Finite Group Databasebeta

← Group #296516

Character table — Group #296516

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-111-1-11-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-1-1-11-1-111-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-11-1-111-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111
χ9111111111111-1-1111111-1-1-111-1-111-11-1111-1-11-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1111111-1-1-111-1-111-11-1-1-11-1-11-111-1-111-1-111-1-111
χ11111111111111-1-1111111-1-1-1-1-1-1-1-1-11-11111-11-11-1-111-1-1-1-111-1-111
χ12111111111111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-11-11-1111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-111-111-1-111-1-1111-11-1-11-1-1-1-111-1-11111-1-1
χ14111111111111-1-11111-1-111-111-1-111-1-11-1-1-11-1-111111-1-111-1-1-1-111
χ15111111111111-1-11111-1-111-1-1-1-1-1-1-111-111-1111-1-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-1111-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-22222200-2-20000000-2-200000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2200-2-200000002200000000000000000
χ19222222222222-2-2-2-2-2-222-2-2-200220000000-2200000000000000000
χ20222222222222-2-2-2-2-2-2-2-222-2002200000002-200000000000000000
χ2122222222-2-2-2-2222-2-220000-2222-2-2-22000000-20000000000000000
χ2222222222-2-2-2-2222-2-220000-2-2-22-222-200000020000000000000000
χ2322222222-2-2-2-222-222-20000-200-220002200000-2-200000000000000
χ2422222222-2-2-2-222-222-20000-200-22000-2-2000002200000000000000
χ2522222222-2-2-2-2-2-22-2-220000222-22-2-2-200000020000000000000000
χ2622222222-2-2-2-2-2-22-2-2200002-2-2-22222000000-20000000000000000
χ2722222222-2-2-2-2-2-2-222-200002002-20002-200000-2200000000000000
χ2822222222-2-2-2-2-2-2-222-200002002-2000-22000002-200000000000000
χ292-222-2-22-22-22-200-22-22000002i−2i002i−2i000000000000002i−2i002-20000
χ302-222-2-22-22-22-200-22-22000002i−2i002i−2i00000000000000−2i2i00-220000
χ312-222-2-22-22-22-200-22-2200000−2i2i00−2i2i000000000000002i−2i00-220000
χ322-222-2-22-22-22-200-22-2200000−2i2i00−2i2i00000000000000−2i2i002-20000
χ332-222-2-22-2-22-2200-2-222000002i−2i00−2i2i0000000000002i−2i002-2000000
χ342-222-2-22-2-22-2200-2-222000002i−2i00−2i2i000000000000−2i2i00-22000000
χ352-222-2-22-2-22-2200-2-22200000−2i2i002i−2i0000000000002i−2i00-22000000
χ362-222-2-22-2-22-2200-2-22200000−2i2i002i−2i000000000000−2i2i002-2000000
χ3744-444-4-4-44-4-44000000004-40000000000000000000000000000000
χ3844-444-4-4-44-4-4400000000-440000000000000000000000000000000
χ3944-444-4-4-4-444-40000004-4000000000000000000000000000000000
χ4044-444-4-4-4-444-4000000-44000000000000000000000000000000000
χ414-444-4-44-44-44-4004-44-400000000000000000000000000000000000
χ424-444-4-44-4-44-440044-4-400000000000000000000000000000000000
χ434-4-44-44-4444-4-400000000000000000000000000000000000002i2−2i200
χ444-4-44-44-4444-4-40000000000000000000000000000000000000−2i22i200
χ454-4-44-44-44-4-44400000000000000000000000000000000000000022−22
χ464-4-44-44-44-4-444000000000000000000000000000000000000000−2222
χ474-4-4-44-44400004-40000000000000000002-2000002-2000000000000
χ484-4-4-44-44400004-4000000000000000000-2200000-22000000000000
χ494-4-4-44-4440000-440000000000000000002-200000-22000000000000
χ504-4-4-44-4440000-44000000000000000000-22000002-2000000000000
χ51888-8-8-8-88000000000000000000000000000000000000000000000
χ5288-8-8-888-8000000000000000000000000000000000000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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