Finite Group Databasebeta

← Group #173605

Character table — Group #173605

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-1-1-111111-111-1-111-1-111-1-11-11-11-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1-1-111111-111-1-111-1-111-1-11-11-11-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-1-1-111111-111-1-1-1-111-1-111-111-1-1111-1-1-1-11111-1-1-11
χ12111111111-1-1-1-1-1-111111-111-1-1-1-111-1-111-111-1-11-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-11-111-111-1-111-1-1-1-111-11
χ14111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-11-111-1-1-111-1-11111-1-11-1
χ15111111111-1-1-1-1-1-111111-1-1-111-1-11111-1-11-1-11-1111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-1-1-111111-1-1-111-1-11111-1-11-1-11-11-1-11111-1-111-1-1-11
χ1722222222222-2-222-2-2-2-22-20000222200000000-2-200000000000000
χ1822222222222-2-222-2-2-2-22-20000-2-2-2-2000000002200000000000000
χ19222222222-2-222-2-2-2-2-2-222000022-2-200000000-2200000000000000
χ20222222222-2-222-2-2-2-2-2-2220000-2-222000000002-200000000000000
χ2122222222-22222-2-222-2-2-2-222220000000000-2-20000000000000000
χ2222222222-22222-2-222-2-2-2-2-2-2-2-20000000000220000000000000000
χ2322222222-222-2-2-2-2-2-222-220000000022-2-2-22000000000000000000
χ2422222222-222-2-2-2-2-2-222-2200000000-2-2222-2000000000000000000
χ2522222222-2-2-22222-2-222-2-2000000002222-2-2000000000000000000
χ2622222222-2-2-22222-2-222-2-200000000-2-2-2-222000000000000000000
χ2722222222-2-2-2-2-22222-2-2-2222-2-20000000000-220000000000000000
χ2822222222-2-2-2-2-22222-2-2-22-2-22200000000002-20000000000000000
χ292-2-222-2-2222-2002-20000-2000002i−2i2i−2i00000000002−22−2i2−i2i2−i2000000
χ302-2-222-2-2222-2002-20000-2000002i−2i2i−2i0000000000−22−22−i2i2−i2i2000000
χ312-2-222-2-2222-2002-20000-200000−2i2i−2i2i00000000002−22−2−i2i2−i2i2000000
χ322-2-222-2-2222-2002-20000-200000−2i2i−2i2i0000000000−22−22i2−i2i2−i2000000
χ332-2-222-2-222-2200-220000-2000002i−2i−2i2i00000000002−2−22i2−i2−i2i2000000
χ342-2-222-2-222-2200-220000-2000002i−2i−2i2i0000000000−222−2−i2i2i2−i2000000
χ352-2-222-2-222-2200-220000-200000−2i2i2i−2i00000000002−2−22−i2i2i2−i2000000
χ362-2-222-2-222-2200-220000-200000−2i2i2i−2i0000000000−222−2i2−i2−i2i2000000
χ3744-44-44-4-40004-400000000000000000000000000000000002-22-200
χ3844-44-44-4-40004-40000000000000000000000000000000000-22-2200
χ3944-44-44-4-4000-4400000000000000000000000000000000002-2-2200
χ4044-44-44-4-4000-440000000000000000000000000000000000-222-200
χ414-44-444-4-400000004-40000004-40000000000000000000000000000
χ424-44-444-4-400000004-4000000-440000000000000000000000000000
χ434-44-444-4-40000000-4400004-4000000000000000000000000000000
χ444-44-444-4-40000000-440000-44000000000000000000000000000000
χ454-4-444-4-44-44-400-4400004000000000000000000000000000000000
χ464-4-444-4-44-4-44004-400004000000000000000000000000000000000
χ474-4-4-4-44440000000004-40000000000004-400000000000000000000
χ484-4-4-4-44440000000004-4000000000000-4400000000000000000000
χ494-4-4-4-4444000000000-4400000000004-40000000000000000000000
χ504-4-4-4-4444000000000-440000000000-440000000000000000000000
χ51888-8-8-8-88000000000000000000000000000000000000000000000
χ5288-8-88-88-8000000000000000000000000000000000000000000000
χ538-888-8-88-8000000000000000000000000000000000000000000000

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