Finite Group Databasebeta

← Group #72234609

Character table — Group #72234609

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111122222222224444444444444444444444888888888888888888888888888888888888888888888888881616161616161616323232323232323232323232
order1222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1711111-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-111111-11-11-11-11-11-11-111-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ1811111-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-111111-11-11-11-11-11-11-111-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-11-11-11-11-11-11
χ1911111-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-111111-11-11-1-11-11-11-1111-1-1-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-11-11-1-11-11-11-11
χ2011111-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-111111-11-11-1-11-11-11-1111-1-1-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-11-111-11-11-11-1
χ2111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11-111-11-1-11-1111-1-11-11-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-11-111-11-1-11-11
χ2211111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11-111-11-1-11-1111-1-11-11-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-1111-11-1-11-111-11-1
χ2311111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11-11-11-111-11-111-1-1-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-111-11-1
χ2411111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111-1-11111111-1-11-11-11-111-11-111-1-1-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-11-11-1-11-11
χ2511111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-111-1-111-1-11-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-111-1-11
χ2611111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-111-1-111-1-11-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-111-1-111-1
χ2711111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-11-111-1-111-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-11-111-1-111-1
χ2811111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-11-111-1-111-1-1-111-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-11-1-111-1-11
χ2911111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-11111-11-111-11-1-11-111-1-1-1111-1-11-111-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-111-11-1-11-111-1
χ3011111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-11111-11-111-11-1-11-111-1-1-1111-1-11-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11-111-11-1-11
χ3111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-11111-11-111-1-111-11-1-11-1-111-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-111-11-1-11
χ3211111-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-11111-11-111-1-111-11-1-11-1-111-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-11-1-111-1-11-111-1
χ332222222222222222-2-2-2-2222222222222-2-2-2-222222200000000-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ342222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-200000000-2-2-2-20000000022222222000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-200000000222200000000-2-2-2-22222000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222000000002222000000002222-2-2-2-2000000000000000000000000000000000000
χ37222222222-2-2-2-22-2-222-2-222220000000022-2-2-2-20000000022222-22-2000022220000000000000000-2-2-2-2-2-2-2-200000000000000000000
χ38222222222-2-2-2-22-2-222-2-222220000000022-2-2-2-200000000-2-2-2-22-22-20000-2-2-2-200000000000000002222222200000000000000000000
χ39222222222-2-2-2-22-2-222-2-2-2-2-2-20000000022-2-2220000000022-2-2-22-22000022-2-20000000000000000-2-2-2-2222200000000000000000000
χ40222222222-2-2-2-22-2-222-2-2-2-2-2-20000000022-2-22200000000-2-222-22-220000-2-22200000000000000002222-2-2-2-200000000000000000000
