Finite Group Databasebeta

← Group #173532

Character table — Group #173532

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444222222444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-11-1-111-1-1-111-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-11-1-111-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1111-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-1-111111111-1-1
χ91111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-111-11-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-111-11-1-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-111111-11-11-111-1-111-1-1-1-111-11
χ121111111111-1-1-1-11-1-111111-1-1-1-1-1-1-111111-11-11-1-1-111-1-11111-1-11-1
χ131111111111-1-1-1-11-1-1111-1-111-1-1-111-1-111-11-1-11111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-11-1-1111-1-111-1-1-111-1-111-11-1-111-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-11-1-1111-1-1-1-111-11111-1-1-1-111-1111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-11-1-1111-1-1-1-111-11111-1-1-1-111-11-1-11111-1-111-1-1-11
χ17222222222-222-2-2-2222-2-2000022-2000022000-2-2000000000000000
χ18222222222-222-2-2-2222-2-20000-2-2-20000-2-200022000000000000000
χ19222222222-2-2-222-2-2-22-2-200002220000-2-2000-22000000000000000
χ20222222222-2-2-222-2-2-22-2-20000-2-220000220002-2000000000000000
χ2122222222-2222-2-2-2-2-2-22-2002200200-2-2000-2200000000000000000
χ2222222222-2222-2-2-2-2-2-22-200-2-200200220002-200000000000000000
χ2322222222-22-2-222-222-22-2002200-20022000-2-200000000000000000
χ2422222222-22-2-222-222-22-200-2-200-200-2-20002200000000000000000
χ2522222222-2-222222-2-2-2-22220000-2220000-20000-200000000000000
χ2622222222-2-222222-2-2-2-22-2-20000-2-2-2000020000200000000000000
χ2722222222-2-2-2-2-2-2222-2-222200002-2-20000-20000200000000000000
χ2822222222-2-2-2-2-2-2222-2-22-2-20000222000020000-200000000000000
χ292-2-2-2222-2002-22-220000-22-2000002-20000000000i2−i2i2−i2i2−i2i2−i2000000
χ302-2-2-2222-2002-22-220000-22-2000002-20000000000−i2i2−i2i2−i2i2−i2i2000000
χ312-2-2-2222-2002-22-220000-2-2200000-220000000000i2−i2i2−i2−i2i2−i2i2000000
χ322-2-2-2222-2002-22-220000-2-2200000-220000000000−i2i2−i2i2i2−i2i2−i2000000
χ332-2-2-2222-200-22-2220000-22-200000-220000000000i2−i2−i2i2i2−i2−i2i2000000
χ342-2-2-2222-200-22-2220000-22-200000-220000000000−i2i2i2−i2−i2i2i2−i2000000
χ352-2-2-2222-200-22-2220000-2-22000002-20000000000i2−i2−i2i2−i2i2i2−i2000000
χ362-2-2-2222-200-22-2220000-2-22000002-20000000000−i2i2i2−i2i2−i2−i2i2000000
χ3744-444-4-4-40400000000-40004-400000000000000000000000000000
χ3844-444-4-4-40400000000-4000-4400000000000000000000000000000
χ3944-444-4-4-40-400000000400000000004i−4i0000000000000000000000
χ4044-444-4-4-40-40000000040000000000−4i4i0000000000000000000000
χ414-444-44-4-4400000000-40000004-4000000000000000000000000000
χ424-444-44-4-4400000000-4000000-44000000000000000000000000000
χ434-444-44-4-4-400000000400000000000004i−4i00000000000000000000
χ444-444-44-4-4-40000000040000000000000−4i4i00000000000000000000
χ454-4-44-4-44400000004-40000000000000000000000000000002-22-200
χ464-4-44-4-44400000004-4000000000000000000000000000000-22-2200
χ474-4-44-4-4440000000-440000000000000000000000000000002-2-2200
χ484-4-44-4-4440000000-44000000000000000000000000000000-222-200
χ494-4-4-4444-4004-4-44-400004000000000000000000000000000000000
χ504-4-4-4444-400-444-4-400004000000000000000000000000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ5288-8-8-88-88000000000000000000000000000000000000000000000
χ538-88-88-8-88000000000000000000000000000000000000000000000

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