Finite Group Databasebeta

← Group #180464

Character table — Group #180464

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444444888888882444444444448888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-1-11-1-111-1-11-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-111-111-1-1-1-11111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-1111111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111
χ911111111-1-111-1-11111-1-11111-1-1-1-11-111-1-1-11-111-111-1-111-1-11-1
χ1011111111-1-111-1-11111-1-11111-1-1-1-11-1-11-111-11-1-11-1-111-1-1111-1
χ1111111111-1-111-1-11111-1-11111-1-1-1-1-111-11-1-1-111-1111-1-1-1-111-11
χ1211111111-1-111-1-11111-1-11111-1-1-1-1-11-1-11111-1-11-1-1-11111-1-1-11
χ1311111111-1-111-1-11111-1-1-1-1-1-111111-111-1-1-11-111-1-1-111-1-111-11
χ1411111111-1-111-1-11111-1-1-1-1-1-111111-1-11-111-11-1-1111-1-111-1-1-11
χ1511111111-1-111-1-11111-1-1-1-1-1-11111-111-11-1-1-111-11-1-11111-1-11-1
χ1611111111-1-111-1-11111-1-1-1-1-1-11111-11-1-11111-1-11-111-1-1-1-1111-1
χ1722222222222-222-22-2-2-2-200000000220-2-200000000000000000
χ1822222222222-222-22-2-2-2-200000000-2-202200000000000000000
χ192222222222-22-2-2-2-22-22-20000000000000002-20-220000000000
χ202222222222-22-2-2-2-22-22-2000000000000000-2202-20000000000
χ212222222222-2-2-2-22-2-22-2200000000002002-200-2000000000000
χ222222222222-2-2-2-22-2-22-220000000000-200-22002000000000000
χ2322222222-2-22-2-2-2-22-2-222000000002-20-2200000000000000000
χ2422222222-2-22-2-2-2-22-2-22200000000-2202-200000000000000000
χ2522222222-2-2-2222-2-22-2-22000000000000000220-2-20000000000
χ2622222222-2-2-2222-2-22-2-22000000000000000-2-20220000000000
χ2722222222-2-2-2-2222-2-222-20000000000200-2200-2000000000000
χ2822222222-2-2-2-2222-2-222-20000000000-2002-2002000000000000
χ2944-444-4-4-400040000-400000002222−22−220000000000000000000000
χ3044-444-4-4-400040000-40000000−22−2222220000000000000000000000
χ3144-444-4-4-4000-4000040002i22i2−2i2−2i200000000000000000000000000
χ3244-444-4-4-4000-400004000−2i2−2i22i22i200000000000000000000000000
χ3344-4-4-444-40040000-400000000000000000000000000000022−2200
χ3444-4-4-444-40040000-4000000000000000000000000000000−222200
χ3544-4-4-444-400-40000400000000000000000000000000002i2−2i20000
χ3644-4-4-444-400-4000040000000000000000000000000000−2i22i20000
χ374-444-44-4-400004-40000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ384-444-44-4-400004-4000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ394-444-44-4-40000-440000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ404-444-44-4-40000-44000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ414-44-44-44-44-40000000000000000000000000000002i−2i2i−2i000000
χ424-44-44-44-44-4000000000000000000000000000000−2i2i−2i2i000000
χ434-44-44-44-4-440000000000000000000000000000002i−2i−2i2i000000
χ444-44-44-44-4-44000000000000000000000000000000−2i2i2i−2i000000
χ454-4-44-4-444000000400-40000002i2−2i2−2i22i20000000000000000000000
χ464-4-44-4-444000000400-4000000−2i22i22i2−2i20000000000000000000000
χ474-4-44-4-444000000-40040022−22−222200000000000000000000000000
χ484-4-44-4-444000000-400400−222222−2200000000000000000000000000
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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