Finite Group Databasebeta

← Group #293926

Character table — Group #293926

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222444444444444444444444444444444488888888888888888888888822224422
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ5111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ9111111111111-1-1-1-111111-1-1-1-11-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11-11-1
χ10111111111111-1-1-1-111111-1-1-1-11-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-11-1-11
χ11111111111111-1-1-1-111111-1-1-1-11-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-11-11-11
χ12111111111111-1-1-1-111111-1-1-1-11-11111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-111-1
χ13111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-11
χ14111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-111-1
χ15111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-11-1
χ16111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-111-1-11
χ172222222222-2-2222222-2-2-222-2-2-2-200002222000000000000000000000000000000-2-20000
χ182222222222-2-2222222-2-2-222-2-2-2-20000-2-2-2-2000000000000000000000000000000220000
χ192222222222-2-2-2-2-2-222-2-2-2-2-222-22000022-2-2000000000000000000000000000000-220000
χ202222222222-2-2-2-2-2-222-2-2-2-2-222-220000-2-2220000000000000000000000000000002-20000
χ2122222222-2-2222222-2-222-2-2-222-2-20000000022220000000000000000000000000000-2-200
χ2222222222-2-2222222-2-222-2-2-222-2-200000000-2-2-2-200000000000000000000000000002200
χ2322222222-2-222-2-2-2-2-2-222-222-2-2-220000000022-2-20000000000000000000000000000-2200
χ2422222222-2-222-2-2-2-2-2-222-222-2-2-2200000000-2-22200000000000000000000000000002-200
χ2522222222-2-2-2-22222-2-2-2-22-2-2-2-22222-2-2000000000000000000000000000000002-2000000
χ2622222222-2-2-2-22222-2-2-2-22-2-2-2-222-2-22200000000000000000000000000000000-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-222-2-200000000000000000000000000000000-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-222000000000000000000000000000000002-2000000
χ29222-22-2-2-2220022-2-2-2-20002-2000000002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i20000000022−2−222−2−200000000
χ30222-22-2-2-2220022-2-2-2-20002-2000000002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i200000000−2−222−2−22200000000
χ31222-22-2-2-2220022-2-2-2-20002-200000000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i200000000−2−222−2−22200000000
χ32222-22-2-2-2220022-2-2-2-20002-200000000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i20000000022−2−222−2−200000000
χ33222-22-2-2-22200-2-222-2-2000-22000000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i20000000022−2−2−2−22200000000
χ34222-22-2-2-22200-2-222-2-2000-22000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i200000000−2−22222−2−200000000
χ35222-22-2-2-22200-2-222-2-2000-2200000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i200000000−2−22222−2−200000000
χ36222-22-2-2-22200-2-222-2-2000-2200000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000022−2−2−2−22200000000
χ3722-22-22-2-22-22-200002-22-220000-202i−2i2i−2i0000000000002i−2i2i−2i000022-2-20000000000000000
χ3822-22-22-2-22-22-200002-22-220000-202i−2i2i−2i000000000000−2i2i−2i2i0000-2-2220000000000000000
χ3922-22-22-2-22-22-200002-22-220000-20−2i2i−2i2i0000000000002i−2i2i−2i0000-2-2220000000000000000
χ4022-22-22-2-22-22-200002-22-220000-20−2i2i−2i2i000000000000−2i2i−2i2i000022-2-20000000000000000
χ4122-22-22-2-2-22-220000-22-2220000-202i−2i−2i2i000000002i−2i2i−2i000022-2-200000000000000000000
χ4222-22-22-2-2-22-220000-22-2220000-202i−2i−2i2i00000000−2i2i−2i2i0000-2-22200000000000000000000
χ4322-22-22-2-2-22-220000-22-2220000-20−2i2i2i−2i000000002i−2i2i−2i0000-2-22200000000000000000000
χ4422-22-22-2-2-22-220000-22-2220000-20−2i2i2i−2i00000000−2i2i−2i2i000022-2-200000000000000000000
χ452-2-2-2222-200-2-22-22-200220002-200000000002-22-2000000002−22−22−22−22−22−22−22−200000000
χ462-2-2-2222-200-2-22-22-200220002-200000000002-22-200000000−22−22−22−22−22−22−22−2200000000
χ472-2-2-2222-200-2-22-22-200220002-20000000000-22-22000000002−22−22−22−2−22−22−22−2200000000
χ482-2-2-2222-200-2-22-22-200220002-20000000000-22-2200000000−22−22−22−222−22−22−22−200000000
χ492-2-2-2222-200-2-2-22-220022000-2200000000002-2-22000000002−22−2−22−222−22−2−22−2200000000
χ502-2-2-2222-200-2-2-22-220022000-2200000000002-2-2200000000−22−222−22−2−22−222−22−200000000
χ512-2-2-2222-200-2-2-22-220022000-220000000000-222-2000000002−22−2−22−22−22−222−22−200000000
χ522-2-2-2222-200-2-2-22-220022000-220000000000-222-200000000−22−222−22−22−22−2−22−2200000000
χ53444-44-4-4-4-4-40044-4-444000-44000000000000000000000000000000000000000000000000
χ54444-44-4-4-4-4-400-4-444440004-4000000000000000000000000000000000000000000000000
χ5544-44-44-4-44-4-4400004-4-44-400004000000000000000000000000000000000000000000000
χ5644-44-44-4-4-444-40000-444-4-400004000000000000000000000000000000000000000000000
χ5744-4-4-4-4444-4000000-44000000000000000000000000022−22−2222000000000000000000000000
χ5844-4-4-4-4444-4000000-440000000000000000000000000−222222−22000000000000000000000000
χ5944-4-4-4-444-440000004-400000000000000000000022−22−22220000000000000000000000000000
χ6044-4-4-4-444-440000004-4000000000000000000000−222222−220000000000000000000000000000
χ614-44-4-44-44004-4000000-4400000000000000000000000000022−22−222200000000000000000000
χ624-44-4-44-44004-4000000-44000000000000000000000000000−222222−2200000000000000000000
χ634-44-4-44-4400-440000004-4000000000000000000000000000000022−22−22220000000000000000
χ644-44-4-44-4400-440000004-40000000000000000000000000000000−222222−220000000000000000
χ654-4-444-4-4400004-4-440000000000000000000000000000000000000002-2-222-2-2200000000
χ664-4-444-4-4400004-4-44000000000000000000000000000000000000000-222-2-222-200000000
χ674-4-444-4-440000-444-40000000000000000000000000000000000000002-2-22-222-200000000
χ684-4-444-4-440000-444-4000000000000000000000000000000000000000-222-22-2-2200000000
χ694-4-4-4444-400444-44-400-4-4000-440000000000000000000000000000000000000000000000
χ704-4-4-4444-40044-44-4400-4-40004-40000000000000000000000000000000000000000000000
χ718-888-8-88-8000000000000000000000000000000000000000000000000000000000000000

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