Finite Group Databasebeta

← Group #260572

Character table — Group #260572

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111
χ51111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ61111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ911111111111111111-1-11-1-11111-1-1-1111111-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-1
χ1011111111111111111-1-11-1-11111-1-1-111-1-1-1-11111-1-111-1-1-1-11-111-1-111-1-111
χ1111111111111111111-1-11-1-111-1-111-1111111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-111
χ1211111111111111111-1-11-1-111-1-111-111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1
χ1311111111111111111-1-11-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111-1-11-111-1-11111-1-1
χ1411111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-111-1-1-1-111
χ1511111111111111111-1-11-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-11-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-111-1-1
χ172222222222-2-222-2-2-222-22-20022-2-2-2000000000000000000-220000000000
χ182222222222-2-222-2-2-222-22-200-2-222-20000000000000000002-20000000000
χ192222222222-2-222-2-2-2-2-2-2-220022222000000000000000000-2-20000000000
χ202222222222-2-222-2-2-2-2-2-2-2200-2-2-2-22000000000000000000220000000000
χ2122222222-2-222-2-222-222-2-2-22200002-2-2000000002-2000000000000000000
χ2222222222-2-222-2-222-222-2-2-2-2-2000022200000000-22000000000000000000
χ2322222222-2-222-2-222-2-2-2-222220000-2-2-200000000-22000000000000000000
χ2422222222-2-222-2-222-2-2-2-222-2-20000-222000000002-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-22000000-20000000000002-22-200000000000000
χ2622222222-2-2-2-2-2-2-2-22222-22000000-2000000000000-22-2200000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222-200000020000000000002-2-2200000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222-20000002000000000000-222-200000000000000
χ292-22-22-22-2222-2-2-22-2-2002002i−2i000002i−2i000000000000002-2000000002i−2i00
χ302-22-22-22-2222-2-2-22-2-2002002i−2i000002i−2i00000000000000-2200000000−2i2i00
χ312-22-22-22-2222-2-2-22-2-200200−2i2i00000−2i2i000000000000002-200000000−2i2i00
χ322-22-22-22-2222-2-2-22-2-200200−2i2i00000−2i2i00000000000000-22000000002i−2i00
χ332-22-22-22-2-2-22-2222-2200-2002i−2i00000−2i2i0000000000000000002i−2i0000002-2
χ342-22-22-22-2-2-22-2222-2200-2002i−2i00000−2i2i000000000000000000−2i2i000000-22
χ352-22-22-22-2-2-22-2222-2200-200−2i2i000002i−2i0000000000000000002i−2i000000-22
χ362-22-22-22-2-2-22-2222-2200-200−2i2i000002i−2i000000000000000000−2i2i0000002-2
χ37444-4-44-4-44-4004-40000000000000000000002222−22−2200000000000000000000
χ38444-4-44-4-44-4004-4000000000000000000000−22−22222200000000000000000000
χ39444-4-44-4-4-4400-44000000000000000002222−22−22000000000000000000000000
χ40444-4-44-4-4-4400-4400000000000000000−22−222222000000000000000000000000
χ4144-44-4-44-4004400-4-4000000000000000000022−2222−2200000000000000000000
χ4244-44-4-44-4004400-4-40000000000000000000−2222−222200000000000000000000
χ4344-44-4-44-400-4-400440000000000000002i2−2i22i2−2i2000000000000000000000000
χ4444-44-4-44-400-4-40044000000000000000−2i22i2−2i22i2000000000000000000000000
χ4544-4-44-4-440000000004i−4i0000000000002i−2i−2i2i2-2-2200000000000000000000
χ4644-4-44-4-440000000004i−4i000000000000−2i2i2i−2i-222-200000000000000000000
χ4744-4-44-4-44000000000−4i4i0000000000002i−2i−2i2i-222-200000000000000000000
χ4844-4-44-4-44000000000−4i4i000000000000−2i2i2i−2i2-2-2200000000000000000000
χ494-444-4-4-444-400-440000000000004i−4i0000000000000000000000000000000
χ504-444-4-4-444-400-44000000000000−4i4i0000000000000000000000000000000
χ514-444-4-4-44-44004-400000000004i−4i000000000000000000000000000000000
χ524-444-4-4-44-44004-40000000000−4i4i000000000000000000000000000000000
χ534-44-44-44-444-44-4-4-44400-4000000000000000000000000000000000000000
χ544-44-44-44-4-4-4-4444-44-4004000000000000000000000000000000000000000
χ554-4-4-4-4444004-400-44000000000000000000000000000000000000022−220000
χ564-4-4-4-4444004-400-440000000000000000000000000000000000000−22220000
χ574-4-4-4-444400-44004-40000000000000000000000000000000000022−22000000
χ584-4-4-4-444400-44004-400000000000000000000000000000000000−2222000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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