Finite Group Databasebeta

← Group #612043

Character table — Group #612043

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111114444444444448888888888888888888888881111111111111111444444444444888888888888888888888888
order12222222222222224444444444444444444444444444444444442222222222222222444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111
χ101111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1-1-1
χ1722222222-2-2-2-2-2-2-2-222-2-222-2-222-2-200000000000000000000000022222222-2-2-2-2-2-2-2-222-2-222-2-222-2-2000000000000000000000000
χ1822222222-2-2-2-2-2-2-2-222-2-2-2-222-2-22200000000000000000000000022222222-2-2-2-2-2-2-2-222-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000000022222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000
χ21222-2-22-2-2222-2-2-22-2000000002i−2i2i−2i00002i−2i0000000000002-20000222-2-22-2-2222-2-2-22-2000000002i−2i2i−2i00002i−2i0000000000002-20000
χ22222-2-22-2-2222-2-2-22-2000000002i−2i2i−2i0000−2i2i000000000000-220000222-2-22-2-2222-2-2-22-2000000002i−2i2i−2i0000−2i2i000000000000-220000
χ23222-2-22-2-2222-2-2-22-200000000−2i2i−2i2i00002i−2i000000000000-220000222-2-22-2-2222-2-2-22-200000000−2i2i−2i2i00002i−2i000000000000-220000
χ24222-2-22-2-2222-2-2-22-200000000−2i2i−2i2i0000−2i2i0000000000002-20000222-2-22-2-2222-2-2-22-200000000−2i2i−2i2i0000−2i2i0000000000002-20000
χ25222-2-22-2-2-2-2-2222-22000000002i−2i−2i2i0000002i−2i000000002-2000000222-2-22-2-2-2-2-2222-22000000002i−2i−2i2i0000002i−2i000000002-2000000
χ26222-2-22-2-2-2-2-2222-22000000002i−2i−2i2i000000−2i2i00000000-22000000222-2-22-2-2-2-2-2222-22000000002i−2i−2i2i000000−2i2i00000000-22000000
χ27222-2-22-2-2-2-2-2222-2200000000−2i2i2i−2i0000002i−2i00000000-22000000222-2-22-2-2-2-2-2222-2200000000−2i2i2i−2i0000002i−2i00000000-22000000
χ28222-2-22-2-2-2-2-2222-2200000000−2i2i2i−2i000000−2i2i000000002-2000000222-2-22-2-2-2-2-2222-2200000000−2i2i2i−2i000000−2i2i000000002-2000000
χ2922-22-2-22-222-22-2-2-2200002i−2i2i−2i0000002i−2i00000000002-20000000022-22-2-22-222-22-2-2-2200002i−2i2i−2i0000002i−2i00000000002-200000000
χ3022-22-2-22-222-22-2-2-2200002i−2i2i−2i000000−2i2i0000000000-220000000022-22-2-22-222-22-2-2-2200002i−2i2i−2i000000−2i2i0000000000-2200000000
χ3122-22-2-22-222-22-2-2-220000−2i2i−2i2i0000002i−2i0000000000-220000000022-22-2-22-222-22-2-2-220000−2i2i−2i2i0000002i−2i0000000000-2200000000
χ3222-22-2-22-222-22-2-2-220000−2i2i−2i2i000000−2i2i00000000002-20000000022-22-2-22-222-22-2-2-220000−2i2i−2i2i000000−2i2i00000000002-200000000
χ3322-22-2-22-2-2-22-2222-200002i−2i−2i2i00002i−2i00000000002-2000000000022-22-2-22-2-2-22-2222-200002i−2i−2i2i00002i−2i00000000002-20000000000
χ3422-22-2-22-2-2-22-2222-200002i−2i−2i2i0000−2i2i0000000000-22000000000022-22-2-22-2-2-22-2222-200002i−2i−2i2i0000−2i2i0000000000-220000000000
χ3522-22-2-22-2-2-22-2222-20000−2i2i2i−2i00002i−2i0000000000-22000000000022-22-2-22-2-2-22-2222-20000−2i2i2i−2i00002i−2i0000000000-220000000000
χ3622-22-2-22-2-2-22-2222-20000−2i2i2i−2i0000−2i2i00000000002-2000000000022-22-2-22-2-2-22-2222-20000−2i2i2i−2i0000−2i2i00000000002-20000000000
χ372-222-2-2-222-22-22-2-222i−2i2i−2i0000000000000000002i−2i00000000002-22-222-2-2-222-22-22-2-222i−2i2i−2i0000000000000000002i−2i00000000002-2
χ382-222-2-2-222-22-22-2-222i−2i2i−2i000000000000000000−2i2i0000000000-222-222-2-2-222-22-22-2-222i−2i2i−2i000000000000000000−2i2i0000000000-22
χ392-222-2-2-222-22-22-2-22−2i2i−2i2i0000000000000000002i−2i0000000000-222-222-2-2-222-22-22-2-22−2i2i−2i2i0000000000000000002i−2i0000000000-22
χ402-222-2-2-222-22-22-2-22−2i2i−2i2i000000000000000000−2i2i00000000002-22-222-2-2-222-22-22-2-22−2i2i−2i2i000000000000000000−2i2i00000000002-2
