Finite Group Databasebeta

← Group #276190

Character table — Group #276190

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888822244488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111111111-1-1
χ9111111111111111111-1-1-1-1-1-11111-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11
χ10111111111111111111-1-1-1-1-1-11111-1111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-1-1111-1
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1111-1-111-1-11-1
χ1722222222222-2-2-2-22-2-22222-2-20000-222-2-2000000000000000000-20020000000000
χ1822222222222-2-2-2-22-2-22222-2-20000-2-2-222000000000000000000200-20000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-2220000222-2-2000000000000000000200-20000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-22200002-2-222000000000000000000-20020000000000
χ2122222222-2-2-22222-2-2-222-2-2-2-2222220000-2-222-2-200000000000000000000000000
χ2222222222-2-2-22222-2-2-222-2-2-2-2-2-2-2-22000022-2-22200000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-222222222-20000-2-2-2-22200000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-22222-2-2-2-2-200002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2220000-200000000002i2i−2i−2i000000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2220000-20000000000−2i−2i2i2i00000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-222-2-20000200000000002i2i−2i−2i00000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2-2000020000000000−2i−2i2i2i000000000000002i−2i000000
χ29222-2-2-22-200022-2-2000002i−2i2i−2i2i2i−2i−2i0000000002-2000022−2−2i2i2−i2−i200000000i2−i22−200
χ30222-2-2-22-200022-2-2000002i−2i2i−2i2i2i−2i−2i0000000002-20000−2−222−i2−i2i2i200000000−i2i2−2200
χ31222-2-2-22-200022-2-2000002i−2i2i−2i−2i−2i2i2i000000000-22000022−2−2i2i2−i2−i200000000−i2i2−2200
χ32222-2-2-22-200022-2-2000002i−2i2i−2i−2i−2i2i2i000000000-220000−2−222−i2−i2i2i200000000i2−i22−200
χ33222-2-2-22-200022-2-200000−2i2i−2i2i2i2i−2i−2i000000000-22000022−2−2−i2−i2i2i200000000i2−i2−2200
χ34222-2-2-22-200022-2-200000−2i2i−2i2i2i2i−2i−2i000000000-220000−2−222i2i2−i2−i200000000−i2i22−200
χ35222-2-2-22-200022-2-200000−2i2i−2i2i−2i−2i2i2i0000000002-2000022−2−2−i2−i2i2i200000000−i2i22−200
χ36222-2-2-22-200022-2-200000−2i2i−2i2i−2i−2i2i2i0000000002-20000−2−222i2i2−i2−i200000000i2−i2−2200
χ372-2-22-222-22-222-22-2-22-2000000000002i−2i2i−2i000000000000002i−2i2i−2i02-200000000000
χ382-2-22-222-22-222-22-2-22-2000000000002i−2i2i−2i00000000000000−2i2i−2i2i0-2200000000000
χ392-2-22-222-22-222-22-2-22-200000000000−2i2i−2i2i000000000000002i−2i2i−2i0-2200000000000
χ402-2-22-222-22-222-22-2-22-200000000000−2i2i−2i2i00000000000000−2i2i−2i2i02-200000000000
χ412-2-22-222-22-22-22-22-2-22000000000002i−2i−2i2i00000000002-22-2000000002i−2i00000000
χ422-2-22-222-22-22-22-22-2-22000000000002i−2i−2i2i0000000000-22-2200000000−2i2i00000000
χ432-2-22-222-22-22-22-22-2-2200000000000−2i2i2i−2i00000000002-22-200000000−2i2i00000000
χ442-2-22-222-22-22-22-22-2-2200000000000−2i2i2i−2i0000000000-22-22000000002i−2i00000000
χ45444-4-4-44-4000-4-444000004i−4i−4i4i00000000000000000000000000000000000000000
χ46444-4-4-44-4000-4-44400000−4i4i4i−4i00000000000000000000000000000000000000000
χ4744-44-4-4-4400000000004-400002i2−2i22i2−2i200000002i2−2i20000000000000000000000000000
χ4844-44-4-4-4400000000004-40000−2i22i2−2i22i20000000−2i22i20000000000000000000000000000
χ4944-44-4-4-440000000000-4400002i2−2i22i2−2i20000000−2i22i20000000000000000000000000000
χ5044-44-4-4-440000000000-440000−2i22i2−2i22i200000002i2−2i20000000000000000000000000000
χ5144-4-444-4-444-40000-40000000022−22−22220000022−22000000000000000000000000000000
χ5244-4-444-4-444-40000-400000000−222222−2200000−2222000000000000000000000000000000
χ5344-4-444-4-4-4-44000040000000022−22−222200000−2222000000000000000000000000000000
χ5444-4-444-4-4-4-440000400000000−222222−220000022−22000000000000000000000000000000
χ554-44-4-44-444-4-4000040000000000000000000000022−2222−220000000000000000000000
χ564-44-4-44-444-4-40000400000000000000000000000−2222−22220000000000000000000000
χ574-44-4-44-44-4440000-4000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ584-44-4-44-44-4440000-400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ594-4-44-444-4-44-44-44-44-4400000000000000000000000000000000000000000000000
χ604-4-44-444-4-44-4-44-4444-400000000000000000000000000000000000000000000000
χ614-4-4-44-4440004-4-440000000000000000000000000000000022−22−222200000000000000
χ624-4-4-44-4440004-4-4400000000000000000000000000000000−222222−2200000000000000
χ634-4-4-44-444000-444-4000000000000000000000000000022−22−2222000000000000000000
χ644-4-4-44-444000-444-40000000000000000000000000000−222222−22000000000000000000
χ658-8888-8-8-8000000000000000000000000000000000000000000000000000000000

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