Finite Group Databasebeta

← Group #72263065

Character table — Group #72263065

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122222244444444888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232646464646464646464646464
order12222222222222224422222222222222222444442222222222444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11-1-1-1-1-1-1-11111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11-1-1-11111-1-1-1-11111
χ911111111111111-1-1-1-111-1-1-1111111111111-1-1-111-1-111-1-1111111-1-11-111-1-11-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-1-1111-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-111-1-11-111-1-11-111-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-11-1111-1-1-1-111-1-111
χ1111111111111111-1-1-1-111-1-1-1111111111111-1-1-111-1-1-1-1111111-1-1111-1-1-1111-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-1-1111-1-1-111-1-111-1-111
χ1211111111111111-1-1-1-111-1-1-1111111111111-1-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-1111-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-11-11-1-11111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-111-1-111-1-11-111-1-11-111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1111-1-11-1-1-111-1-11111-1-1
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-11-111-1-11-111-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1111-1-11-1-11111-1-1-1-111
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1111-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1111-1-11-111-1-111-1-1-1-111
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-111-1-111-1-1111-1-1-1111-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-1111-1-1111-1-1-1-11111-1-1
χ171111111111-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-111-1-11-11-111111-11-1-111-11-1-111-11-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-11-111-11-11-11-11-11-1
χ181111111111-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-111-1-11-11-1-1-1-1-11-11-1-111-11-1-111-11-111-1-1-1-111-1-111-1-1-1-111-1-11111-111-1111-11-11-1-11-11-11-11
χ191111111111-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-111-1-1-11-111111-11-11-11-11-11-11-11-11-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-11-11-11-11-11-11-11-11
χ201111111111-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-111-1-1-11-11-1-1-1-1-11-11-11-11-11-11-11-1111-1-1-1-111-1-111-1-1-1-111-1-11111-111-1111-1-11-111-11-11-11-1
χ211111111111-1-1-1-111-1-1-1-1111-1-1-1-111111111-1-1-111-1-11-11-111-1-11-11-1-111-11-1-111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-111-1-11-11-11-11-111-11-1
χ221111111111-1-1-1-111-1-1-1-1111-1-1-1-111111111-1-1-111-1-11-11-1-1-1111-11-1-111-11-1-111-11-11111-1-111-1-1111111-1-111-1-1-1-11-1-11-1-11-1-11-111-11-1-11-11
χ231111111111-1-1-1-111-1-1-1-1111-1-1-1-111111111-1-1-111-1-1-11-1111-1-1-11-11-11-11-11-11-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-111-1-111-11-11-11-1-11-11
χ241111111111-1-1-1-111-1-1-1-1111-1-1-1-111111111-1-1-111-1-1-11-11-1-111-11-11-11-11-11-11-11-111111-1-111-1-1111111-1-111-1-1-1-11-1-11-1-11-11-11-1-11-111-11-1
χ251111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111111111-1-1111111-1-11-1-11-1-11-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-111-11-11-11-1-11-1-111-1-111-1-11
χ261111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111111111-1-11-1-1-1-11-1-11-1-11-1-11-1-11-1-11-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1111111-1-11-111-1-111-1
χ271111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111111-111-11111-111-1-1-1-111-1-1-1-111-111-1-1-1-1-1-1111111-1-1-1-111-1-111-11-11-11-1-1-111-1-111-1-111-1
