Finite Group Databasebeta

← Group #238626

Character table — Group #238626

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222222244444444444444888888888888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ911111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-11-1-1-1111-1-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-1111-1-1-1111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-11111-11-1-111-11-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111111111-1-1-1-1-1111-1-1-11-1-111-1-11111-1-1
χ1411111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111111111-1-1-1-1-11-1-111-1111-1-111-1-1-1-111
χ1511111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111111-111-1-11-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111111-1-1-1111-111-1-1-1-11111-1-1
χ172222222222222222-2-2-22-2-2-2-22-20000000000000000002-22-200000000000000
χ182222222222222222-2-2-22-2-2-2-22-2000000000000000000-22-2200000000000000
χ19222222222222-2-2-2-2222-2-2-2-22-2-200000000000000000000000000002-22-20000
χ20222222222222-2-2-2-2222-2-2-2-22-2-20000000000000000000000000000-22-220000
χ21222222222222-2-2-2-2-2-2-2-2222-2-220000000000000000220000-2-2000000000000
χ22222222222222-2-2-2-2-2-2-2-2222-2-220000000000000000-2-2000022000000000000
χ2322222222-2-2-2-222222-2-2-2-2222-2-200000000000000000000000000002-2-220000
χ2422222222-2-2-2-222222-2-2-2-2222-2-20000000000000000000000000000-222-20000
χ2522222222-2-2-2-22222-222-22-2-2-2-2200000000000000002-20000-22000000000000
χ2622222222-2-2-2-22222-222-22-2-2-2-220000000000000000-2200002-2000000000000
χ2722222222-2-2-2-2-2-2-2-2-2222-222-22-20000000000000000002-2-2200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2222-222-22-2000000000000000000-222-200000000000000
χ292-22-2-222-222-2-222-2-222-22-22-2-2-22000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ302-22-2-222-222-2-222-2-222-22-22-2-2-2200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ312-22-2-222-222-2-222-2-2-2-2222-222-2-2000000000000000000000000000000002i−2i2i−2i
χ322-22-2-222-222-2-222-2-2-2-2222-222-2-200000000000000000000000000000000−2i2i−2i2i
χ332-22-2-222-222-2-2-2-22222-2-22-22-22-20000000000000000000000002i−2i2i−2i00000000
χ342-22-2-222-222-2-2-2-22222-2-22-22-22-2000000000000000000000000−2i2i−2i2i00000000
χ352-22-2-222-222-2-2-2-222-2-22-2-22-222222-2-222-2-20000000000000000000000000000
χ362-22-2-222-222-2-2-2-222-2-22-2-22-2222-2-222-2-2220000000000000000000000000000
χ372-22-2-222-2-2-22222-2-22-22-222-2-22-20000000000000000000000002i−2i−2i2i00000000
χ382-22-2-222-2-2-22222-2-22-22-222-2-22-2000000000000000000000000−2i2i2i−2i00000000
χ392-22-2-222-2-2-22222-2-2-22-2-2-2-2222222-2-2-2-2220000000000000000000000000000
χ402-22-2-222-2-2-22222-2-2-22-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ412-22-2-222-2-2-222-2-2222-222-2-22-2-22000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ422-22-2-222-2-2-222-2-2222-222-2-22-2-2200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ432-22-2-222-2-2-222-2-222-22-2222-22-2-2000000000000000000000000000000002i−2i−2i2i
χ442-22-2-222-2-2-222-2-222-22-2222-22-2-200000000000000000000000000000000−2i2i2i−2i
χ454444-4-4-4-44-44-400000000000000000000002-22-22-22-200000000000000000000
χ464444-4-4-4-44-44-40000000000000000000000-22-22-22-2200000000000000000000
χ474444-4-4-4-4-44-4400000000000000000000002-22-2-22-2200000000000000000000
χ484444-4-4-4-4-44-440000000000000000000000-22-222-22-200000000000000000000
χ4944-4-4-44-4400004-44-400000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ5044-4-4-44-4400004-44-40000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ5144-4-4-44-440000-44-4400000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ5244-4-4-44-440000-44-440000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ534-44-44-4-444-4-4400000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ544-44-44-4-444-4-440000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ554-44-44-4-44-444-400000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ564-44-44-4-44-444-40000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ574-4-4444-4-400004-4-4400000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ584-4-4444-4-400004-4-440000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ594-4-4444-4-40000-444-400000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ604-4-4444-4-40000-444-40000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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