Finite Group Databasebeta

← Group #475905

Character table — Group #475905

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111111111111122222222888888888888888888888888888816161616161616161616161616161616
order12222222222222224444444444444444444488888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ10111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1
χ12111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111
χ13111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1
χ14111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111
χ15111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ16111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ172222222222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-200000000000000000000000000000000
χ192222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000
χ202222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000000000
χ212222222-2-2-2-2-2-2-22-2222-2-22-2-2000000000000000022-2-20000000000000000002-2002-2
χ222222222-2-2-2-2-2-2-22-2222-2-22-2-2000000000000000022-2-2000000000000000000-2200-22
χ232222222-2-2-2-2-2-2-22-2222-2-22-2-20000000000000000-2-2220000000000000000002-200-22
χ242222222-2-2-2-2-2-2-22-2222-2-22-2-20000000000000000-2-222000000000000000000-22002-2
χ25222-2-2-2-222-222-2-22-22-2-22-22-2200000000000000002-22-200000000002i−2i002i−2i00000000
χ26222-2-2-2-222-222-2-22-22-2-22-22-2200000000000000002-22-20000000000−2i2i00−2i2i00000000
χ27222-2-2-2-222-222-2-22-22-2-22-22-220000000000000000-22-2200000000002i−2i00−2i2i00000000
χ28222-2-2-2-222-222-2-22-22-2-22-22-220000000000000000-22-220000000000−2i2i002i−2i00000000
χ29222-2-2-2-2-2-22-2-222222-2-2-2222-22-2000000002-222-2-22-2-22000000000000000000000000
χ30222-2-2-2-2-2-22-2-222222-2-2-2222-22-2000000002-2-2-222-222-2000000000000000000000000
χ31222-2-2-2-2-2-22-2-222222-2-2-2222-2-2200000000-2222-2-2-222-2000000000000000000000000
χ32222-2-2-2-2-2-22-2-222222-2-2-2222-2-2200000000-22-2-2222-2-22000000000000000000000000
χ33222-2-2-2-2-2-22-2-22222-2222-2-2-222-200000000-220000000022-2-222-2-20000000000000000
χ34222-2-2-2-2-2-22-2-22222-2222-2-2-222-200000000-2200000000-2-222-2-2220000000000000000
χ35222-2-2-2-2-2-22-2-22222-2222-2-2-22-22000000002-20000000022-2-2-2-2220000000000000000
χ36222-2-2-2-2-2-22-2-22222-2222-2-2-22-22000000002-200000000-2-22222-2-20000000000000000
χ372-2-222-2-222-2-2-2222-222-22-2-22-20000000000002-22-2000000000000000000002i−2i002i−2i00
χ382-2-222-2-222-2-2-2222-222-22-2-22-20000000000002-22-200000000000000000000−2i2i00−2i2i00
χ392-2-222-2-222-2-2-2222-222-22-2-22-2000000000000-22-22000000000000000000002i−2i00−2i2i00
χ402-2-222-2-222-2-2-2222-222-22-2-22-2000000000000-22-2200000000000000000000−2i2i002i−2i00
χ412-2-2-2-222-2-2-222222-22-22-2-2-2220000000000002-2-220000000000002-2002-20000000000
χ422-2-2-2-222-2-2-222222-22-22-2-2-2220000000000002-2-22000000000000-2200-220000000000
χ432-2-2-2-222-2-2-222222-22-22-2-2-222000000000000-222-20000000000002-200-220000000000
χ442-2-2-2-222-2-2-222222-22-22-2-2-222000000000000-222-2000000000000-22002-20000000000
χ454444444-4-4-4-4-4-4-44-4-4-4-444-44400000000000000000000000000000000000000000000
χ46444-4-4-4-444-444-4-44-4-444-44-44-400000000000000000000000000000000000000000000
χ4744-44-44-44-444-44-4-4-4000000000000004-4000000000000000000000000000000000000
χ4844-44-44-44-444-44-4-4-400000000000000-44000000000000000000000000000000000000
χ4944-44-44-4-44-4-44-44-4400000000000000000000000000002i2−2i22i2−2i200000000000000000000
χ5044-44-44-4-44-4-44-44-440000000000000000000000000000−2i22i2−2i22i200000000000000000000
χ5144-4-44-444-4-44-4-44-4400000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5244-4-44-444-4-44-4-44-440000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ5344-4-44-44-444-444-4-4-400000000000000004-40000000000000000000000000000000000
χ5444-4-44-44-444-444-4-4-40000000000000000-440000000000000000000000000000000000
χ554-444-4-444-4-4-444-4-44000000000000000000000000000000002i2−2i22i2−2i20000000000000000
χ564-444-4-444-4-4-444-4-4400000000000000000000000000000000−2i22i2−2i22i20000000000000000
χ574-444-4-44-4444-4-44-4-400000000004-40000000000000000000000000000000000000000
χ584-444-4-44-4444-4-44-4-40000000000-440000000000000000000000000000000000000000
χ594-44-444-44-44-44-44-4-40000000000004-400000000000000000000000000000000000000
χ604-44-444-44-44-44-44-4-4000000000000-4400000000000000000000000000000000000000
χ614-44-444-4-44-44-44-4-44000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ624-44-444-4-44-44-44-4-4400000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ634-4-444-4-444-4-4-4444-4-4-44-444-4400000000000000000000000000000000000000000000
χ644-4-444-4-4-4-4444-4-44444-4-44-4-4400000000000000000000000000000000000000000000
χ654-4-444-4-4-4-4444-4-444-4-444-444-400000000000000000000000000000000000000000000
χ664-4-4-4-444444-4-4-4-4444-4444-4-4-400000000000000000000000000000000000000000000
χ674-4-4-4-444444-4-4-4-444-44-4-4-444400000000000000000000000000000000000000000000
χ684-4-4-4-444-4-4-444444-4-44-4444-4-400000000000000000000000000000000000000000000

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