χ41222222222-2-2-2-22-2-2-2-222222200000000-2-222-2-2000022220000-22-222222000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ42222222222-2-2-2-22-2-2-2-222222200000000-2-222-2-20000-2-2-2-20000-22-22-2-2-2-2000000000000222222220000000000000000000000000000
χ43222222222-2-2-2-22-2-2-2-222-2-2-2-200000000-2-22222000022-2-200002-22-222-2-2000000000000-2-2-2-222220000000000000000000000000000
χ44222222222-2-2-2-22-2-2-2-222-2-2-2-200000000-2-222220000-2-22200002-22-2-2-2220000000000002222-2-2-2-20000000000000000000000000000
χ4522222-2-2-2-222222-2-2222222-2-222-2-222-2-2-2-2-2-22-22-22-200000000-2-22200000000-2-222-2-222000000000000000000000000000000000000
χ4622222-2-2-2-222222-2-2222222-2-2-2-222-2-222-2-2-2-22-2-22-2200000000-2-2220000000022-2-222-2-2000000000000000000000000000000000000
χ4722222-2-2-2-222222-2-22222-2-22222-2-2-2-222-2-2-2-2-222-2-220000000022-2-200000000-2-22222-2-2000000000000000000000000000000000000
χ4822222-2-2-2-222222-2-22222-2-222-2-22222-2-2-2-2-2-2-22-222-20000000022-2-20000000022-2-2-2-222000000000000000000000000000000000000
χ4922222-2-2-2-2-2-2-2-222222-2-222-2-200000000-2-222-2200002-22-20000-222-22-22-2000000000000-2-222-2-2220000000000000000000000000000
χ5022222-2-2-2-2-2-2-2-222222-2-222-2-200000000-2-222-220000-22-220000-222-2-22-2200000000000022-2-222-2-20000000000000000000000000000
χ5122222-2-2-2-2-2-2-2-222222-2-2-2-22200000000-2-2222-200002-2-2200002-2-222-2-22000000000000-2-22222-2-20000000000000000000000000000
χ5222222-2-2-2-2-2-2-2-222222-2-2-2-22200000000-2-2222-20000-222-200002-2-22-222-200000000000022-2-2-2-2220000000000000000000000000000
χ5322222-2-2-2-2-2-2-2-2222-2-22222-2-20000000022-2-2-22000000002-22-22-2-2200002-22-20000000000000000-2-222-2-22200000000000000000000
χ5422222-2-2-2-2-2-2-2-2222-2-22222-2-20000000022-2-2-2200000000-22-222-2-220000-22-22000000000000000022-2-222-2-200000000000000000000
χ5522222-2-2-2-2-2-2-2-2222-2-222-2-2220000000022-2-22-2000000002-2-22-222-200002-2-220000000000000000-2-22222-2-200000000000000000000
χ5622222-2-2-2-2-2-2-2-2222-2-222-2-2220000000022-2-22-200000000-222-2-222-20000-222-2000000000000000022-2-2-2-22200000000000000000000
χ572222-222-2-222-2-2-22-22-22-20000000022222-22-20000-2-200222200000000-2-2-2-20000002-22-200002-22-22-22-2000000000000000000000000
χ582222-222-2-222-2-2-22-22-22-20000000022222-22-20000-2-200-2-2-2-20000000022220000002-22-20000-22-22-22-22000000000000000000000000
χ592222-222-2-222-2-2-22-22-22-200000000-2-2-2-22-22-20000220022-2-200000000-2-222000000-22-2200002-22-2-22-22000000000000000000000000
χ602222-222-2-222-2-2-22-22-22-200000000-2-2-2-22-22-200002200-2-2220000000022-2-2000000-22-220000-22-222-22-2000000000000000000000000
χ612222-222-2-222-2-2-22-2-22-22000000002222-22-220000-2-2220000220000-2-20000-2-20000-22-222-22-2000000002-22-200000000000000000000
χ622222-222-2-222-2-2-22-2-22-22000000002222-22-220000-2-2-2-20000-2-20000220000220000-22-22-22-2200000000-22-2200000000000000000000
χ632222-222-2-222-2-2-22-2-22-2200000000-2-2-2-2-22-22000022220000-2-20000-2-200002200002-22-22-22-200000000-22-2200000000000000000000
χ642222-222-2-222-2-2-22-2-22-2200000000-2-2-2-2-22-22000022-2-20000220000220000-2-200002-22-2-22-22000000002-22-200000000000000000000
χ652222-222-2-2-2-222-2-222-2-220000222200002-2-2200-2-200220022000000-2-200-2-2002-22-20000-22-220000-22-22000000000000000000000000
χ662222-222-2-2-2-222-2-222-2-220000222200002-2-2200-2-200-2-200-2-2000000220022002-22-200002-22-200002-22-2000000000000000000000000
χ672222-222-2-2-2-222-2-222-2-220000-2-2-2-200002-2-220022002200-2-2000000-2-2002200-22-220000-22-2200002-22-2000000000000000000000000
χ682222-222-2-2-2-222-2-222-2-220000-2-2-2-200002-2-22002200-2-200220000002200-2-200-22-2200002-22-20000-22-22000000000000000000000000
χ692222-222-2-2-2-222-2-22-222-2000022220000-222-200-2-20000220022000000-2-200-2-2-22-2200000000-22-220000-22-2200000000000000000000
χ702222-222-2-2-2-222-2-22-222-2000022220000-222-200-2-20000-2-200-2-2000000220022-22-22000000002-22-200002-22-200000000000000000000
