Finite Group Databasebeta

← Group #103407

Character table — Group #103407

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ9222222222222222-2-2-2-22-2-20000220000-2-20000000000000000
χ10222222222222222-2-2-2-22-2-20000-2-20000220000000000000000
χ11222222222222-2-2-222-2-2-22-200000000000022-2-2000000000000
χ12222222222222-2-2-222-2-2-22-2000000000000-2-222000000000000
χ13222222222222-2-2-2-2-222-2-2200220000-2-2000000000000000000
χ14222222222222-2-2-2-2-222-2-2200-2-2000022000000000000000000
χ1522222222-2-2-2-222-22222-2-2-2000000000000000022-2-200000000
χ1622222222-2-2-2-222-22222-2-2-20000000000000000-2-22200000000
χ1722222222-2-2-2-222-2-2-2-2-2-222000000000000000000002i2i−2i−2i0000
χ1822222222-2-2-2-222-2-2-2-2-2-22200000000000000000000−2i−2i2i2i0000
χ1922222222-2-2-2-2-2-2222-2-22-2200000000000000000000000022-2-2
χ2022222222-2-2-2-2-2-2222-2-22-22000000000000000000000000-2-222
χ2122222222-2-2-2-2-2-22-2-22222-2220000-2-200000000000000000000
χ2222222222-2-2-2-2-2-22-2-22222-2-2-200002200000000000000000000
χ2322-22-22-2-222-2-22-2-2000020000002-20000000000i2−i2i2−i2i2−i2i2−i20000
χ2422-22-22-2-222-2-22-2-2000020000002-20000000000−i2i2−i2i2−i2i2−i2i20000
χ2522-22-22-2-222-2-22-2-200002000000-220000000000i2−i2i2−i2−i2i2−i2i20000
χ2622-22-22-2-222-2-22-2-200002000000-220000000000−i2i2−i2i2i2−i2i2−i20000
χ2722-22-22-2-2-2-2222-220000-20000000000002i−2i0000i2−i2−i2i22−2−220000
χ2822-22-22-2-2-2-2222-220000-20000000000002i−2i0000−i2i2i2−i2−222−20000
χ2922-22-22-2-2-2-2222-220000-2000000000000−2i2i0000i2−i2−i2i2−222−20000
χ3022-22-22-2-2-2-2222-220000-2000000000000−2i2i0000−i2i2i2−i22−2−220000
χ3144-44-44-4-444-4-4-4440000-4000000000000000000000000000000
χ3244-44-44-4-4-4-444-44-400004000000000000000000000000000000
χ3344-4-44-44-40000000004-40000000000000002i−2i2i−2i000000000000
χ3444-4-44-44-40000000004-4000000000000000−2i2i−2i2i000000000000
χ3544-4-44-44-4000000000-440000000000000002i−2i−2i2i000000000000
χ3644-4-44-44-4000000000-44000000000000000−2i2i2i−2i000000000000
χ374-444-4-44-400000004i−4i00000002i−2i00002-2000000000000000000
χ384-444-4-44-400000004i−4i0000000−2i2i0000-22000000000000000000
χ394-444-4-44-40000000−4i4i00000002i−2i0000-22000000000000000000
χ404-444-4-44-40000000−4i4i0000000−2i2i00002-2000000000000000000
χ414-44-444-4-44-44-400000000000000000000000000000000002i−2i2i−2i
χ424-44-444-4-44-44-40000000000000000000000000000000000−2i2i−2i2i
χ434-44-444-4-4-44-4400000000000000000000000000000000002i−2i−2i2i
χ444-44-444-4-4-44-440000000000000000000000000000000000−2i2i2i−2i
χ454-4-4-4-44444-4-4400000000002-200002-200000000000000000000
χ464-4-4-4-44444-4-440000000000-220000-2200000000000000000000
χ474-4-4-4-4444-444-400000000002-20000-2200000000000000000000
χ484-4-4-4-4444-444-40000000000-2200002-200000000000000000000
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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