Finite Group Databasebeta

← Group #329934

Character table — Group #329934

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222222244444488888888888888888816161616161616161616161632323232
order12222222444444444444442444444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111
χ511111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111
χ811111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ9111111111111111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11-11-1
χ10111111111111111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-11-11
χ11111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-11
χ12111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-111-1
χ13111111111111111111-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-11-11
χ14111111111111111111-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111-11-1
χ15111111111111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-111-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-11111-1-111-1-11-1-11
χ172222222222-2-2-222-2-2-22222-20000-2000022-2-222-2-20000000000000000
χ182222222222-2-2-222-2-2-22222-20000-20000-2-222-2-2220000000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-2200002000022-2-2-2-2220000000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-22000020000-2-22222-2-20000000000000000
χ2122222222-2-2222-2-22-2-222-2-2-222-2-22-2-222000000000000000000000000
χ2222222222-2-2222-2-22-2-222-2-2-2-2-222222-2-2000000000000000000000000
χ2322222222-2-2222-2-22-2-2-2-22222222-2-2-2-2-2000000000000000000000000
χ2422222222-2-2222-2-22-2-2-2-2222-2-2-2-2-22222000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-220000-200000000000000002i−2i2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-22222-2-220000-20000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-222-2-222-20000200000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2000020000000000000000−2i2i2i−2i00000000
χ2922-2-222-2-22-20002-20002i−2i2i−2i0000000000002-2002i−2i2−22−20000i2−i2i2−i20000
χ3022-2-222-2-22-20002-20002i−2i2i−2i0000000000002-2002i−2i−22−220000−i2i2−i2i20000
χ3122-2-222-2-22-20002-20002i−2i2i−2i000000000000-2200−2i2i2−2−220000i2−i2−i2i20000
χ3222-2-222-2-22-20002-20002i−2i2i−2i000000000000-2200−2i2i−222−20000−i2i2i2−i20000
χ3322-2-222-2-22-20002-2000−2i2i−2i2i0000000000002-200−2i2i2−22−20000−i2i2−i2i20000
χ3422-2-222-2-22-20002-2000−2i2i−2i2i0000000000002-200−2i2i−22−220000i2−i2i2−i20000
χ3522-2-222-2-22-20002-2000−2i2i−2i2i000000000000-22002i−2i2−2−220000−i2i2i2−i20000
χ3622-2-222-2-22-20002-2000−2i2i−2i2i000000000000-22002i−2i−222−20000i2−i2−i2i20000
χ37444-4-4-44-40044-400-40000000004-400000000000000000000000000000
χ38444-4-4-44-40044-400-4000000000-4400000000000000000000000000000
χ39444-4-4-44-400-4-44004000000000000004i−4i000000000000000000000000
χ40444-4-4-44-400-4-4400400000000000000−4i4i000000000000000000000000
χ4144-4-444-4-4-44000-440004i−4i−4i4i0000000000000000000000000000000000
χ4244-4-444-4-4-44000-44000−4i4i4i−4i0000000000000000000000000000000000
χ434-44-44-4-444-4000-440000000000000000000004i−4i000000000000000000
χ444-44-44-4-444-4000-44000000000000000000000−4i4i000000000000000000
χ454-44-44-4-44-440004-4000000000000000004i−4i0000000000000000000000
χ464-44-44-4-44-440004-400000000000000000−4i4i0000000000000000000000
χ474-4-444-44-4444-4-4-4-444-400000000000000000000000000000000000000
χ484-4-444-44-444-444-4-4-4-4400000000000000000000000000000000000000
χ494-4-444-44-4-4-44-4-4444-4400000000000000000000000000000000000000
χ504-4-444-44-4-4-4-44444-44-400000000000000000000000000000000000000
χ514-4-4-4-4444004-4400-400000004i−4i0000000000000000000000000000000
χ524-4-4-4-4444004-4400-40000000−4i4i0000000000000000000000000000000
χ534-4-4-4-444400-44-40040000000000004-400000000000000000000000000
χ544-4-4-4-444400-44-4004000000000000-4400000000000000000000000000
χ5588-88-8-8-88000000000000000000000000000000000000000000000000
χ568-888-88-8-8000000000000000000000000000000000000000000000000

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