χ712222-222-2-2-2-222-2-22-222-20000-2-2-2-20000-222-2002200002200-2-2000000-2-200222-22-200000000-22-2200002-22-200000000000000000000
χ722222-222-2-2-2-222-2-22-222-20000-2-2-2-20000-222-200220000-2-200220000002200-2-22-22-2000000002-22-20000-22-2200000000000000000000
χ732222-2-2-22222-2-2-2-222-22-20000000022-2-2-22-220000-222-200002-20000-220000-220000-222-22-2-22000000002-2-2200000000000000000000
χ742222-2-2-22222-2-2-2-222-22-20000000022-2-2-22-220000-22-220000-2200002-200002-20000-222-2-222-200000000-222-200000000000000000000
χ752222-2-2-22222-2-2-2-222-22-200000000-2-222-22-2200002-22-20000-220000-2200002-200002-2-222-2-2200000000-222-200000000000000000000
χ762222-2-2-22222-2-2-2-222-22-200000000-2-222-22-2200002-2-2200002-200002-20000-2200002-2-22-222-2000000002-2-2200000000000000000000
χ772222-2-2-22222-2-2-2-22-22-220000000022-2-22-22-20000-22002-22-200000000-22-220000002-2-2200002-2-222-2-22000000000000000000000000
χ782222-2-2-22222-2-2-2-22-22-220000000022-2-22-22-20000-2200-22-22000000002-22-20000002-2-220000-222-2-222-2000000000000000000000000
χ792222-2-2-22222-2-2-2-22-22-2200000000-2-2222-22-200002-2002-2-2200000000-222-2000000-222-200002-2-22-222-2000000000000000000000000
χ802222-2-2-22222-2-2-2-22-22-2200000000-2-2222-22-200002-200-222-2000000002-2-22000000-222-20000-222-22-2-22000000000000000000000000
χ812222-2-2-222-2-222-22-22-2-22000022-2-20000-222-200-2200002-2002-2000000-2200-22-222-200000000-222-20000-222-200000000000000000000
χ822222-2-2-222-2-222-22-22-2-22000022-2-20000-222-200-220000-2200-220000002-2002-2-222-2000000002-2-2200002-2-2200000000000000000000
χ832222-2-2-222-2-222-22-22-2-220000-2-2220000-222-2002-200002-200-22000000-22002-22-2-2200000000-222-200002-2-2200000000000000000000
χ842222-2-2-222-2-222-22-22-2-220000-2-2220000-222-2002-20000-22002-20000002-200-222-2-22000000002-2-220000-222-200000000000000000000
χ852222-2-2-222-2-222-22-2-222-2000022-2-200002-2-2200-22002-2002-2000000-2200-22002-2-220000-222-20000-222-2000000000000000000000000
χ862222-2-2-222-2-222-22-2-222-2000022-2-200002-2-2200-2200-2200-220000002-2002-2002-2-2200002-2-2200002-2-22000000000000000000000000
χ872222-2-2-222-2-222-22-2-222-20000-2-22200002-2-22002-2002-200-22000000-22002-200-222-20000-222-200002-2-22000000000000000000000000
χ882222-2-2-222-2-222-22-2-222-20000-2-22200002-2-22002-200-22002-20000002-200-2200-222-200002-2-220000-222-2000000000000000000000000
χ8944-4-444-44-40000-40000004-44-4000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ9044-4-444-44-40000-40000004-44-400000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ9144-4-444-44-40000-4000000-44-44000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ9244-4-444-44-40000-4000000-44-4400000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ9344-4-44-44-440000-40000004-4-44000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ9444-4-44-44-440000-40000004-4-4400000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ9544-4-44-44-440000-4000000-444-4000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ9644-4-44-44-440000-4000000-444-400000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ9788-8-8-88-8-880000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-888-80000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800000008-800000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800000008-80000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-80000000-88000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-80000000-8800000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88000008-800000000000000000008-800000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88000008-80000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-8800000-88000000000000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-8800000-8800000000000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000

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