Finite Group Databasebeta

← Group #261012

Character table — Group #261012

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222444444444444444444888888882222444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-1-1-1111-11-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1
χ911111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-11-1-1-11-111-1-111-1-1
χ1011111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-11-11-11-1-1-11-1-111-1-111
χ1111111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-11-1111-1-1-111-1-111
χ1211111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-1111-1111-1-111-1-1
χ1311111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-11-1-1111-1111-1-1-1-111
χ1411111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-11111-1111-1-1-11111-1-1
χ1511111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-11-1-1-11-1-11111-1-1
χ1611111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-11-111-1-1-1-111
χ1722222222222-222-2-2-2-2-2-22-2000000000000000000002-200-2200000000
χ1822222222222-222-2-2-2-2-2-22-200000000000000000000-22002-200000000
χ192222222222-22-2-2-2-222-2-2-220000000000000002-2-20200000000000000
χ202222222222-22-2-2-2-222-2-2-22000000000000000-2220-200000000000000
χ212222222222-2-2-2-222-2-222-2-222-2-200000000-2000002000000000000000
χ222222222222-2-2-2-222-2-222-2-2-2-22200000000200000-2000000000000000
χ2322222222-2-22-2-2-22222-2-22-2000000000000000000002200-2-200000000
χ2422222222-2-22-2-2-22222-2-22-200000000000000000000-2-2002200000000
χ2522222222-2-2-222222-2-2-2-2-220000000000000002-220-200000000000000
χ2622222222-2-2-222222-2-2-2-2-22000000000000000-22-20200000000000000
χ2722222222-2-2-2-222-2-22222-2-222-2-200000000200000-2000000000000000
χ2822222222-2-2-2-222-2-22222-2-2-2-22200000000-2000002000000000000000
χ292-222-22-2-2002-20000002-2-222i−2i2i−2i2i2i−2i−2i000002-20000000000000000000
χ302-222-22-2-2002-20000002-2-222i−2i2i−2i−2i−2i2i2i00000-220000000000000000000
χ312-222-22-2-2002-20000002-2-22−2i2i−2i2i2i2i−2i−2i00000-220000000000000000000
χ322-222-22-2-2002-20000002-2-22−2i2i−2i2i−2i−2i2i2i000002-20000000000000000000
χ332-222-22-2-200-220000002-22-22i−2i−2i2i000022-2-200000000002i−2i0000000000
χ342-222-22-2-200-220000002-22-22i−2i−2i2i0000-2-2220000000000−2i2i0000000000
χ352-222-22-2-200-220000002-22-2−2i2i2i−2i000022-2-20000000000−2i2i0000000000
χ362-222-22-2-200-220000002-22-2−2i2i2i−2i0000-2-22200000000002i−2i0000000000
χ3744-4-4-444-400004i−4i0000000000002i−2i2i−2i2-22-20000000000000000000000
χ3844-4-4-444-400004i−4i000000000000−2i2i−2i2i-22-220000000000000000000000
χ3944-4-4-444-40000−4i4i0000000000002i−2i2i−2i-22-220000000000000000000000
χ4044-4-4-444-40000−4i4i000000000000−2i2i−2i2i2-22-20000000000000000000000
χ414-444-44-4-40044000000-44-4-40000000000000000000000000000000000
χ424-444-44-4-400-4-4000000-44440000000000000000000000000000000000
χ434-44-44-44-44i−4i0000000000000000000000000000000000000000002-22i−2i
χ444-44-44-44-44i−4i000000000000000000000000000000000000000000-22−2i2i
χ454-44-44-44-4−4i4i0000000000000000000000000000000000000000002-2−2i2i
χ464-44-44-44-4−4i4i000000000000000000000000000000000000000000-222i−2i
χ474-4-44-4-4440000004-4000000000000000000000000000000002-22-20000
χ484-4-44-4-4440000004-400000000000000000000000000000000-22-220000
χ494-4-44-4-444000000-44000000000000000000000000000000002-2-220000
χ504-4-44-4-444000000-4400000000000000000000000000000000-222-20000
χ514-4-4-444-44000000004-4000000002-2-222-2-220000000000000000000000
χ524-4-4-444-44000000004-400000000-222-2-222-20000000000000000000000
χ534-4-4-444-4400000000-44000000002-2-22-222-20000000000000000000000
χ544-4-4-444-4400000000-4400000000-222-22-2-220000000000000000000000
χ55888-8-8-8-88000000000000000000000000000000000000000000000000
χ5688-888-8-8-8000000000000000000000000000000000000000000000000

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