χ281111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111111-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-111111-111-11-1-111-1-11
χ291111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-11-1-11-1-11-1-11-1-11-1-111111-1-1-1-11111-1-11111-1-111-1-11-11-11-1-1-1-111-1-111-11-1-11
χ301111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-1111-1-11-1-11-1-11-1-11-1-11-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-1-1-111-111-11-1-11-111-1
χ311111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111111-111-111-1-1-111-1-1-1-111-1-1-1-111-11111-1-1-1-11111-1-11111-1-111-1-11-11-11-1-1-11-1-111-1-11-111-1
χ321111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111111-111-1-1-111-111-1-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-1-1-1111-1-11-111-11-1-11
χ33222222222222222222222-2-22222222222-2-2-2-22-2-22-2000000000000-2-20000-220000000000000000000022220000-20-2-20-200000000000000
χ34222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22-2-22-2000000000000-2-20000-2200000000000000000000-2-2-2-2000020220200000000000000
χ3522222222222222-2-2-2-222-2222222222222-2-222-2-2-2-22000000000000-220000-2-200000000000000000000-2-2-2-20000-20220-200000000000000
χ3622222222222222-2-2-2-222-222-2-2-2-2-2-2-2-222-2-222-2-2-2-22000000000000-220000-2-2000000000000000000002222000020-2-20200000000000000
χ37222222222222-2-222222-222200000000-2-222-2-22-2-2-22000000220000-2-200002-20000002200000000-2-2-2-2000022220-200-2000000000000000
χ38222222222222-2-222222-222200000000-2-222-2-22-2-2-22000000-2-20000-2-200002-2000000-2-20000000022220000-2-2-2-202002000000000000000
χ39222222222222-2-222222-22-2-200000000-2-2-2-222222-2-2000022000000220000-2-200002200-2-2-2-2-2-2-2-200000000000000000022000000000000
χ40222222222222-2-222222-22-2-200000000-2-2-2-222222-2-20000-2-2000000220000-2-20000-2-20022222222000000000000000000-2-2000000000000
χ41222222222222-2-2-2-2-2-22-2-22200000000-2-2-2-2-2-2-222220000220000002-20000-220000-2-20022-2-2-2-2220000000000000000002-2000000000000
χ42222222222222-2-2-2-2-2-22-2-22200000000-2-2-2-2-2-2-222220000-2-20000002-20000-2200002200-2-22222-2-2000000000000000000-22000000000000
χ43222222222222-2-2-2-2-2-22-2-2-2-200000000-2-22222-2-2-22-2000000220000-22000022000000-2-200000000-2-222000022-2-20200-2000000000000000
χ44222222222222-2-2-2-2-2-22-2-2-2-200000000-2-22222-2-2-22-2000000-2-20000-22000022000000220000000022-2-20000-2-2220-2002000000000000000
χ452222222222-2-22222-2-2-2222200000000-2-22222-2-2-22-20000002200002-20000-2-20000002200000000-2-2-2-20000-2-2-2-202002000000000000000
χ462222222222-2-22222-2-2-2222200000000-2-22222-2-2-22-2000000-2-200002-20000-2-2000000-2-2000000002222000022220-200-2000000000000000
χ472222222222-2-22222-2-2-222-2-200000000-2-2-2-2-2-2-22222000022000000-2200002-20000-2-200-2-222-2-222000000000000000000-22000000000000
χ482222222222-2-22222-2-2-222-2-200000000-2-2-2-2-2-2-222220000-2-2000000-2200002-20000220022-2-222-2-20000000000000000002-2000000000000
χ492222222222-2-222-2-222-22-22200000000-2-2-2-222222-2-2000022000000-2-2000022000022002222-2-2-2-2000000000000000000-2-2000000000000
χ502222222222-2-222-2-222-22-22200000000-2-2-2-222222-2-20000-2-2000000-2-20000220000-2-200-2-2-2-2222200000000000000000022000000000000
χ512222222222-2-222-2-222-22-2-2-200000000-2-222-2-22-2-2-22000000220000220000-22000000-2-200000000-2-2220000-2-2220-2002000000000000000
χ522222222222-2-222-2-222-22-2-2-200000000-2-222-2-22-2-2-22000000-2-20000220000-22000000220000000022-2-2000022-2-20200-2000000000000000
