Finite Group Databasebeta

← Group #260526

Character table — Group #260526

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-111-11-1-1111111-1-1-1-1
χ511111111111111111111-1-111111-1-11111111111-11-1-1-1-11-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-11-1-1111-1-1-111-1-1-1-11111
χ711111111111111111111-1-111-1-11-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111
χ911111111111111111-1-1111-1-111-111-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-111-1-1
χ1011111111111111111-1-1111-1-111-111-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-111-1-111
χ1111111111111111111-1-1111-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1
χ1211111111111111111-1-1111-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-1-1-111-1-1-1-111
χ1311111111111111111-1-11-1-1-1-111-1-1-1-1-11111-1-1-1-11-111-1-111-1-11111-1-1-1-111
χ1411111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-1-1-11111-1-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1111-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11111111-1-111-1-1
χ1722222222222-2-2-2-22-222-200-2-222200-2-200000000020000-20000000000000
χ1822222222222-2-2-2-22-222-200-2-2-2-220022000000000-2000020000000000000
χ1922222222222-2-2-2-22-2-2-2-2002222-20022000000000-20000-20000000000000
χ2022222222222-2-2-2-22-2-2-2-20022-2-2-200-2-20000000002000020000000000000
χ2122222222-2-2-22222-2-222-2222-200-2-2-200000000002000000-2000000000000
χ2222222222-2-2-22222-2-222-2-2-22-200-2220000000000-20000002000000000000
χ2322222222-2-2-22222-2-2-2-2-222-22002-2-20000000000-20000002000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-220022200000000002000000-2000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-2200-2000000000000002-200002-20000000000
χ2622222222-2-2-2-2-2-2-2-2222200-2200-200000000000000-220000-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22002-2002000000000000002-20000-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22002-200200000000000000-2200002-20000000000
χ2922-22-2-2-2222-22-22-2-2-20022i−2i000002i−2i000000000000000000002-2002i−2i0000
χ3022-22-2-2-2222-22-22-2-2-20022i−2i000002i−2i00000000000000000000-2200−2i2i0000
χ3122-22-2-2-2222-22-22-2-2-2002−2i2i00000−2i2i000000000000000000002-200−2i2i0000
χ3222-22-2-2-2222-22-22-2-2-2002−2i2i00000−2i2i00000000000000000000-22002i−2i0000
χ3322-22-2-2-22-2-222-22-22200-22i−2i00000−2i2i000000000000002i−2i0000002-2000000
χ3422-22-2-2-22-2-222-22-22200-22i−2i00000−2i2i00000000000000−2i2i000000-22000000
χ3522-22-2-2-22-2-222-22-22200-2−2i2i000002i−2i000000000000002i−2i000000-22000000
χ3622-22-2-2-22-2-222-22-22200-2−2i2i000002i−2i00000000000000−2i2i0000002-2000000
χ37444-44-4-4-40000000004-400000000000022-2-222-2-200000000000000000000
χ38444-44-4-4-40000000004-4000000000000-2-222-2-22200000000000000000000
χ39444-44-4-4-4000000000-4400000000000022-2-2-2-22200000000000000000000
χ40444-44-4-4-4000000000-44000000000000-2-22222-2-200000000000000000000
χ4144-44-4-4-4444-4-44-44-4400-4000000000000000000000000000000000000000
χ4244-44-4-4-44-4-44-44-444-4004000000000000000000000000000000000000000
χ434-444-4-44-44-440000-400000000000004-40000000000000000000000000000
χ444-444-4-44-44-440000-40000000000000-440000000000000000000000000000
χ454-444-4-44-4-44-400004000000004i−4i000000000000000000000000000000000
χ464-444-4-44-4-44-40000400000000−4i4i000000000000000000000000000000000
χ474-44-4-44-440004-4-4400000000000000000000000000000000000000002i2−2i200
χ484-44-4-44-440004-4-440000000000000000000000000000000000000000−2i22i200
χ494-44-4-44-44000-444-40000000000000000000000000000000000000000002i2−2i2
χ504-44-4-44-44000-444-4000000000000000000000000000000000000000000−2i22i2
χ514-4-4444-4-44-4-4000040000000000000002i2−2i22i2−2i2000000000000000000000000
χ524-4-4444-4-44-4-400004000000000000000−2i22i2−2i22i2000000000000000000000000
χ534-4-4444-4-4-4440000-4000000000000000000022−2222−2200000000000000000000
χ544-4-4444-4-4-4440000-40000000000000000000−2222−222200000000000000000000
χ554-4-4-44-44400044-4-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ564-4-4-44-44400044-4-40000000000000000−2i22i22i2−2i2000000000000000000000000
χ574-4-4-44-444000-4-4440000000000000000000022−22−222200000000000000000000
χ584-4-4-44-444000-4-44400000000000000000000−222222−2200000000000000000000
χ5988-8-8-888-8000000000000000000000000000000000000000000000000000

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