χ412-222-2-2-22-22-22-222-22i−2i−2i2i00000000000000002i−2i00000000002-2002-222-2-2-22-22-22-222-22i−2i−2i2i00000000000000002i−2i00000000002-200
χ422-222-2-2-22-22-22-222-22i−2i−2i2i0000000000000000−2i2i0000000000-22002-222-2-2-22-22-22-222-22i−2i−2i2i0000000000000000−2i2i0000000000-2200
χ432-222-2-2-22-22-22-222-2−2i2i2i−2i00000000000000002i−2i0000000000-22002-222-2-2-22-22-22-222-2−2i2i2i−2i00000000000000002i−2i0000000000-2200
χ442-222-2-2-22-22-22-222-2−2i2i2i−2i0000000000000000−2i2i00000000002-2002-222-2-2-22-22-22-222-2−2i2i2i−2i0000000000000000−2i2i00000000002-200
χ4544-4-44-4-4444-4-444-4-400000000000000000000000000000000000044-4-44-4-4444-4-444-4-4000000000000000000000000000000000000
χ4644-4-44-4-44-4-444-4-44400000000000000000000000000000000000044-4-44-4-44-4-444-4-444000000000000000000000000000000000000
χ474-44-44-44-44-444-44-4-40000000000000000000000000000000000004-44-44-44-44-444-44-4-4000000000000000000000000000000000000
χ484-44-44-44-4-44-4-44-4440000000000000000000000000000000000004-44-44-44-4-44-4-44-444000000000000000000000000000000000000
χ494-4-4444-4-44-4-4-4-44440000000000000000000000000000000000004-4-4444-4-44-4-4-4-4444000000000000000000000000000000000000
χ504-4-4444-4-4-44444-4-4-40000000000000000000000000000000000004-4-4444-4-4-44444-4-4-4000000000000000000000000000000000000
χ514-4-4-4-44444-4-444-44-40000000000000000000000000000000000004-4-4-4-44444-4-444-44-4000000000000000000000000000000000000
χ524-4-4-4-4444-444-4-44-440000000000000000000000000000000000004-4-4-4-4444-444-4-44-44000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ551111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ561111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-111-1-111
χ5811111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-111-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ611111111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111111111-1-1
χ621111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-111
χ631111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-111
χ641111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1
χ651111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111
χ661111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ671111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ681111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111
χ6922222222-2-2-2-2-2-2-2-222-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-222222222-2-222-2-222-2-222000000000000000000000000
χ7022222222-2-2-2-2-2-2-2-222-2-2-2-222-2-222000000000000000000000000-2-2-2-2-2-2-2-222222222-2-22222-2-222-2-2000000000000000000000000
χ7122222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-22222222222-2-2-2-22222-2-2000000000000000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-222000000000000000000000000
χ73222-2-22-2-2222-2-2-22-2000000002i−2i2i−2i00002i−2i0000000000002-20000-2-2-222-222-2-2-2222-2200000000−2i2i−2i2i0000−2i2i000000000000-220000
χ74222-2-22-2-2222-2-2-22-2000000002i−2i2i−2i0000−2i2i000000000000-220000-2-2-222-222-2-2-2222-2200000000−2i2i−2i2i00002i−2i0000000000002-20000
χ75222-2-22-2-2222-2-2-22-200000000−2i2i−2i2i00002i−2i000000000000-220000-2-2-222-222-2-2-2222-22000000002i−2i2i−2i0000−2i2i0000000000002-20000
χ76222-2-22-2-2222-2-2-22-200000000−2i2i−2i2i0000−2i2i0000000000002-20000-2-2-222-222-2-2-2222-22000000002i−2i2i−2i00002i−2i000000000000-220000
χ77222-2-22-2-2-2-2-2222-22000000002i−2i−2i2i0000002i−2i000000002-2000000-2-2-222-222222-2-2-22-200000000−2i2i2i−2i000000−2i2i00000000-22000000
χ78222-2-22-2-2-2-2-2222-22000000002i−2i−2i2i000000−2i2i00000000-22000000-2-2-222-222222-2-2-22-200000000−2i2i2i−2i0000002i−2i000000002-2000000
