Finite Group Databasebeta

← Group #166377

Character table — Group #166377

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222444444444444442222444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-111111111-1-11-1-1111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111
χ51111111111111111111111-1-1111-1-11111111111-11-1-1-1-1-1-11-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-11-111-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111111-1-1-1-1
χ911111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-11111-1-1-1-11-1-11-11111-1-1-111-1-111-1-1
χ1011111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-11-1-1-111-111-1-111-1-111
χ1111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-11-1-11111-11-1-1-1-111-1-111
χ1211111111-1-1-1-1111-1-1-1-111111-1-1-1-1-111-1-1-1-11111-11-1-11-1-11-111111-1-111-1-1
χ1311111111-1-1-1-1111-1-1-1-1111-1-111-111-1-11111-1-1-1-1-1-11-11-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-1111-1-1-1-1111-1-111-111-1-1-1-1-1-11111-1-11-1111-111-1-1-1-11111-1-1
χ1511111111-1-1-1-1111-1-1-1-1111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1111-1-1-1-1111-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-111-1-1-1-111
χ172222222222222-2-2-2-2-2-22-2-200002000000000000200-2-2000020000000000
χ182222222222222-2-2-2-2-2-22-2-200002000000000000-200220000-20000000000
χ19222222222222-22-222-2-2-22-20022-20022000000000-2000000-200000000000
χ20222222222222-22-222-2-2-22-200-2-2-200-2-20000000002000000200000000000
χ21222222222222-2-22-2-222-2-222200-2-2-200000000000020000-2000000000000
χ22222222222222-2-22-2-222-2-22-2-200-222000000000000-200002000000000000
χ2322222222-2-2-2-22-2-222222-2-20000-2000000000000200-220000-20000000000
χ2422222222-2-2-2-22-2-222222-2-20000-2000000000000-2002-2000020000000000
χ2522222222-2-2-2-2-22-2-2-222-22-20022200-2-20000000002000000-200000000000
χ2622222222-2-2-2-2-22-2-2-222-22-200-2-220022000000000-2000000200000000000
χ2722222222-2-2-2-2-2-2222-2-2-2-222200222000000000000-20000-2000000000000
χ2822222222-2-2-2-2-2-2222-2-2-2-22-2-2002-2-2000000000000200002000000000000
χ292-2-222-22-222-2-20202-2000-20002-20002-2i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i20000
χ302-2-222-22-222-2-20202-2000-20002-20002-2−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i20000
χ312-2-222-22-222-2-20202-2000-2000-22000-22i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i20000
χ322-2-222-22-222-2-20202-2000-2000-22000-22−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i20000
χ332-2-222-22-2-2-222020-22000-20002-2000-22i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i20000
χ342-2-222-22-2-2-222020-22000-20002-2000-22−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i20000
χ352-2-222-22-2-2-222020-22000-2000-220002-2i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i20000
χ362-2-222-22-2-2-222020-22000-2000-220002-2−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i20000
χ3744-44-4-4-444i−4i4i−4i00000000000000000000000000000000000000000002i−2i2-2
χ3844-44-4-4-444i−4i4i−4i0000000000000000000000000000000000000000000−2i2i-22
χ3944-44-4-4-44−4i4i−4i4i00000000000000000000000000000000000000000002i−2i-22
χ4044-44-4-4-44−4i4i−4i4i0000000000000000000000000000000000000000000−2i2i2-2
χ4144-4-4-444-40000000004i−4i0000000000002-22-22i−2i2i−2i00000000000000000000
χ4244-4-4-444-40000000004i−4i000000000000-22-22−2i2i−2i2i00000000000000000000
χ4344-4-4-444-4000000000−4i4i0000000000002-22-2−2i2i−2i2i00000000000000000000
χ4444-4-4-444-4000000000−4i4i000000000000-22-222i−2i2i−2i00000000000000000000
χ454-444-44-4-44i−4i−4i4i000000000000000000000000000000002-20002i−2i00000000
χ464-444-44-4-44i−4i−4i4i00000000000000000000000000000000-22000−2i2i00000000
χ474-444-44-4-4−4i4i4i−4i000000000000000000000000000000002-2000−2i2i00000000
χ484-444-44-4-4−4i4i4i−4i00000000000000000000000000000000-220002i−2i00000000
χ494-44-4-4-44400004000000-4000000000002i2−2i2−2i22i2000000000000000000000000
χ504-44-4-4-44400004000000-400000000000−2i22i22i2−2i2000000000000000000000000
χ514-44-4-4-4440000-4000000400000000000000022−22−222200000000000000000000
χ524-44-4-4-4440000-40000004000000000000000−222222−2200000000000000000000
χ534-4-444-44-444-4-40-40-44000400000000000000000000000000000000000000
χ544-4-444-44-4-4-4440-404-4000400000000000000000000000000000000000000
χ554-4-4-444-440000004000000-4000004i−4i000000000000000000000000000000
χ564-4-4-444-440000004000000-400000−4i4i000000000000000000000000000000
χ574-4-4-444-44000000-400000044-400000000000000000000000000000000000
χ584-4-4-444-44000000-40000004-4400000000000000000000000000000000000
χ59888-88-8-8-8000000000000000000000000000000000000000000000000000

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