Finite Group Databasebeta

← Group #484513

Character table — Group #484513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244442244222444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-11-111-1111-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ5111111111111111-1-11-1-1111111-11111-11-1-11-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111-1-11-1-1111111-1-11-1-1-1-1-1-11-1-11111-1-1-1-11111
χ7111111111111111-1-11-1-1-1-1-1-11111-11111-1-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111111111-1-1-1-1
χ9111111-1-1-1-111-1-1-111-1-1-1111111-11-11-11-11-1-11-111-1-111-1-111-1-1
χ10111111-1-1-1-111-1-1-111-1-1-1111111-1-1-1-11111-1-11-1-1-111-1-111-1-111
χ11111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1111111-1-1-11-11-1111-1-1-1-111-1-111
χ12111111-1-1-1-111-1-1-111-1-1-1-1-1-1-1111-11-11-111-11-11-1-11111-1-111-1-1
χ13111111-1-1-1-111-1-1-1-1-1-11111111111-11-1-1-1-11-1-11-1-11111-1-1-1-111
χ14111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-11-11-11-1-1111-1-1-1-11111-1-1
χ15111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1111-11-1-1111-1-1-111-1-11111-1-1
χ16111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-1111-1111-111-1-111-1-1-1-111
χ1722222222222222-222-2220000-2-20000000-2-2000000000000000
χ1822222222222222-2-2-2-2-2-20000-2-2000000022000000000000000
χ192222222222-2-2-2-2200-20022-2-22-2002000000-200000000000000
χ202222222222-2-2-2-2200-200-2-2222-200-2000000200000000000000
χ212222222222-2-2-2-2-2002000000-222000020000-2-2000000000000
χ222222222222-2-2-2-2-2002000000-22-20000-2000022000000000000
χ23222222-2-2-2-222-2-22222-2-20000-2-20000000-22000000000000000
χ24222222-2-2-2-222-2-22-2-22220000-2-200000002-2000000000000000
χ25222222-2-2-2-2-2-222200-2000000-2220000-200002-2000000000000
χ26222222-2-2-2-2-2-222200-2000000-22-2000020000-22000000000000
χ27222222-2-2-2-2-2-222-20020022-2-22-200-2000000200000000000000
χ28222222-2-2-2-2-2-222-200200-2-2222-2002000000-200000000000000
χ2922-2-22-22i2i−2i−2i2-22i−2i02-202i−2i0000000000000000000000i2−i22−2i2−i22−2
χ3022-2-22-22i2i−2i−2i2-22i−2i02-202i−2i0000000000000000000000−i2i2−22−i2i2−22
χ3122-2-22-22i2i−2i−2i2-22i−2i0-220−2i2i0000000000000000000000i2−i22−2−i2i2−22
χ3222-2-22-22i2i−2i−2i2-22i−2i0-220−2i2i0000000000000000000000−i2i2−22i2−i22−2
χ3322-2-22-2−2i−2i2i2i2-2−2i2i02-20−2i2i0000000000000000000000i2−i2−22i2−i2−22
χ3422-2-22-2−2i−2i2i2i2-2−2i2i02-20−2i2i0000000000000000000000−i2i22−2−i2i22−2
χ3522-2-22-2−2i−2i2i2i2-2−2i2i0-2202i−2i0000000000000000000000i2−i2−22−i2i22−2
χ3622-2-22-2−2i−2i2i2i2-2−2i2i0-2202i−2i0000000000000000000000−i2i22−2i2−i2−22
χ374444-4-44-44-40000000000000000020-220-200000000000000000
χ384444-4-44-44-400000000000000000-202-20200000000000000000
χ394444-4-4-44-440000000000000000020-2-20200000000000000000
χ404444-4-4-44-4400000000000000000-20220-200000000000000000
χ4144-4-44-44i4i−4i−4i-44−4i4i000000000000000000000000000000000000
χ4244-4-44-4−4i−4i4i4i-444i−4i000000000000000000000000000000000000
χ4344-4-4-444i−4i−4i4i00000000000000000000000000002-22i−2i00000000
χ4444-4-4-444i−4i−4i4i0000000000000000000000000000-22−2i2i00000000
χ4544-4-4-44−4i4i4i−4i00000000000000000000000000002-2−2i2i00000000
χ4644-4-4-44−4i4i4i−4i0000000000000000000000000000-222i−2i00000000
χ478-88-800000000000000004i−4i0000000000000000000000000000
χ488-88-80000000000000000−4i4i0000000000000000000000000000
χ498-8-880000000000000000004-400000000000000000000000000
χ508-8-88000000000000000000-4400000000000000000000000000

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