Finite Group Databasebeta

← Group #173830

Character table — Group #173830

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222224444444444224444444444422444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-11-1-1-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1111-1-1-1-111-1-1-11-1-1-111111-1-1-1-11111-1-1
χ611111111111111111111-1-1111-1-1-1-111-1-1-11-1-1-11-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-11-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-11-111-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-11-111-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-11-11111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-11-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-1-111-1-111-1-111111-1-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-1-111-1-111-1-111111-1-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-1111111-1-11-1-11-1111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-1111111-1-11-1-11-11-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-2-2-200-222000022000-2000-200000000000000
χ18222222222222-2-222-2-2-2-200-2-2-20000-2-20002000200000000000000
χ192222222222-2-222-2-2-2-22200-2002200002200-2-20000000000000000
χ202222222222-2-222-2-2-2-22200-200-2-20000-2-200220000000000000000
χ212222222222-2-2-2-2-2-222-2-22220000-2-200002000-2000000000000000
χ222222222222-2-2-2-2-2-222-2-2-2-220000220000-20002000000000000000
χ2322222222-2-22222-2-222-2-222-20000220000-2000-2000000000000000
χ2422222222-2-22222-2-222-2-2-2-2-20000-2-2000020002000000000000000
χ2522222222-2-222-2-2-2-2-2-22200200220000-2-2002-20000000000000000
χ2622222222-2-222-2-2-2-2-2-22200200-2-200002200-220000000000000000
χ2722222222-2-2-2-22222-2-2-2-2002220000-2-2000-2000200000000000000
χ2822222222-2-2-2-22222-2-2-2-2002-2-20000220002000-200000000000000
χ292-2-2222-2-2002i−2i2i−2i002-2002-2000002i−2i00000000002−2i2−i22−2i2−i2000000
χ302-2-2222-2-2002i−2i2i−2i002-2002-2000002i−2i0000000000−22−i2i2−22−i2i2000000
χ312-2-2222-2-2002i−2i2i−2i002-200-2200000−2i2i00000000002−2i2−i2−22−i2i2000000
χ322-2-2222-2-2002i−2i2i−2i002-200-2200000−2i2i0000000000−22−i2i22−2i2−i2000000
χ332-2-2222-2-200−2i2i−2i2i002-2002-200000−2i2i00000000002−2−i2i22−2−i2i2000000
χ342-2-2222-2-200−2i2i−2i2i002-2002-200000−2i2i0000000000−22i2−i2−22i2−i2000000
χ352-2-2222-2-200−2i2i−2i2i002-200-22000002i−2i00000000002−2−i2i2−22i2−i2000000
χ362-2-2222-2-200−2i2i−2i2i002-200-22000002i−2i0000000000−22i2−i22−2−i2i2000000
χ3744-44-4-44-40000004-400000000000004i−4i0000000000000000000000
χ3844-44-4-44-40000004-40000000000000−4i4i0000000000000000000000
χ3944-44-4-44-4000000-4400000004i−4i0000000000000000000000000000
χ4044-44-4-44-4000000-440000000−4i4i0000000000000000000000000000
χ414-44-44-44-44-400000000000000000000000000000000000002i−2i2i−2i00
χ424-44-44-44-44-40000000000000000000000000000000000000−2i2i−2i2i00
χ434-44-44-44-4-4400000000000000000000000000000000000002i−2i−2i2i00
χ444-44-44-44-4-440000000000000000000000000000000000000−2i2i2i−2i00
χ454-4-4444-4-4004i−4i−4i4i00-4400000000000000000000000000000000000
χ464-4-4444-4-400−4i4i4i−4i00-4400000000000000000000000000000000000
χ474-4-4-4-444400000000004-4000000000004-400000000000000000000
χ484-4-4-4-444400000000004-400000000000-4400000000000000000000
χ494-4-4-4-44440000000000-44000004-400000000000000000000000000
χ504-4-4-4-44440000000000-4400000-4400000000000000000000000000
χ51888-8-88-8-8000000000000000000000000000000000000000000000
χ5288-8-88-8-88000000000000000000000000000000000000000000000
χ538-888-8-8-88000000000000000000000000000000000000000000000

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