Finite Group Databasebeta

← Group #267232

Character table — Group #267232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222222244444444444444444444444888888888888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
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
χ911111111-1-1-1-11111111111-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-11
χ1211111111-1-1-1-11111111111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-11
χ1722222222222222-2-22-2-22-2-222-2-2-22222-2-2-2-2000000000000000000000000000000
χ1822222222222222-2-22-2-22-2-222-2-2-2-2-2-2-22222000000000000000000000000000000
χ19222222222222-2-222-222-2-2-2-2-222-2000000002222-2-2-2-20000000000000000000000
χ20222222222222-2-222-222-2-2-2-2-222-200000000-2-2-2-222220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-220000000000000000000000000000002i−2i2i−2i0000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-22000000000000000000000000000000−2i2i−2i2i0000
χ2322222222-2-2-2-222-2-22-2-22-2-2-2-222222-2-2-2-222000000000000000000000000000000
χ2422222222-2-2-2-222-2-22-2-22-2-2-2-2222-2-22222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-2-222-222-2-2-222-2-220000000022-2-2-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-222-222-2-2-222-2-2200000000-2-22222-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000000000−2i2i2i−2i0000
χ29222-2-2-22-222-2-200-2-2022000002-20000000002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i200002−200002−200
χ30222-2-2-22-222-2-200-2-2022000002-20000000002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i20000−220000−2200
χ31222-2-2-22-222-2-200-2-2022000002-2000000000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i20000−220000−2200
χ32222-2-2-22-222-2-200-2-2022000002-2000000000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i200002−200002−200
χ33222-2-2-22-2-2-22200-2-202200000-220000000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i200002−20000−2200
χ34222-2-2-22-2-2-22200-2-202200000-220000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i20000−2200002−200
χ35222-2-2-22-2-2-22200-2-202200000-22000000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000−2200002−200
χ36222-2-2-22-2-2-22200-2-202200000-22000000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i200002−20000−2200
χ372-2-2-2-222200002-22-2-22-222-2000002-2002-2000000000000002-22-2002-20000000000
χ382-2-2-2-222200002-22-2-22-222-2000002-2002-200000000000000-22-2200-220000000000
χ392-2-2-2-222200002-22-2-22-222-200000-2200-22000000000000002-22-200-220000000000
χ402-2-2-2-222200002-22-2-22-222-200000-2200-2200000000000000-22-22002-20000000000
χ412-2-2-2-222200002-2-22-2-222-22000002-200-2200000000002-22-200002-2000000000000
χ422-2-2-2-222200002-2-22-2-222-22000002-200-220000000000-22-220000-22000000000000
χ432-2-2-2-222200002-2-22-2-222-2200000-22002-200000000002-22-20000-22000000000000
χ442-2-2-2-222200002-2-22-2-222-2200000-22002-20000000000-22-2200002-2000000000000
χ45444-4-4-44-444-4-400440-4-400000-44000000000000000000000000000000000000000
χ46444-4-4-44-4-4-44400440-4-4000004-4000000000000000000000000000000000000000
χ4744-44-44-4-44-44-400000000000000000000000000022−2222−220000000000000000000000
χ4844-44-44-4-44-44-4000000000000000000000000000−2222−22220000000000000000000000
χ4944-44-44-4-4-44-4400000000000000000000000000022−22−22220000000000000000000000
χ5044-44-44-4-4-44-44000000000000000000000000000−222222−220000000000000000000000
χ5144-4-44-4-444-4-444400-400-4004-400000000000000000000000000000000000000000
χ5244-4-44-4-444-4-44-4-400400400-4400000000000000000000000000000000000000000
χ5344-4-44-4-44-444-44400-400-400-4400000000000000000000000000000000000000000
χ5444-4-44-4-44-444-4-4-4004004004-400000000000000000000000000000000000000000
χ554-444-4-4-4400004-400400-400000000000004-4000000000000000000000000000000
χ564-444-4-4-4400004-400400-40000000000000-44000000000000000000000000000000
χ574-444-4-4-440000-4400-40040000000004i−4i0000000000000000000000000000000000
χ584-444-4-4-440000-4400-4004000000000−4i4i0000000000000000000000000000000000
χ594-4-444-44-40000004-40-440000000000000000000000002i2−2i2−2i22i2000000000000000000
χ604-4-444-44-40000004-40-44000000000000000000000000−2i22i22i2−2i2000000000000000000
χ614-4-444-44-4000000-4404-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-444-44-4000000-4404-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-4-4-44440000-444-444-4-4-440000000000000000000000000000000000000000000
χ644-4-4-4-44440000-44-444-44-44-40000000000000000000000000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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