Finite Group Databasebeta

← Group #484607

Character table — Group #484607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222224444444444444444222444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-111-1-11-1111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-11-1-1-11-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111-11111-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-1-1-111111-1-1-1111-111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1-11111111111-1-1-1-1
χ911111-1-1-1-111-1-11-1-1111111-1-11111-11-1-1-11-1-11-111-1-111-1-111-1-1
χ1011111-1-1-1-111-1-11-1-1111111-1-1111-111-1-1-1-11-11-1-1-111-1-111-1-111
χ1111111-1-1-1-111-1-11-1-11111-1-11111-11-1-11-111-1-1-11-1-11111-1-1-1-111
χ1211111-1-1-1-111-1-11-1-11111-1-11111-1-11-11-11-11-1-1111-1-1-1-11111-1-1
χ1311111-1-1-1-111-1-11-1-1-1-1-1-111-1-111-11-11-1111-11-1111-1-1-1-111-1-111
χ1411111-1-1-1-111-1-11-1-1-1-1-1-111-1-111-1-111-111-111-11-1-11111-1-111-1-1
χ1511111-1-1-1-111-1-11-1-1-1-1-1-1-1-1111111-1-111-11-111-1-1-111-1-11111-1-1
χ1611111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111-11-111-1-1111-111-1-111-1-1-1-111
χ1722222222222222-2-200002222-2-2000-2-20000000000000000000
χ1822222222222222-2-20000-2-2-2-2-2-2000220000000000000000000
χ192222222222-2-2-2-22-2000000002-22000002000-2-2000000000000
χ202222222222-2-2-2-22-2000000002-2-200000-200022000000000000
χ212222222222-2-2-2-2-2222-2-20000-22000002000-200000000000000
χ222222222222-2-2-2-2-22-2-2220000-2200000-2000200000000000000
χ2322222-2-2-2-222-2-2222000022-2-2-2-2000-220000000000000000000
χ2422222-2-2-2-222-2-22220000-2-222-2-20002-20000000000000000000
χ2522222-2-2-2-22-222-22-222-2-20000-2200000-2000200000000000000
χ2622222-2-2-2-22-222-22-2-2-2220000-22000002000-200000000000000
χ2722222-2-2-2-22-222-2-22000000002-2200000-2000-22000000000000
χ2822222-2-2-2-22-222-2-22000000002-2-20000020002-2000000000000
χ292-2-22-222-2-22-22-220000002-22-20000000000000000002−22−22−22−2
χ302-2-22-222-2-22-22-220000002-22-2000000000000000000−22−22−22−22
χ312-2-22-222-2-22-22-22000000-22-220000000000000000002−22−2−22−22
χ322-2-22-222-2-22-22-22000000-22-22000000000000000000−22−222−22−2
χ332-2-22-2-2-2222-2-2220000002-2-220000000000000000002−2−222−2−22
χ342-2-22-2-2-2222-2-2220000002-2-22000000000000000000−222−2−222−2
χ352-2-22-2-2-2222-2-222000000-222-20000000000000000002−2−22−222−2
χ362-2-22-2-2-2222-2-222000000-222-2000000000000000000−222−22−2−22
χ374444-44-44-4-400000000000000000220000-2-2000000000000000
χ384444-44-44-4-400000000000000000-2-2000022000000000000000
χ394444-4-44-44-4000000000000000002-20000-22000000000000000
χ404444-4-44-44-400000000000000000-2200002-2000000000000000
χ414-4-4444-4-44-400000000000000000000000000002i−2i2i−2i00000000
χ424-4-4444-4-44-40000000000000000000000000000−2i2i−2i2i00000000
χ434-4-444-444-4-400000000000000000000000000002i−2i−2i2i00000000
χ444-4-444-444-4-40000000000000000000000000000−2i2i2i−2i00000000
χ454-4-44-444-4-444-44-4000000000000000000000000000000000000
χ464-4-44-4-4-444444-4-4000000000000000000000000000000000000
χ4788-8-8000000000000004-4000000000000000000000000000000
χ4888-8-800000000000000-44000000000000000000000000000000
χ498-88-80000000000004i−4i00000000000000000000000000000000
χ508-88-8000000000000−4i4i00000000000000000000000000000000

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