χ532222222222-2-2-2-222-2-2-2-22-2-22222-2-2-2-222-2-222-2-2-2-220000000000002-20000220000000000000000000022-2-2000020-220-200000000000000
χ542222222222-2-2-2-222-2-2-2-22-2-2-2-2-2-2222222-2-222-2-2-2-220000000000002-200002200000000000000000000-2-2220000-202-20200000000000000
χ552222222222-2-2-2-2-2-222-2-2-2222222-2-2-2-222-2-2-2-22-2-22-20000000000002200002-200000000000000000000-2-2220000202-20-200000000000000
χ562222222222-2-2-2-2-2-222-2-2-222-2-2-2-2222222-2-2-2-22-2-22-20000000000002200002-20000000000000000000022-2-20000-20-220200000000000000
χ5744444-4-4-4-4444004444-40-40000000000000000-4000022220000-2-2-2-200-2-2-2-200222200000000000000000000000000000000000000000000
χ5844444-4-4-4-4444004444-40-40000000000000000-40000-2-2-2-20000222200222200-2-2-2-200000000000000000000000000000000000000000000
χ5944444-4-4-4-444400-4-4-4-4-40400000000000000004000022-2-20000-2-22200-2-2220022-2-200000000000000000000000000000000000000000000
χ6044444-4-4-4-444400-4-4-4-4-404000000000000000040000-2-222000022-2-20022-2-200-2-22200000000000000000000000000000000000000000000
χ6144444-4-4-4-44-4-40044-4-440-40000000000000000400002-22-20000-22-2200-22-22002-22-200000000000000000000000000000000000000000000
χ6244444-4-4-4-44-4-40044-4-440-4000000000000000040000-22-2200002-22-2002-22-200-22-2200000000000000000000000000000000000000000000
χ6344444-4-4-4-44-4-400-4-4444040000000000000000-400002-2-220000-222-200-222-2002-2-2200000000000000000000000000000000000000000000
χ6444444-4-4-4-44-4-400-4-4444040000000000000000-40000-222-200002-2-22002-2-2200-222-200000000000000000000000000000000000000000000
χ654444-44-4-44-40000000000000000000004-44-40004-40000040000000400000-400000-400000000000000000000000000000000000000000000
χ664444-44-4-44-40000000000000000000004-44-40004-400000-40000000-400000400000400000000000000000000000000000000000000000000
χ674444-44-4-44-40000000000000000000004-4-44000-44000040000000400000-400000-4000000000000000000000000000000000000000000000
χ684444-44-4-44-40000000000000000000004-4-44000-440000-40000000-4000004000004000000000000000000000000000000000000000000000
χ694444-44-4-44-4000000000000000000000-444-4000-4400040000000400000-400000-40000000000000000000000000000000000000000000000
χ704444-44-4-44-4000000000000000000000-444-4000-44000-40000000-40000040000040000000000000000000000000000000000000000000000
χ714444-44-4-44-4000000000000000000000-44-440004-40040000000400000-400000-400000000000000000000000000000000000000000000000
χ724444-44-4-44-4000000000000000000000-44-440004-400-40000000-400000400000400000000000000000000000000000000000000000000000
χ734444-4-444-4-4004400000-404-40000000000004-40000022220000-2-2-2-200222200-2-2-2-200000000000000000000000000000000000000000000
χ744444-4-444-4-4004400000-404-40000000000004-400000-2-2-2-20000222200-2-2-2-200222200000000000000000000000000000000000000000000
χ754444-4-444-4-4004400000-40-44000000000000-440000022-2-20000-2-2220022-2-200-2-22200000000000000000000000000000000000000000000
χ764444-4-444-4-4004400000-40-44000000000000-4400000-2-222000022-2-200-2-2220022-2-200000000000000000000000000000000000000000000
χ774444-4-444-4-400-4-400000404-4000000000000-44000002-22-20000-22-22002-22-200-22-2200000000000000000000000000000000000000000000
χ784444-4-444-4-400-4-400000404-4000000000000-4400000-22-2200002-22-200-22-22002-22-200000000000000000000000000000000000000000000
χ794444-4-444-4-400-4-40000040-440000000000004-4000002-2-220000-222-2002-2-2200-222-200000000000000000000000000000000000000000000
χ804444-4-444-4-400-4-40000040-440000000000004-400000-222-200002-2-2200-222-2002-2-2200000000000000000000000000000000000000000000