χ79222-2-22-2-2-2-2-2222-2200000000−2i2i2i−2i0000002i−2i00000000-22000000-2-2-222-222222-2-2-22-2000000002i−2i−2i2i000000−2i2i000000002-2000000
χ80222-2-22-2-2-2-2-2222-2200000000−2i2i2i−2i000000−2i2i000000002-2000000-2-2-222-222222-2-2-22-2000000002i−2i−2i2i0000002i−2i00000000-22000000
χ8122-22-2-22-222-22-2-2-2200002i−2i2i−2i0000002i−2i00000000002-200000000-2-22-222-22-2-22-2222-20000−2i2i−2i2i000000−2i2i0000000000-2200000000
χ8222-22-2-22-222-22-2-2-2200002i−2i2i−2i000000−2i2i0000000000-2200000000-2-22-222-22-2-22-2222-20000−2i2i−2i2i0000002i−2i00000000002-200000000
χ8322-22-2-22-222-22-2-2-220000−2i2i−2i2i0000002i−2i0000000000-2200000000-2-22-222-22-2-22-2222-200002i−2i2i−2i000000−2i2i00000000002-200000000
χ8422-22-2-22-222-22-2-2-220000−2i2i−2i2i000000−2i2i00000000002-200000000-2-22-222-22-2-22-2222-200002i−2i2i−2i0000002i−2i0000000000-2200000000
χ8522-22-2-22-2-2-22-2222-200002i−2i−2i2i00002i−2i00000000002-20000000000-2-22-222-2222-22-2-2-220000−2i2i2i−2i0000−2i2i0000000000-220000000000
χ8622-22-2-22-2-2-22-2222-200002i−2i−2i2i0000−2i2i0000000000-220000000000-2-22-222-2222-22-2-2-220000−2i2i2i−2i00002i−2i00000000002-20000000000
χ8722-22-2-22-2-2-22-2222-20000−2i2i2i−2i00002i−2i0000000000-220000000000-2-22-222-2222-22-2-2-2200002i−2i−2i2i0000−2i2i00000000002-20000000000
χ8822-22-2-22-2-2-22-2222-20000−2i2i2i−2i0000−2i2i00000000002-20000000000-2-22-222-2222-22-2-2-2200002i−2i−2i2i00002i−2i0000000000-220000000000
χ892-222-2-2-222-22-22-2-222i−2i2i−2i0000000000000000002i−2i00000000002-2-22-2-2222-2-22-22-222-2−2i2i−2i2i000000000000000000−2i2i0000000000-22
χ902-222-2-2-222-22-22-2-222i−2i2i−2i000000000000000000−2i2i0000000000-22-22-2-2222-2-22-22-222-2−2i2i−2i2i0000000000000000002i−2i00000000002-2
χ912-222-2-2-222-22-22-2-22−2i2i−2i2i0000000000000000002i−2i0000000000-22-22-2-2222-2-22-22-222-22i−2i2i−2i000000000000000000−2i2i00000000002-2
χ922-222-2-2-222-22-22-2-22−2i2i−2i2i000000000000000000−2i2i00000000002-2-22-2-2222-2-22-22-222-22i−2i2i−2i0000000000000000002i−2i0000000000-22
χ932-222-2-2-22-22-22-222-22i−2i−2i2i00000000000000002i−2i00000000002-200-22-2-2222-22-22-22-2-22−2i2i2i−2i0000000000000000−2i2i0000000000-2200
χ942-222-2-2-22-22-22-222-22i−2i−2i2i0000000000000000−2i2i0000000000-2200-22-2-2222-22-22-22-2-22−2i2i2i−2i00000000000000002i−2i00000000002-200
χ952-222-2-2-22-22-22-222-2−2i2i2i−2i00000000000000002i−2i0000000000-2200-22-2-2222-22-22-22-2-222i−2i−2i2i0000000000000000−2i2i00000000002-200
χ962-222-2-2-22-22-22-222-2−2i2i2i−2i0000000000000000−2i2i00000000002-200-22-2-2222-22-22-22-2-222i−2i−2i2i00000000000000002i−2i0000000000-2200
χ9744-4-44-4-4444-4-444-4-4000000000000000000000000000000000000-4-444-444-4-4-444-4-444000000000000000000000000000000000000
χ9844-4-44-4-44-4-444-4-444000000000000000000000000000000000000-4-444-444-444-4-444-4-4000000000000000000000000000000000000
χ994-44-44-44-44-444-44-4-4000000000000000000000000000000000000-44-44-44-44-44-4-44-444000000000000000000000000000000000000
χ1004-44-44-44-4-44-4-44-444000000000000000000000000000000000000-44-44-44-444-444-44-4-4000000000000000000000000000000000000
χ1014-4-4444-4-44-4-4-4-4444000000000000000000000000000000000000-444-4-4-444-44444-4-4-4000000000000000000000000000000000000
χ1024-4-4444-4-4-44444-4-4-4000000000000000000000000000000000000-444-4-4-4444-4-4-4-4444000000000000000000000000000000000000
χ1034-4-4-4-44444-4-444-44-4000000000000000000000000000000000000-44444-4-4-4-444-4-44-44000000000000000000000000000000000000
χ1044-4-4-4-4444-444-4-44-44000000000000000000000000000000000000-44444-4-4-44-4-444-44-4000000000000000000000000000000000000

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