Finite Group Databasebeta

← Group #293843

Character table — Group #293843

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-111-1-1-1111111-1-1-1-11-1-1-111-1-111-1-111-1-11-1
χ611111111111111111111-1-1-111-1-1-111-1-1-1-111111-1-1-111-1-1-1-111-1-111-11
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-1-1-111-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-11111-1-11-1
χ9111111111111111111-1-111111-1-111111111111-11-11-1-1-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111
χ11111111111111111111-1-1111-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ13111111111111111111-1-1-1-1-11111-1111111-1-1-1-1-1-11-1-1-111-1-11111-1-1-11
χ14111111111111111111-1-1-1-1-11111-111-1-1-1-11111-1-11-1-1-11111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-111111-1-111-1-111-1-1-11
χ172222222222-2-222-2-2-2-2002-222200-2-2-2000000000-20200000000000000
χ182222222222-2-222-2-2-2-2002-22-2-200-22200000000020-200000000000000
χ192222222222-2-222-2-2-2-200-22-222002-2-200000000020-200000000000000
χ202222222222-2-222-2-2-2-200-22-2-2-200222000000000-20200000000000000
χ2122222222-2-222-2-222-2-22222-20022-20000000000-20-2000000000000000
χ2222222222-2-222-2-222-2-222-2-2200-2-220000000000-202000000000000000
χ2322222222-2-222-2-222-2-2-2-222-200-2-2-20000000000202000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2200222000000000020-2000000000000000
χ2522222222-2-2-2-2-2-2-2-222002-2-200002000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222002-2-20000200000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-22200-2220000-2000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-22200-2220000-200000000000000-222-20000000000
χ292-2-2-2222-2222-2-2-22-22-2000002i−2i0002i−2i00002i2i−2i−2i000000000000002-200
χ302-2-2-2222-2222-2-2-22-22-2000002i−2i0002i−2i0000−2i−2i2i2i00000000000000-2200
χ312-2-2-2222-2222-2-2-22-22-200000−2i2i000−2i2i00002i2i−2i−2i00000000000000-2200
χ322-2-2-2222-2222-2-2-22-22-200000−2i2i000−2i2i0000−2i−2i2i2i000000000000002-200
χ332-2-2-2222-222-22-2-2-22-22000002i−2i000−2i2i2i2i−2i−2i00000000000000002-20000
χ342-2-2-2222-222-22-2-2-22-22000002i−2i000−2i2i−2i−2i2i2i0000000000000000-220000
χ352-2-2-2222-222-22-2-2-22-2200000−2i2i0002i−2i2i2i−2i−2i0000000000000000-220000
χ362-2-2-2222-222-22-2-2-22-2200000−2i2i0002i−2i−2i−2i2i2i00000000000000002-20000
χ37444-4-44-4-4004-400-44004-4000000000000000000000000000000000000
χ38444-4-44-4-4004-400-4400-44000000000000000000000000000000000000
χ39444-4-44-4-400-44004-40000000004-400000000000000000000000000000
χ40444-4-44-4-400-44004-4000000000-4400000000000000000000000000000
χ4144-444-4-4-44-4004-40000000000000000000022−2222−22000000000000000000
χ4244-444-4-4-44-4004-400000000000000000000−2222−2222000000000000000000
χ4344-444-4-4-4-4400-44000000000000000022−2222−220000000000000000000000
χ4444-444-4-4-4-4400-440000000000000000−2222−22220000000000000000000000
χ454-44-44-4-444-400-44000000000000000000002i2−2i2−2i22i2000000000000000000
χ464-44-44-4-444-400-4400000000000000000000−2i22i22i2−2i2000000000000000000
χ474-44-44-4-44-44004-400000000000000002i2−2i2−2i22i20000000000000000000000
χ484-44-44-4-44-44004-40000000000000000−2i22i22i2−2i20000000000000000000000
χ494-4-44-44-44004400-4-4000000000000000000000000000000002i2−2i2000000
χ504-4-44-44-44004400-4-400000000000000000000000000000000−2i22i2000000
χ514-4-44-44-4400-4-4004400000000000000000000000000000022−2200000000
χ524-4-44-44-4400-4-40044000000000000000000000000000000−222200000000
χ534-4-4-4444-4-4-44-4444-4-4400000000000000000000000000000000000000
χ544-4-4-4444-4-4-4-4444-444-400000000000000000000000000000000000000
χ5588-8-8-8-888000000000000000000000000000000000000000000000000
χ568-888-8-88-8000000000000000000000000000000000000000000000000

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