Finite Group Databasebeta

← Group #484368

Character table — Group #484368

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244442244444444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-111-1-111-1-111-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111
χ51111111111111111-1-1-1-1111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-111111111-1-1-1-1
χ9111111-1-1-1-111-1-1-1-111-1-1111111-11-11-11-11-11-1-111-1-111-1-111-1-1
χ10111111-1-1-1-111-1-1-1-111-1-1111111-1-111-1-111-11-1-1-1-111-1-111-1-111
χ11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1111-1-1-1-111-1-111
χ12111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111-11-11-11-111-11-1-11111-1-111-1-1
χ13111111-1-1-1-111-1-1-1-1-1-111111111-11-1-111-1-11-11-1-1-11111-1-1-1-111
χ14111111-1-1-1-111-1-1-1-1-1-111111111-1-11-11-11-11-11-111-1-1-1-11111-1-1
χ15111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-11-11-1-111-1-111-1-11111-1-1
χ16111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-111-1-111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-222220000-2-2000000000-2-20000000000000
χ1822222222222222-2-2-2-2-2-20000-2-2000000000220000000000000
χ192222222222-2-2-2-22-2000000002-20002200-2-2000000000000000
χ202222222222-2-2-2-22-2000000002-2000-2-20022000000000000000
χ212222222222-2-2-2-2-22000022-2-2-2220000000000-2000000000000
χ222222222222-2-2-2-2-220000-2-222-22-200000000002000000000000
χ23222222-2-2-2-222-2-22222-2-20000-2-2000000000-220000000000000
χ24222222-2-2-2-222-2-222-2-2220000-2-20000000002-20000000000000
χ25222222-2-2-2-2-2-2222-2000022-2-2-22-200000000002000000000000
χ26222222-2-2-2-2-2-2222-20000-2-222-2220000000000-2000000000000
χ27222222-2-2-2-2-2-222-22000000002-20002-200-22000000000000000
χ28222222-2-2-2-2-2-222-22000000002-2000-22002-2000000000000000
χ292-2-22-2222-2-22-22-2002i−2i2i−2i00000000000000000000002−22−2i2−i2i2−i2
χ302-2-22-2222-2-22-22-2002i−2i2i−2i0000000000000000000000−22−22−i2i2−i2i2
χ312-2-22-2222-2-22-22-200−2i2i−2i2i00000000000000000000002−22−2−i2i2−i2i2
χ322-2-22-2222-2-22-22-200−2i2i−2i2i0000000000000000000000−22−22i2−i2i2−i2
χ332-2-22-22-2-2222-2-22002i−2i−2i2i00000000000000000000002−2−22i2−i2−i2i2
χ342-2-22-22-2-2222-2-22002i−2i−2i2i0000000000000000000000−222−2−i2i2i2−i2
χ352-2-22-22-2-2222-2-2200−2i2i2i−2i00000000000000000000002−2−22−i2i2i2−i2
χ362-2-22-22-2-2222-2-2200−2i2i2i−2i0000000000000000000000−222−2i2−i2−i2i2
χ374444-4-44-44-4000000000000000002200-2-200000000000000000
χ384444-4-44-44-400000000000000000-2-2002200000000000000000
χ394444-4-4-44-44000000000000000002-200-2200000000000000000
χ404444-4-4-44-4400000000000000000-22002-200000000000000000
χ414-4-444-44-4-4400000000000000000000000000002i−2i2i−2i00000000
χ424-4-444-44-4-440000000000000000000000000000−2i2i−2i2i00000000
χ434-4-444-4-444-400000000000000000000000000002i−2i−2i2i00000000
χ444-4-444-4-444-40000000000000000000000000000−2i2i2i−2i00000000
χ454-4-44-4444-4-4-44-44000000000000000000000000000000000000
χ464-4-44-44-4-444-444-4000000000000000000000000000000000000
χ4788-8-800000000000000004i−4i0000000000000000000000000000
χ4888-8-80000000000000000−4i4i0000000000000000000000000000
χ498-88-80000000000000000004i−4i00000000000000000000000000
χ508-88-8000000000000000000−4i4i00000000000000000000000000

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