Finite Group Databasebeta

← Group #166328

Character table — Group #166328

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222444444444444442222444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-1-1-11-1111-111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-111111-1-1-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-11111-1-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-11-1-11-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-111-111-1-11111-1-1-1-11-1-1-1-11-1-1111111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-1-1-111111-111-11-1-111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1111111-1-1-1-1-11-1-1-1111-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-11111-1111-1111-1-1-1-111-1-1-1-111
χ1722222222222222-2-2-222-2-2-222-2-2-20000000000000000-2200000000000000
χ1822222222222222-2-2-222-2-2-2-2-222-200000000000000002-200000000000000
χ19222222222222-2-2222-2-2-2-220000-2222200000000-2-2000000000000000000
χ20222222222222-2-2222-2-2-2-220000-2-2-2-2-20000000022000000000000000000
χ21222222222222-2-2-2-2-2-2-222-2000020000000000000000002-22-20000000000
χ22222222222222-2-2-2-2-2-2-222-200002000000000000000000-22-220000000000
χ2322222222-2-2-2-22222-2-2-222-20000-20000000000000000002-2-220000000000
χ2422222222-2-2-2-22222-2-2-222-20000-2000000000000000000-222-20000000000
χ2522222222-2-2-2-222-2-22-2-2-2-220000222-2-200000000-22000000000000000000
χ2622222222-2-2-2-222-2-22-2-2-2-2200002-2-222000000002-2000000000000000000
χ2722222222-2-2-2-2-2-222-222-2-2-2222220000000000000000-2-200000000000000
χ2822222222-2-2-2-2-2-222-222-2-2-2-2-2-2-2200000000000000002200000000000000
χ292-2-2-2-222222-2-2002-2-200002000002-22-222−2−222−2−20000000000002−22−20000
χ302-2-2-2-222222-2-2002-2-200002000002-22-2−2−222−2−222000000000000−22−220000
χ312-2-2-2-222222-2-2002-2-20000200000-22-2222−2−222−2−2000000000000−22−220000
χ322-2-2-2-222222-2-2002-2-20000200000-22-22−2−222−2−2220000000000002−22−20000
χ332-2-2-2-2222-2-22200-22-200002000002-2-2222−2−2−2−2220000000000002−2−220000
χ342-2-2-2-2222-2-22200-22-200002000002-2-22−2−22222−2−2000000000000−222−20000
χ352-2-2-2-2222-2-22200-22-20000200000-222-222−2−2−2−222000000000000−222−20000
χ362-2-2-2-2222-2-22200-22-20000200000-222-2−2−22222−2−20000000000002−2−220000
χ37444-4-44-4-40000000004-4000004-4000000000000000000000000000000000
χ38444-4-44-4-40000000004-400000-44000000000000000000000000000000000
χ39444-4-44-4-4000000000-440004-400000000000000000000000000000000000
χ40444-4-44-4-4000000000-44000-4400000000000000000000000000000000000
χ4144-44-4-44-4000000000004-4000000000000002i2−2i22i2−2i200000000000000000000
χ4244-44-4-44-4000000000004-400000000000000−2i22i2−2i22i200000000000000000000
χ4344-44-4-44-400000000000-4400000000002i2−2i22i2−2i2000000000000000000000000
χ4444-44-4-44-400000000000-440000000000−2i22i2−2i22i2000000000000000000000000
χ4544-4-44-4-444i−4i4i−4i00000000000000000000000000000000000000000002-22i−2i
χ4644-4-44-4-444i−4i4i−4i0000000000000000000000000000000000000000000-22−2i2i
χ4744-4-44-4-44−4i4i−4i4i00000000000000000000000000000000000000000002-2−2i2i
χ4844-4-44-4-44−4i4i−4i4i0000000000000000000000000000000000000000000-222i−2i
χ494-444-4-4-444i−4i−4i4i000000000000000000000000000002i−2i0000002-200000000
χ504-444-4-4-444i−4i−4i4i00000000000000000000000000000−2i2i000000-2200000000
χ514-444-4-4-44−4i4i4i−4i000000000000000000000000000002i−2i000000-2200000000
χ524-444-4-4-44−4i4i4i−4i00000000000000000000000000000−2i2i0000002-200000000
χ534-44-44-44-400004-4000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ544-44-44-44-400004-400000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ554-44-44-44-40000-44000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ564-44-44-44-40000-4400000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ574-4-4-4-444444-4-400-4440000-40000000000000000000000000000000000000
χ584-4-4-4-4444-4-444004-440000-40000000000000000000000000000000000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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