Finite Group Databasebeta

← Group #500950

Character table — Group #500950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244222244444224444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111
χ511111111111111111-1-11-1-1-1-1111-1-11111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-11-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111
χ711111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-1-11111-1-111
χ811111111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-111111111-1-1
χ9111111-1-111111-1-1-1111-111-1-111-1-1-1-1-1111-11-1-11-11-111-1-11-11-1
χ10111111-1-111111-1-1-1111-111-1-111-1-1-1-1-111-11-11-1-11-1111-1-1-11-11
χ11111111-1-111111-1-1-1111-111-1-1-1-1-1-1-111-1-11-1-1111-1-11-1-1111-1-11
χ12111111-1-111111-1-1-1111-111-1-1-1-1-1-1-111-1-1-111-11-111-1-1-111-111-1
χ13111111-1-111111-1-1-11-1-1-1-1-11111-111-1-1111-11-1-11-11-1-1-111-11-11
χ14111111-1-111111-1-1-11-1-1-1-1-11111-111-1-111-11-11-1-11-11-1-1111-11-1
χ15111111-1-111111-1-1-11-1-1-1-1-111-1-1-11111-1-11-1-1111-1-1111-1-1-111-1
χ16111111-1-111111-1-1-11-1-1-1-1-111-1-1-11111-1-1-111-11-111-111-1-11-1-11
χ17222222222-2-22-22-2-2-2002000000-200000022000-2-20000000000
χ18222222222-2-22-22-2-2-2002000000-2000000-2-2000220000000000
χ1922222222-222-2-2222-200-2000022-20022-2-20000-2000000000000
χ2022222222-222-2-2222-200-20000-2-2-200-2-22200002000000000000
χ2122222222-2-2-2-222-2-2200-200000020000000022000-2-200000000
χ2222222222-2-2-2-222-2-2200-2000000200000000-2-20002200000000
χ23222222-2-22-2-22-2-222-200-200000020000002-2000-220000000000
χ24222222-2-22-2-22-2-222-200-20000002000000-220002-20000000000
χ25222222-2-2-222-2-2-2-2-2-2002000022200-2-2-2-200002000000000000
χ26222222-2-2-222-2-2-2-2-2-20020000-2-220022220000-2000000000000
χ27222222-2-2-2-2-2-22-2222002000000-2000000002-2000-2200000000
χ28222222-2-2-2-2-2-22-2222002000000-200000000-220002-200000000
χ2922-2-22-20022-2-22000-22-202-2002-2000002-20000000002-2000000
χ3022-2-22-20022-2-22000-22-202-200-2200000-22000000000-22000000
χ3122-2-22-20022-2-22000-2-220-22002-2000002-2000000000-22000000
χ3222-2-22-20022-2-22000-2-220-2200-2200000-220000000002-2000000
χ3322-2-22-200-22-22-20002000002i−2i2-202i−2i00-22000000000002i−2i0000
χ3422-2-22-200-22-22-20002000002i−2i-2202i−2i002-200000000000−2i2i0000
χ3522-2-22-200-22-22-2000200000−2i2i2-20−2i2i00-2200000000000−2i2i0000
χ3622-2-22-200-22-22-2000200000−2i2i-220−2i2i002-2000000000002i−2i0000
χ374444-4-44400000-4000220-2-222000-2-2000000000000000000000
χ384444-4-44400000-4000-2-2022-2-200022000000000000000000000
χ394444-4-4-4-4000004000220-2-2-2-200022000000000000000000000
χ404444-4-4-4-4000004000-2-202222000-2-2000000000000000000000
χ4144-4-44-4004-44-4-40004000000000000000000000000000000000
χ4244-4-44-400-4-4444000-4000000000000000000000000000000000
χ4344-4-4-44000000004i−4i02-20-222i−2i000−2i2i000000000000000000000
χ4444-4-4-44000000004i−4i0-2202-2−2i2i0002i−2i000000000000000000000
χ4544-4-4-4400000000−4i4i02-20-22−2i2i0002i−2i000000000000000000000
χ4644-4-4-4400000000−4i4i0-2202-22i−2i000−2i2i000000000000000000000
χ478-88-8008-8000000000000000000000000000000000000000000
χ488-88-800-88000000000000000000000000000000000000000000
χ498-8-8800000000000000000000000004-40000000000000000000
χ508-8-880000000000000000000000000-440000000000000000000

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