Finite Group Databasebeta

← Group #286803

Character table — Group #286803

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1111111111-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ11111111111-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-11
χ12111111111-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11
χ14111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-11111-1-11-1
χ15111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ172222222222222-222-2-22-2-2-222-2-2-200000000000022220000-2-2-2-200000000000000
χ182222222222222-222-2-22-2-2-222-2-2-2000000000000-2-2-2-20000222200000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-2-2-222200000000000022-2-20000-2-22200000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-2-2-2222000000000000-2-222000022-2-200000000000000
χ2122222222-222222-2-222-22-2-2-2-222-200000000000000000000000000002-22-2000000
χ2222222222-222222-2-222-22-2-2-2-222-20000000000000000000000000000-22-22000000
χ2322222222-22222-2-2-2-2-2-2-222-2-2-2-22000000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ2422222222-22222-2-2-2-2-2-2-222-2-2-2-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ2522222222-2-2-2-2-22-2-222-22-2-222-2-2200000000000000000000000000002-2-22000000
χ2622222222-2-2-2-2-22-2-222-22-2-222-2-220000000000000000000000000000-222-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ29222-22-2-2-2-222-2-202-20020002-200022−2−222−2−200002i−2i2i−2i0000000000000000i2−i2i2−i200
χ30222-22-2-2-2-222-2-202-20020002-200022−2−222−2−20000−2i2i−2i2i0000000000000000−i2i2−i2i200
χ31222-22-2-2-2-222-2-202-20020002-2000−2−222−2−22200002i−2i2i−2i0000000000000000−i2i2−i2i200
χ32222-22-2-2-2-222-2-202-20020002-2000−2−222−2−2220000−2i2i−2i2i0000000000000000i2−i2i2−i200
χ33222-22-2-2-2-2-2-22202-2002000-2200022−2−2−2−22200002i−2i−2i2i0000000000000000i2−i2−i2i200
χ34222-22-2-2-2-2-2-22202-2002000-2200022−2−2−2−2220000−2i2i2i−2i0000000000000000−i2i2i2−i200
χ35222-22-2-2-2-2-2-22202-2002000-22000−2−22222−2−200002i−2i−2i2i0000000000000000−i2i2i2−i200
χ36222-22-2-2-2-2-2-22202-2002000-22000−2−22222−2−20000−2i2i2i−2i0000000000000000i2−i2−i2i200
χ3722-22-2-2-2220000-22-22-2-222-20000000002i−2i2i−2i2-22-2000000000000002i−2i0000000000
χ3822-22-2-2-2220000-22-22-2-222-20000000002i−2i2i−2i-22-2200000000000000−2i2i0000000000
χ3922-22-2-2-2220000-22-22-2-222-2000000000−2i2i−2i2i2-22-200000000000000−2i2i0000000000
χ4022-22-2-2-2220000-22-22-2-222-2000000000−2i2i−2i2i-22-22000000000000002i−2i0000000000
χ4122-22-2-2-22-200002-22-222-22-2000002i−2i2i−2i00002i−2i−2i2i0000000000002-2000000000000
χ4222-22-2-2-22-200002-22-222-22-2000002i−2i2i−2i0000−2i2i2i−2i000000000000-22000000000000
χ4322-22-2-2-22-200002-22-222-22-200000−2i2i−2i2i00002i−2i−2i2i000000000000-22000000000000
χ4422-22-2-2-22-200002-22-222-22-200000−2i2i−2i2i0000−2i2i2i−2i0000000000002-2000000000000
χ45444-44-4-4-4444-4-40-4400-4000-4400000000000000000000000000000000000000000
χ46444-44-4-4-44-4-4440-4400-40004-400000000000000000000000000000000000000000
χ4744-44-4-4-444000044-4-44-4-4-440000000000000000000000000000000000000000000
χ4844-44-4-4-44-40000-4-444-444-440000000000000000000000000000000000000000000
χ4944-4-4-444-4400000-4-4004000000002i2−2i2−2i22i20000000000000000000000000000000000
χ5044-4-4-444-4400000-4-400400000000−2i22i22i2−2i20000000000000000000000000000000000
χ5144-4-4-444-4-4000004400-40000000000002i2−2i2−2i22i2000000000000000000000000000000
χ5244-4-4-444-4-4000004400-4000000000000−2i22i22i2−2i2000000000000000000000000000000
χ534-44-4-44-44000004004-40-4000000000000000000000002i2−2i22i2−2i2000000000000000000
χ544-44-4-44-44000004004-40-400000000000000000000000−2i22i2−2i22i2000000000000000000
χ554-44-4-44-4400000-400-44040000000000000000000000022−22−2222000000000000000000
χ564-44-4-44-4400000-400-440400000000000000000000000−222222−22000000000000000000
χ574-4-4444-4-404-44-400000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ584-4-4444-4-404-44-40000000000000000000000000000000000−2i22i2−2i22i200000000000000
χ594-4-4444-4-40-44-4400000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ604-4-4444-4-40-44-440000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ614-4-4-44-44404-4-44400-4-40400004-4000000000000000000000000000000000000000
χ624-4-4-44-44404-4-44-400440-40000-44000000000000000000000000000000000000000
χ634-4-4-44-4440-444-4400-4-4040000-44000000000000000000000000000000000000000
χ644-4-4-44-4440-444-4-400440-400004-4000000000000000000000000000000000000000
χ658-888-8-88-8000000000000000000000000000000000000000000000000000000000

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