Finite Group Databasebeta

← Group #260558

Character table — Group #260558

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888822224444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ511111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111
χ911111111111111111-1-11-1-1-1111111-1-11111-1-1-1-11111-1-11-1-1-1-1-111-1-111-1-1
χ1011111111111111111-1-11-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-111-1-111
χ1111111111111111111-1-11-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111
χ1211111111111111111-1-11-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1111-1-1-1-11111-1-1
χ1311111111111111111-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-11111-1-11111-1-1
χ1411111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-111-1-111-1-1-1-111
χ1511111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-11-1-1-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-11-1-11111-1-111-1-1
χ172222222222-2-222-2-2-222-22-2-222-2-200000000000000002-200000000000000
χ182222222222-2-222-2-2-222-22-2-2-2-2220000000000000000-2200000000000000
χ192222222222-2-222-2-2-2-2-2-2-22222-2-20000000000000000-2200000000000000
χ202222222222-2-222-2-2-2-2-2-2-222-2-22200000000000000002-200000000000000
χ2122222222-2-222-2-222-222-2-2-22000022-2-200000000000000-22000000000000
χ2222222222-2-222-2-222-222-2-2-220000-2-222000000000000002-2000000000000
χ2322222222-2-222-2-222-2-2-2-222-20000222200000000000000-2-2000000000000
χ2422222222-2-222-2-222-2-2-2-222-20000-2-2-2-20000000000000022000000000000
χ2522222222-2-2-2-2-2-2-2-22222-22-200000000000000002-20000002-20000000000
χ2622222222-2-2-2-2-2-2-2-22222-22-20000000000000000-22000000-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222-2200000000000000002-2000000-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-220000000000000000-220000002-20000000000
χ292-2222-2-2-22-2222-2-2-2-20020002i−2i2i−2i000000000000002-20000000000002i−2i00
χ302-2222-2-2-22-2222-2-2-2-20020002i−2i2i−2i00000000000000-22000000000000−2i2i00
χ312-2222-2-2-22-2222-2-2-2-2002000−2i2i−2i2i000000000000002-2000000000000−2i2i00
χ322-2222-2-2-22-2222-2-2-2-2002000−2i2i−2i2i00000000000000-220000000000002i−2i00
χ332-2222-2-2-22-2-2-22-222200-20002i−2i−2i2i00000000000000000000002i−2i0000002-2
χ342-2222-2-2-22-2-2-22-222200-20002i−2i−2i2i0000000000000000000000−2i2i000000-22
χ352-2222-2-2-22-2-2-22-222200-2000−2i2i2i−2i00000000000000000000002i−2i000000-22
χ362-2222-2-2-22-2-2-22-222200-2000−2i2i2i−2i0000000000000000000000−2i2i0000002-2
χ37444-4-4-44-40000000004i−4i00000000000022-2-22i2i−2i−2i00000000000000000000
χ38444-4-4-44-40000000004i−4i000000000000-2-222−2i−2i2i2i00000000000000000000
χ39444-4-4-44-4000000000−4i4i00000000000022-2-2−2i−2i2i2i00000000000000000000
χ40444-4-4-44-4000000000−4i4i000000000000-2-2222i2i−2i−2i00000000000000000000
χ4144-44-4-4-444-400-440000000000000000000000000000000000000002i2−2i20000
χ4244-44-4-4-444-400-44000000000000000000000000000000000000000−2i22i20000
χ4344-44-4-4-44-44004-400000000000000000000000000000000000002i2−2i2000000
χ4444-44-4-4-44-44004-40000000000000000000000000000000000000−2i22i2000000
χ4544-4-444-4-4004-4004-400000000000004i−4i0000000000000000000000000000
χ4644-4-444-4-4004-4004-40000000000000−4i4i0000000000000000000000000000
χ4744-4-444-4-400-4400-44000000000004i−4i000000000000000000000000000000
χ4844-4-444-4-400-4400-4400000000000−4i4i000000000000000000000000000000
χ494-4444-4-4-4-4444-44-4-4400-4000000000000000000000000000000000000000
χ504-4444-4-4-4-44-4-4-4444-4004000000000000000000000000000000000000000
χ514-4-44-444-44400-4-40000000000000000000002i2−2i22i2−2i200000000000000000000
χ524-4-44-444-44400-4-4000000000000000000000−2i22i2−2i22i200000000000000000000
χ534-4-44-444-4-4-400440000000000000000022−2222−22000000000000000000000000
χ544-4-44-444-4-4-4004400000000000000000−2222−2222000000000000000000000000
χ554-4-4-44-444004-400-44000000000000000000022−22−222200000000000000000000
χ564-4-4-44-444004-400-440000000000000000000−222222−2200000000000000000000
χ574-4-4-44-44400-44004-400000000000000022−22−2222000000000000000000000000
χ584-4-4-44-44400-44004-4000000000000000−222222−22000000000000000000000000
χ598-88-8-88-88000000000000000000000000000000000000000000000000000

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