Finite Group Databasebeta

← Group #477352

Character table — Group #477352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444488882224444444444444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1111-11-1-1-1-11111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111
χ51111111111111111111111-1-111-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ71111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-11-1-1-111-1-111-1-111-1-11111
χ9111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ10111111111111111111-1-1-1-111111-1-1-11-1-1-11111-1-1-1-1-1-11111-1-1
χ11111111111111111111-1-1-1-111-1-1-11-1-1-111111-1-111-1-11111-1-1-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111
χ13111111111111111111-1-1-1-1-1-111-1111-11-1-1-1-1-1-1-1-1-1-111111111
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-11-1111-111-1-11111-1-1-1-111-1-111
χ1722222-2-22-2-2222-2-22-2-2000000002000-2000002i−2i0000002i−2i0000
χ1822222-2-22-2-2222-2-22-2-2000000002000-200000−2i2i000000−2i2i0000
χ1922222-2-22-2-2222-2-22-2-200000000-20002000002i−2i000000−2i2i0000
χ2022222-2-22-2-2222-2-22-2-200000000-2000200000−2i2i0000002i−2i0000
χ2122222-2-22-2-2-2-2-222-2220000002-2002-20000000000002-2000000
χ2222222-2-22-2-2-2-2-222-2220000002-200-22000000000000-22000000
χ2322222-2-22-2-2-2-2-222-222000000-22002-2000000000000-22000000
χ2422222-2-22-2-2-2-2-222-222000000-2200-220000000000002-2000000
χ252222-22-2-2-222-2-22-22-2200002-20002000-20000002-20000000000
χ262222-22-2-2-222-2-22-22-2200002-2000-20002000000-220000000000
χ272222-22-2-2-222-2-22-22-220000-220002000-2000000-220000000000
χ282222-22-2-2-222-2-22-22-220000-22000-200020000002-20000000000
χ2922-2-22-2-2-22222-22-2-22-22i2i−2i−2i0000000000002-20000000000002i−2i
χ3022-2-22-2-2-22222-22-2-22-22i2i−2i−2i000000000000-22000000000000−2i2i
χ3122-2-22-2-2-22222-22-2-22-2−2i−2i2i2i0000000000002-2000000000000−2i2i
χ3222-2-22-2-2-22222-22-2-22-2−2i−2i2i2i000000000000-220000000000002i−2i
χ3322-2-2-2-222-22-22-2-2-2222000000000000002-20000002-200002-200
χ3422-2-2-2-222-22-22-2-2-2222000000000000002-2000000-220000-2200
χ3522-2-2-2-222-22-22-2-2-222200000000000000-220000002-20000-2200
χ3622-2-2-2-222-22-22-2-2-222200000000000000-22000000-2200002-200
χ374444444444-4-4-4-4-4-4-4-400000000000000000000000000000000
χ384444-44-4-4-44-444-44-44-400000000000000000000000000000000
χ394444-4-44-44-44-4-4-4444-400000000000000000000000000000000
χ404444-4-44-44-4-4444-4-4-4400000000000000000000000000000000
χ4144-4-4444-4-4-444-4-44-4-4400000000000000000000000000000000
χ4244-4-4444-4-4-4-4-444-444-400000000000000000000000000000000
χ4344-4-44-4-4-444-4-44-444-4400000000000000000000000000000000
χ4444-4-4-44-444-44-44-4-4-44400000000000000000000000000000000
χ4544-4-4-44-444-4-44-4444-4-400000000000000000000000000000000
χ4644-4-4-4-444-444-4444-4-4-400000000000000000000000000000000
χ478-88-8000000000000002i2−2i22i2−2i20000000000000000000000000000
χ488-88-800000000000000−2i22i2−2i22i20000000000000000000000000000
χ498-8-880000000000000022−22−22220000000000000000000000000000
χ508-8-8800000000000000−222222−220000000000000000000000000000

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