Finite Group Databasebeta

← Group #260451

Character table — Group #260451

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1
χ511111111111111111111111-1-1-1-11-1-1-1-111111-1-111111111-1-11-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ711111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111
χ911111111111111111-1-1-1-1-1-11111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ1011111111111111111-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-111-1-111
χ1111111111111111111-1-1-1-1-1-11111111-1-1-1-1-111-1-11111-1-1-1-1111-1-1-1-1-111-1-11111-1-1
χ1211111111111111111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-111-1-1-1-111
χ1311111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1111111-1-1-1-111-1-1-11-1-11111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-111-1-1-1-1111111-1111-1-1-1-1-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111111111-1-1-1-1-1-1111-111-1-1-1-111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-11111-1-11-1-1-1111111-1-111-1-1
χ1722222222222-2-2-2-22-222-2-2-2-20000-20000222-2-2000000000000200-2000000000000
χ1822222222222-2-2-2-22-222-2-2-2-20000-20000-2-2222000000000000-2002000000000000
χ1922222222222-2-2-2-22-2-2-222220000-2000022-222000000000000-200-2000000000000
χ2022222222222-2-2-2-22-2-2-222220000-20000-2-2-2-2-20000000000002002000000000000
χ2122222222-2-2-22222-2-22222-2-22222-2-2-22200-200-2-200000000000000000000000000
χ2222222222-2-2-22222-2-22222-2-2-2-2-2-2-222-2-200-2002200000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2002002200000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-222-2-2-2-2-2222200200-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22200002000000-20000000000002-200002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22200002000000-2000000000000-220000-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222-2-20000200000020000000000002-20000-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-2-2000020000002000000000000-2200002-20000000000
χ29222-2-2-2-2222-22-22-2-2-20000002i2i−2i−2i22i−2i00000000000000000000000002-2002i−2i0000
χ30222-2-2-2-2222-22-22-2-2-20000002i2i−2i−2i22i−2i0000000000000000000000000-2200−2i2i0000
χ31222-2-2-2-2222-22-22-2-2-2000000−2i−2i2i2i2−2i2i00000000000000000000000002-200−2i2i0000
χ32222-2-2-2-2222-22-22-2-2-2000000−2i−2i2i2i2−2i2i0000000000000000000000000-22002i−2i0000
χ33222-2-2-2-22-2-222-22-2220000002i2i−2i−2i-2−2i2i000000000000000000002i−2i000002-2000000
χ34222-2-2-2-22-2-222-22-2220000002i2i−2i−2i-2−2i2i00000000000000000000−2i2i00000-22000000
χ35222-2-2-2-22-2-222-22-222000000−2i−2i2i2i-22i−2i000000000000000000002i−2i00000-22000000
χ36222-2-2-2-22-2-222-22-222000000−2i−2i2i2i-22i−2i00000000000000000000−2i2i000002-2000000
χ372-2-222-2-2200022-2-2002-22-2002i−2i2i−2i0002i−2i000000022−2−222−2−200000000000000i2−i2i2−i2
χ382-2-222-2-2200022-2-2002-22-2002i−2i2i−2i0002i−2i0000000−2−222−2−22200000000000000−i2i2−i2i2
χ392-2-222-2-2200022-2-2002-22-200−2i2i−2i2i000−2i2i000000022−2−222−2−200000000000000−i2i2−i2i2
χ402-2-222-2-2200022-2-2002-22-200−2i2i−2i2i000−2i2i0000000−2−222−2−22200000000000000i2−i2i2−i2
χ412-2-222-2-2200022-2-200-22-22002i−2i2i−2i000−2i2i000000022−2−2−2−22200000000000000i2−i2−i2i2
χ422-2-222-2-2200022-2-200-22-22002i−2i2i−2i000−2i2i0000000−2−22222−2−200000000000000−i2i2i2−i2
χ432-2-222-2-2200022-2-200-22-2200−2i2i−2i2i0002i−2i000000022−2−2−2−22200000000000000−i2i2i2−i2
χ442-2-222-2-2200022-2-200-22-2200−2i2i−2i2i0002i−2i0000000−2−22222−2−200000000000000i2−i2−i2i2
χ45444-4-4-4-4444-4-44-44-440000000000-40000000000000000000000000000000000000
χ46444-4-4-4-44-4-44-44-444-4000000000040000000000000000000000000000000000000
χ4744-44-4-44-44-440000-400000000000000000004-40000000000000000000000000000
χ4844-44-4-44-44-440000-40000000000000000000-440000000000000000000000000000
χ4944-44-4-44-4-44-40000400000000000000004i−4i0000000000000000000000000000000
χ5044-44-4-44-4-44-4000040000000000000000−4i4i0000000000000000000000000000000
χ5144-4-444-4-44-4-400004000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ5244-4-444-4-44-4-40000400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ5344-4-444-4-4-4440000-400000000000000000000000000022−2222−22000000000000000000
χ5444-4-444-4-4-4440000-4000000000000000000000000000−2222−2222000000000000000000
χ554-44-44-44-400000000000004i−4i00000000000000002i−2i−2i2i2-2-22000000000000000000
χ564-44-44-44-400000000000004i−4i0000000000000000−2i2i2i−2i-222-2000000000000000000
χ574-44-44-44-40000000000000−4i4i00000000000000002i−2i−2i2i-222-2000000000000000000
χ584-44-44-44-40000000000000−4i4i0000000000000000−2i2i2i−2i2-2-22000000000000000000
χ594-4-444-4-44000-4-444004-4-4400000000000000000000000000000000000000000000
χ604-4-444-4-44000-4-44400-444-400000000000000000000000000000000000000000000
χ614-4-4-4-44440004-4-44000000004-4-4400000000000000000000000000000000000000
χ624-4-4-4-44440004-4-4400000000-444-400000000000000000000000000000000000000
χ634-4-4-4-4444000-444-400000000000000000000004-400000000000000000000000000
χ644-4-4-4-4444000-444-40000000000000000000000-4400000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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