χ814-4-44-4000044-4004-44-40000022-2-222-2-2000000000000000002-20000000000000000002-22-22-22-22-200002-22-22-22-200000000000000000000
χ824-4-44-4000044-4004-44-40000022-2-222-2-200000000000000000-22000000000000000000-22-22-22-22-2200002-22-2-22-2200000000000000000000
χ834-4-44-4000044-4004-44-400000-2-222-2-222000000000000000002-20000000000000000002-2-22-22-22-220000-22-222-22-200000000000000000000
χ844-4-44-4000044-4004-44-400000-2-222-2-22200000000000000000-22000000000000000000-222-22-22-22-20000-22-22-22-2200000000000000000000
χ854-4-44-4000044-400-44-440000022-2-222-2-2000000000000000002-2000000000000000000-22-222-22-2-220000-22-222-2-2200000000000000000000
χ864-4-44-4000044-400-44-440000022-2-222-2-200000000000000000-220000000000000000002-22-2-22-222-20000-22-22-222-200000000000000000000
χ874-4-44-4000044-400-44-4400000-2-222-2-222000000000000000002-2000000000000000000-222-2-22-222-200002-22-22-2-2200000000000000000000
χ884-4-44-4000044-400-44-4400000-2-222-2-22200000000000000000-220000000000000000002-2-222-22-2-2200002-22-2-222-200000000000000000000
χ894-4-44-400004-44004-4-440000022-2-2-2-222000000000000000002-20000000000000000002-22-2-222-2-2200002-2-22-22-2200000000000000000000
χ904-4-44-400004-44004-4-440000022-2-2-2-22200000000000000000-22000000000000000000-22-222-2-222-200002-2-222-22-200000000000000000000
χ914-4-44-400004-44004-4-4400000-2-22222-2-2000000000000000002-20000000000000000002-2-222-2-222-20000-222-2-22-2200000000000000000000
χ924-4-44-400004-44004-4-4400000-2-22222-2-200000000000000000-22000000000000000000-222-2-222-2-220000-222-22-22-200000000000000000000
χ934-4-44-400004-4400-444-40000022-2-2-2-222000000000000000002-2000000000000000000-22-22-222-22-20000-222-2-222-200000000000000000000
χ944-4-44-400004-4400-444-40000022-2-2-2-22200000000000000000-220000000000000000002-22-22-2-22-220000-222-22-2-2200000000000000000000
χ954-4-44-400004-4400-444-400000-2-22222-2-2000000000000000002-2000000000000000000-222-22-2-22-2200002-2-22-222-200000000000000000000
χ964-4-44-400004-4400-444-400000-2-22222-2-200000000000000000-220000000000000000002-2-22-222-22-200002-2-222-2-2200000000000000000000
χ9788-8-80800-80000000000000000004-44-4000000000000000000000000000000000004i−4i0000000000004i−4i0000000000000000000000000000
χ9888-8-80800-80000000000000000004-44-400000000000000000000000000000000000−4i4i000000000000−4i4i0000000000000000000000000000
χ9988-8-80800-8000000000000000000-44-44000000000000000000000000000000000004i−4i000000000000−4i4i0000000000000000000000000000
χ10088-8-80800-8000000000000000000-44-4400000000000000000000000000000000000−4i4i0000000000004i−4i0000000000000000000000000000
χ10188-8-80-8008000000000000004-44-400000000000000000004-40000000000000000000000000000004-4000000000000000000000000000000
χ10288-8-80-8008000000000000004-44-40000000000000000000-44000000000000000000000000000000-44000000000000000000000000000000
χ10388-8-80-800800000000000000-44-4400000000000000000004-4000000000000000000000000000000-44000000000000000000000000000000
χ10488-8-80-800800000000000000-44-440000000000000000000-440000000000000000000000000000004-4000000000000000000000000000000
χ1058-88-800-8800008-80000000004-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-8800008-8000000000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-880000-880000000004-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-880000-88000000000-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10916-1616-160016-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-16-1616160000-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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