Finite Group Databasebeta

← Group #329366

Character table — Group #329366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11-11-1-1-11111-1-111-1-11-1
χ1011111111111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1-1-111-11
χ1111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-111-1-111-11
χ1211111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111-1-11-1
χ1311111111111111111-1-1-1-1-1-11-1-1-1-111-1111111-1-1-1-11-11-111-1-1-1-11111-1-1-11
χ1411111111111111111-1-1-1-1-1-11-1-1-1-111-1111111-1-1-1-1-11-11-1-111-1-111-1-1111-1
χ1511111111111111111-1-1-1-1-1-11-1-1-1-111-111-1-1-1-111111-11-111-1-111-1-1-1-1111-1
χ1611111111111111111-1-1-1-1-1-11-1-1-1-111-111-1-1-1-11111-11-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-22222-2-2-222-2-2-2-2-22200000000000000000000000000
χ1822222222222-2-2-2-22-22222-2-2-2-2-22222-2-2-200000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-2-222-222-2-2222-2-200000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-222-2-2-222-2-222200000000000000000000000000
χ2122222222-2-2-22222-2-222-2-222-2000000-200000000002-2-2200000000000000
χ2222222222-2-2-22222-2-222-2-222-2000000-20000000000-222-200000000000000
χ2322222222-2-2-22222-2-2-2-222-2-2-20000002000000000022-2-200000000000000
χ2422222222-2-2-22222-2-2-2-222-2-2-200000020000000000-2-22200000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-220000002000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-22000000200000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-222222000000-2000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-222222000000-200000000000000-222-20000000000
χ2922-222-2-2-22-2-20000202-22-20002i−2i000002i−2i22−2−222−2−200000000i2−i2i2−i2000000
χ3022-222-2-2-22-2-20000202-22-20002i−2i000002i−2i−2−222−2−22200000000−i2i2−i2i2000000
χ3122-222-2-2-22-2-20000202-22-2000−2i2i00000−2i2i22−2−222−2−200000000−i2i2−i2i2000000
χ3222-222-2-2-22-2-20000202-22-2000−2i2i00000−2i2i−2−222−2−22200000000i2−i2i2−i2000000
χ3322-222-2-2-22-2-2000020-22-220002i−2i00000−2i2i22−2−2−2−22200000000i2−i2−i2i2000000
χ3422-222-2-2-22-2-2000020-22-220002i−2i00000−2i2i−2−22222−2−200000000−i2i2i2−i2000000
χ3522-222-2-2-22-2-2000020-22-22000−2i2i000002i−2i22−2−2−2−22200000000−i2i2i2−i2000000
χ3622-222-2-2-22-2-2000020-22-22000−2i2i000002i−2i−2−22222−2−200000000i2−i2−i2i2000000
χ3744-444-4-4-4-4440000-404-4-4400000000000000000000000000000000000000
χ3844-444-4-4-4-4440000-40-444-400000000000000000000000000000000000000
χ3944-4-4-44-440004-44-4000000000000000000000000000000000000002i2−2i20000
χ4044-4-4-44-440004-44-400000000000000000000000000000000000000−2i22i20000
χ4144-4-4-44-44000-44-4400000000000000000000000000000000000000002i2−2i200
χ4244-4-4-44-44000-44-440000000000000000000000000000000000000000−2i22i200
χ434-444-44-4-444-444-4-4-4-4000000400000000000000000000000000000000000
χ444-444-44-4-444-4-4-444-44000000-400000000000000000000000000000000000
χ454-444-44-4-4-4-4444-4-444000000-400000000000000000000000000000000000
χ464-444-44-4-4-4-44-4-4444-4000000400000000000000000000000000000000000
χ474-44-44-4-4400000000000004-400000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ484-44-44-4-4400000000000004-40000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ494-44-44-4-440000000000000-4400000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ504-44-44-4-440000000000000-440000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ514-4-44-4-4444-440000-40000000000004i−4i00000000000000000000000000000
χ524-4-44-4-4444-440000-4000000000000−4i4i00000000000000000000000000000
χ534-4-44-4-444-44-40000400000000004-40000000000000000000000000000000
χ544-4-44-4-444-44-4000040000000000-440000000000000000000000000000000
χ554-4-4-4444-40004-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ564-4-4-4444-40004-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ574-4-4-4444-4000-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ584-4-4-4444-4000-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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