Finite Group Databasebeta

← Group #330489

Character table — Group #330489

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444444442244444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ91111111111111111-1-1-1-11111-111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-11-1
χ101111111111111111-1-1-1-11111-111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-11-11
χ111111111111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11
χ121111111111111111-1-1-1-11111-111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1
χ131111111111111111-1-1-1-111-1-1-1-1-11111-111-1-111-1-111-1-111-1-111-1-1-11-11
χ141111111111111111-1-1-1-111-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111-1-1111-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1-1-111-111-1
χ161111111111111111-1-1-1-111-1-1-1-1-11111-1-1-111-1-111-1-111-1-11111-1-11-1-11
χ172222222222-2-22-2-2222-2-2-2-2222-2-222-2-2-2000000000000000000000000
χ182222222222-2-22-2-2222-2-2-2-2-2-2222-2-222-2000000000000000000000000
χ192222222222-2-22-2-22-2-222-2-222-2-2-2-2-2222000000000000000000000000
χ202222222222-2-22-2-22-2-222-2-2-2-2-22222-2-22000000000000000000000000
χ2122222222-2-222-222-22222-2-200-2000000-22222-2-2-2-20000000000000000
χ2222222222-2-222-222-22222-2-200-2000000-2-2-2-2-222220000000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-2002000000222-2-2-2-2220000000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20020000002-2-22222-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200-2000000200000000002i−2i2i−2i0000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200-200000020000000000−2i2i−2i2i0000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222002000000-200000000002i−2i−2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222002000000-20000000000−2i2i2i−2i0000000000
χ292-2222-2-2-200-2-202202-22-200000000000000002-22-2i2−i20000i2−i2i2−i2i2−i20000
χ302-2222-2-2-200-2-202202-22-200000000000000002-22-2−i2i20000−i2i2−i2i2−i2i20000
χ312-2222-2-2-200-2-202202-22-20000000000000000-22-22i2−i20000i2−i2−i2i2−i2i20000
χ322-2222-2-2-200-2-202202-22-20000000000000000-22-22−i2i20000−i2i2i2−i2i2−i20000
χ332-2222-2-2-200-2-20220-22-2200000000000000002-2-22i2−i20000−i2i2i2−i2−i2i20000
χ342-2222-2-2-200-2-20220-22-2200000000000000002-2-22−i2i20000i2−i2−i2i2i2−i20000
χ352-2222-2-2-200-2-20220-22-220000000000000000-222-2i2−i20000−i2i2−i2i2i2−i20000
χ362-2222-2-2-200-2-20220-22-220000000000000000-222-2−i2i20000i2−i2i2−i2−i2i20000
χ37444-4-44-4-44-400400-4000000000004-4000000000000000000000000000
χ38444-4-44-4-44-400400-400000000000-44000000000000000000000000000
χ39444-4-44-4-4-4400-400400000000000004i−4i0000000000000000000000000
χ40444-4-44-4-4-4400-40040000000000000−4i4i0000000000000000000000000
χ4144-44-4-4-44004-404-400000000000000000004i−4i00000000000000000000
χ4244-44-4-4-44004-404-40000000000000000000−4i4i00000000000000000000
χ4344-44-4-4-4400-440-44000000000000000004i−4i0000000000000000000000
χ4444-44-4-4-4400-440-4400000000000000000−4i4i0000000000000000000000
χ454-4444-4-4-400440-4-404-4-44000000000000000000000000000000000000
χ464-4444-4-4-400440-4-40-444-4000000000000000000000000000000000000
χ474-4-44-444-4444-4-4-44-400004-40000000000000000000000000000000000
χ484-4-44-444-444-44-44-4-40000-440000000000000000000000000000000000
χ494-4-44-444-4-4-44-44-4440000-440000000000000000000000000000000000
χ504-4-44-444-4-4-4-4444-4400004-40000000000000000000000000000000000
χ514-4-4-444-444-400-40040000004-400000000000000000000000000000000
χ524-4-4-444-444-400-4004000000-4400000000000000000000000000000000
χ534-4-4-444-44-4400400-40000000004i−4i00000000000000000000000000000
χ544-4-4-444-44-4400400-4000000000−4i4i00000000000000000000000000000
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-88-8-8-888000000000000000000000000000000000000000000000000

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