-2-22222-222-2-2-22-22-2000000000000000000000000000000000000000000000
χ9388-8-8000-808008-80000000000000000044-4-40000000004-40000000000000000000000000000000000000000000000000000000000000
χ9488-8-8000-808008-800000000000000000-4-444000000000-440000000000000000000000000000000000000000000000000000000000000
χ9588-8-8000-80800-880000000000000000044-4-4000000000-440000000000000000000000000000000000000000000000000000000000000
χ9688-8-8000-80800-8800000000000000000-4-4440000000004-40000000000000000000000000000000000000000000000000000000000000
χ978-88-800-80800000000000000000000004-44-400000000000000000000000000000000000004-44-40000000000000000000000000000000
χ988-88-800-80800000000000000000000004-44-40000000000000000000000000000000000000-44-440000000000000000000000000000000
χ998-88-800-8080000000000000000000000-44-4400000000000000000000000000000000000004-4-440000000000000000000000000000000
χ1008-88-800-8080000000000000000000000-44-440000000000000000000000000000000000000-444-40000000000000000000000000000000
χ1018-8-88-8800008-800000000000000000004-4-44000000000000000000000000000004-400000000000000000000000000000000000000000
χ1028-8-88-8800008-80000000000000000000-444-400000000000000000000000000000-4400000000000000000000000000000000000000000
χ1038-8-88-880000-8800000000000000000004-4-4400000000000000000000000000000-4400000000000000000000000000000000000000000
χ1048-8-88-880000-880000000000000000000-444-4000000000000000000000000000004-400000000000000000000000000000000000000000
χ1051616-16-16000160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10616-1616-1600160-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10716-16-161616-1600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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