Finite Group Databasebeta

← Group #500040

Character table — Group #500040

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222222244442222444444444444442444444488884444
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1111111-1-111-11-1-1-11-1-11111-1-1-1-1
χ311111111111111111111-1-111111111-1-1-1-11-1-11-1-11-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-111111111-1-1-1-11-11-1-11-1-1-1-1-1-111
χ51111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-11-1-1-11-1-1-1-1-1-11111
χ71111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11-11111-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-1-11111111-1-1
χ9111111-1-111111-1-1111-1-11111-1-111-1-11111-1-1-1-11-11-111-1-11-11-1
χ10111111-1-111111-1-1111-1-111-1-1-1-111-1-1-1-1111-111-1-1-1111-1-1-11-11
χ11111111-1-111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1111-1-1111-1-11
χ12111111-1-111111-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1111-1-1-1-111-111-1
χ13111111-1-111111-1-11-1-1111111-1-1-1-1111111-1-1-1-11-11-1-1-111-11-11
χ14111111-1-111111-1-11-1-11111-1-1-1-1-1-111-1-1111-111-1-1-11-1-1111-11-1
χ15111111-1-111111-1-11-1-111-1-111-1-1-1-111-1-1-1-1-111-1-111111-1-1-111-1
χ16111111-1-111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-111-1111-1-111-1-11-1-11
χ172222222222-2-2-2-2-2-2000000002-20000220000-20-200200000000
χ182222222222-2-2-2-2-2-2000000002-20000-2-2000020200-200000000
χ1922222222-2-222-2-2-2-200000022-2200000000-200200-2000000000
χ2022222222-2-222-2-2-2-2000000-2-2-2200000000200-2002000000000
χ2122222222-2-2-2-2222200002200-2-2000000-2-202000-20000000000
χ2222222222-2-2-2-222220000-2-200-2-2000000220-200020000000000
χ23222222-2-222-2-2-222-200000000-22000022000020-200-200000000
χ24222222-2-222-2-2-222-200000000-220000-2-20000-20200200000000
χ25222222-2-2-2-222-222-2000000222-200000000200-200-2000000000
χ26222222-2-2-2-222-222-2000000-2-22-200000000-2002002000000000
χ27222222-2-2-2-2-2-22-2-220000220022000000-2-20-200020000000000
χ28222222-2-2-2-2-2-22-2-220000-2-200220000002202000-20000000000
χ292-2-222-2002-22-2200-2002-22i−2i0000002-2002i−2i00000000002i−2i0000
χ302-2-222-2002-22-2200-2002-2−2i2i0000002-200−2i2i0000000000−2i2i0000
χ312-2-222-2002-22-2200-200-222i−2i000000-22002i−2i0000000000−2i2i0000
χ322-2-222-2002-22-2200-200-22−2i2i000000-2200−2i2i00000000002i−2i0000
χ332-2-222-200-22-22200-22-2002i−2i00002-20000−2i2i000000002i−2i000000
χ342-2-222-200-22-22200-22-200−2i2i00002-200002i−2i00000000−2i2i000000
χ352-2-222-200-22-22200-2-22002i−2i0000-220000−2i2i00000000−2i2i000000
χ362-2-222-200-22-22200-2-2200−2i2i0000-2200002i−2i000000002i−2i000000
χ374444-4-400000004-402222000000-2-2-2-200000000000000000000
χ384444-4-400000004-40-2-2-2-2000000222200000000000000000000
χ394444-4-40000000-44022-2-2000000-2-22200000000000000000000
χ404444-4-40000000-440-2-22200000022-2-200000000000000000000
χ414-4-444-4004-4-44-40040000000000000000000000000000000000
χ424-4-444-400-444-4-40040000000000000000000000000000000000
χ434-4-44-444-4000000002-22-2000000-22-2200000000000000000000
χ444-4-44-444-400000000-22-220000002-22-200000000000000000000
χ454-4-44-44-44000000002-2-22000000-222-200000000000000000000
χ464-4-44-44-4400000000-222-20000002-2-2200000000000000000000
χ4788-8-80000000000000000004i−4i00000000000000000000000000
χ4888-8-8000000000000000000−4i4i00000000000000000000000000
χ498-88-8000000000000000000000000004i−4i000000000000000000
χ508-88-800000000000000000000000000−4i4i000000000000000000

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