Finite Group Databasebeta

← Group #328452

Character table — Group #328452

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444448888888822448888888822
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-11
χ1211111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ1411111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-11
χ1722222222222-2-2-222222-222-2-2-2-200002222-20000-2-2-2-20000000000000000000000
χ1822222222222-2-2-222222-222-2-2-2-20000-2-2-2-2-2000022220000000000000000000000
χ1922222222222-2-2-2-2-2-2-22-2-2-222-2-2000022-2-220000-2-2220000000000000000000000
χ2022222222222-2-2-2-2-2-2-22-2-2-222-2-20000-2-2222000022-2-20000000000000000000000
χ2122222222-2-2-22222222-22-2-222-2-222220000-2-2-2-2-200000000000000000000000000
χ2222222222-2-2-22222222-22-2-222-2-2-2-2-2-20000-2222200000000000000000000000000
χ2322222222-2-2-2222-2-2-2-2-2222-2-2-2-222-2-200002-2-22200000000000000000000000000
χ2422222222-2-2-2222-2-2-2-2-2222-2-2-2-2-2-2220000222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-22200000000200000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-2220000000020000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-200000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000-20000000000000000-222-20000000000
χ29222-2-22-2-200022-222-2-20-2002-2000000000002i−2i2i−2i000022−2−222−2−20000i2−i2i2−i2000000
χ30222-2-22-2-200022-222-2-20-2002-2000000000002i−2i2i−2i0000−2−222−2−2220000−i2i2−i2i2000000
χ31222-2-22-2-200022-222-2-20-2002-200000000000−2i2i−2i2i000022−2−222−2−20000−i2i2−i2i2000000
χ32222-2-22-2-200022-222-2-20-2002-200000000000−2i2i−2i2i0000−2−222−2−2220000i2−i2i2−i2000000
χ33222-2-22-2-200022-2-2-2220-200-22000000000002i−2i−2i2i000022−2−2−2−2220000i2−i2−i2i2000000
χ34222-2-22-2-200022-2-2-2220-200-22000000000002i−2i−2i2i0000−2−22222−2−20000−i2i2i2−i2000000
χ35222-2-22-2-200022-2-2-2220-200-2200000000000−2i2i2i−2i000022−2−2−2−2220000−i2i2i2−i2000000
χ36222-2-22-2-200022-2-2-2220-200-2200000000000−2i2i2i−2i0000−2−22222−2−20000i2−i2−i2i2000000
χ372-2-2222-2-222-20002-22-2-202-2000000000000000002i−2i2i−2i2−22−22−22−200000000i2−i2i2−i200
χ382-2-2222-2-222-20002-22-2-202-2000000000000000002i−2i2i−2i−22−22−22−2200000000−i2i2−i2i200
χ392-2-2222-2-222-20002-22-2-202-200000000000000000−2i2i−2i2i2−22−22−22−200000000−i2i2−i2i200
χ402-2-2222-2-222-20002-22-2-202-200000000000000000−2i2i−2i2i−22−22−22−2200000000i2−i2i2−i200
χ412-2-2222-2-222-2000-22-22-20-22000000000000000002i−2i−2i2i2−22−2−22−2200000000i2−i2−i2i200
χ422-2-2222-2-222-2000-22-22-20-22000000000000000002i−2i−2i2i−22−222−22−200000000−i2i2i2−i200
χ432-2-2222-2-222-2000-22-22-20-2200000000000000000−2i2i2i−2i2−22−2−22−2200000000−i2i2i2−i200
χ442-2-2222-2-222-2000-22-22-20-2200000000000000000−2i2i2i−2i−22−222−22−200000000i2−i2−i2i200
χ45444-4-44-4-4000-4-4444-4-40400-4400000000000000000000000000000000000000000
χ46444-4-44-4-4000-4-44-4-44404004-400000000000000000000000000000000000000000
χ4744-44-4-44-40004-4400000-4000000004i−4i00000000000000000000000000000000000
χ4844-44-4-44-40004-4400000-400000000−4i4i00000000000000000000000000000000000
χ4944-44-4-44-4000-44-40000040000004-40000000000000000000000000000000000000
χ5044-44-4-44-4000-44-4000004000000-440000000000000000000000000000000000000
χ5144-4-44-4-444-444-4-40000-440000-44000000000000000000000000000000000000000
χ5244-4-44-4-444-44-4440000-4-400004-4000000000000000000000000000000000000000
χ5344-4-44-4-44-44-44-4-400004400004-4000000000000000000000000000000000000000
χ5444-4-44-4-44-44-4-44400004-40000-44000000000000000000000000000000000000000
χ554-44-44-44-44-4-40000000400000000000004-40000000000000000000000000000000
χ564-44-44-44-44-4-4000000040000000000000-440000000000000000000000000000000
χ574-44-44-44-4-4440000000-4000000000004i−4i000000000000000000000000000000000
χ584-44-44-44-4-4440000000-400000000000−4i4i000000000000000000000000000000000
χ594-4-4444-4-4-4-440004-44-440-440000000000000000000000000000000000000000000
χ604-4-4444-4-4-4-44000-44-44404-40000000000000000000000000000000000000000000
χ614-4-4-4-44440000004-4-4400000000000000000000000002-2-222-2-2200000000000000
χ624-4-4-4-44440000004-4-440000000000000000000000000-222-2-222-200000000000000
χ634-4-4-4-4444000000-444-400000000000000000000000002-2-22-222-200000000000000
χ644-4-4-4-4444000000-444-40000000000000000000000000-222-22-2-2200000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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