Finite Group Databasebeta

← Group #265479

Character table — Group #265479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122224444444444444444888888888888881616161616161616161616161616161616161616
order12222222222222224444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-1111111111111-1-11111-1-11111-1-11-11-11-11-1-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111111111-1-11111-1-11111-1-1-11-11-11-11-1-1-1-1-1-111-1-111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11111-1-111-1-111
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11111111-1-111-1-1
χ13111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-111-1-11-1-11111-1-1-1-111
χ14111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-111-1-111-1-1-111-1-11111-1-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-11111-1-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-111-1-111-111-1-111-1-1-1-111
χ172222222222222222-2-22222-2-2-2-2-2-2-2-20000220000-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-22222-2-2-2-20000-2-200002200000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2-2-2-2-2220000-2-200002200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-22222-2-2220000220000-2-200000000000000000000
χ2122222222-2-2-2-200002-222-2-222-2-22-20000000000000002020-20-2000000000000
χ2222222222-2-2-2-200002-222-2-222-2-22-2000000000000000-20-20202000000000000
χ2322222222-2-2-2-200002-2-2-222-2-2222-200000000000000020-20-202000000000000
χ2422222222-2-2-2-200002-2-2-222-2-2222-2000000000000000-202020-2000000000000
χ2522222222-2-2-2-20000-2222-2-2-2-222-220000000000000020-20-2020000000000000
χ2622222222-2-2-2-20000-2222-2-2-2-222-2200000000000000-202020-20000000000000
χ2722222222-2-2-2-20000-22-2-22222-2-2-22000000000000002020-20-20000000000000
χ2822222222-2-2-2-20000-22-2-22222-2-2-2200000000000000-20-202020000000000000
χ29222-22-2-2-22-22-222-2-22200000000-2-22-222-2-200000000000000002-20000000000
χ30222-22-2-2-22-22-222-2-22200000000-2-22-2-2-2220000000000000000-220000000000
χ31222-22-2-2-22-22-222-2-2-2-20000000022-220000002i2i−2i−2i0000000000002i−2i00000000
χ32222-22-2-2-22-22-222-2-2-2-20000000022-22000000−2i−2i2i2i000000000000−2i2i00000000
χ33222-22-2-2-22-22-2-2-2222200000000-2-2-2222-2-20000000000000000-220000000000
χ34222-22-2-2-22-22-2-2-2222200000000-2-2-22-2-22200000000000000002-20000000000
χ35222-22-2-2-22-22-2-2-222-2-200000000222-20000002i2i−2i−2i000000000000−2i2i00000000
χ36222-22-2-2-22-22-2-2-222-2-200000000222-2000000−2i−2i2i2i0000000000002i−2i00000000
χ372-2-2222-2-2-2-2222-22-2002-22-20000000000002-2000000000000000000i2−i2i2−i2i2−i2i2−i2
χ382-2-2222-2-2-2-2222-22-2002-22-20000000000002-2000000000000000000−i2i2−i2i2−i2i2−i2i2
χ392-2-2222-2-2-2-2222-22-200-22-22000000000000-22000000000000000000i2−i2i2−i2−i2i2−i2i2
χ402-2-2222-2-2-2-2222-22-200-22-22000000000000-22000000000000000000−i2i2−i2i2i2−i2i2−i2
χ412-2-2222-2-2-2-222-22-22002-22-2000000000000-22000000000000000000i2−i2−i2i2i2−i2−i2i2
χ422-2-2222-2-2-2-222-22-22002-22-2000000000000-22000000000000000000−i2i2i2−i2−i2i2i2−i2
χ432-2-2222-2-2-2-222-22-2200-22-220000000000002-2000000000000000000i2−i2−i2i2−i2i2i2−i2
χ442-2-2222-2-2-2-222-22-2200-22-220000000000002-2000000000000000000−i2i2i2−i2i2−i2−i2i2
χ45444-44-4-4-4-44-4400004-400000000-440000000000000000000000000000000000
χ46444-44-4-4-4-44-440000-44000000004-40000000000000000000000000000000000
χ4744-44-4-4-44000000000000004-40000002i−2i2i−2i002i−2i2i−2i0000000000000000000000
χ4844-44-4-4-44000000000000004-4000000−2i2i−2i2i00−2i2i−2i2i0000000000000000000000
χ4944-44-4-4-4400000000000000-440000002i−2i2i−2i00−2i2i−2i2i0000000000000000000000
χ5044-44-4-4-4400000000000000-44000000−2i2i−2i2i002i−2i2i−2i0000000000000000000000
χ5144-4-4-444-400000000000000004i−4i00002i−2i−2i2i002-2-220000000000000000000000
χ5244-4-4-444-400000000000000004i−4i0000−2i2i2i−2i00-222-20000000000000000000000
χ5344-4-4-444-40000000000000000−4i4i00002i−2i−2i2i00-222-20000000000000000000000
χ5444-4-4-444-40000000000000000−4i4i0000−2i2i2i−2i002-2-220000000000000000000000
χ554-4-4444-4-444-4-40000004-4-440000000000000000000000000000000000000000
χ564-4-4444-4-444-4-4000000-444-40000000000000000000000000000000000000000
χ574-4-4-44-4444-4-4400000000000000000000000000004-400000000000000000000
χ584-4-4-44-4444-4-440000000000000000000000000000-4400000000000000000000
χ594-4-4-44-444-444-44-4-440000000000000000000000000000000000000000000000
χ604-4-4-44-444-444-4-444-40000000000000000000000000000000000000000000000
χ618-888-8-88-8000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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