Finite Group Databasebeta

← Group #337284

Character table — Group #337284

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-11
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-11111-111-1-1-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-111111-11
χ11111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-11-1-111-1-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11111-1-1-111-1-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-1111-1-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-111111-1-1
χ1722222222222-2-2-2-22-2-2222200002200-2-2000000000000-2-20002000000000
χ1822222222222-2-2-2-22-2-222220000-2-200-2-200000000000022000-2000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-200002200220000000000002-2000-2000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-20000-2-20022000000000000-220002000000000
χ2122222222-2-2-22222-2-2-2000022-2-200220022-2-20000000000-2000000000000
χ2222222222-2-2-22222-2-2-2000022-2-200-2-200-2-22200000000002000000000000
χ2322222222-2-2-22222-2-2-20000-2-222002200-2-2220000000000-2000000000000
χ2422222222-2-2-22222-2-2-20000-2-22200-2-20022-2-200000000002000000000000
χ2522-2-22-2-220002-22-2000i2i2−i2−i22-200002-2i2−i22-200i2i2−i2−i2i2i2−i2−i20000000000i2−i2000
χ2622-2-22-2-220002-22-2000i2i2−i2−i22-20000-22i2−i2-2200i2i2−i2−i2−i2−i2i2i20000000000−i2i2000
χ2722-2-22-2-220002-22-2000i2i2−i2−i2-2200002-2i2−i2-2200−i2−i2i2i2−i2−i2i2i20000000000i2−i2000
χ2822-2-22-2-220002-22-2000i2i2−i2−i2-220000-22i2−i22-200−i2−i2i2i2i2i2−i2−i20000000000−i2i2000
χ2922-2-22-2-220002-22-2000−i2−i2i2i22-200002-2−i2i22-200−i2−i2i2i2−i2−i2i2i20000000000−i2i2000
χ3022-2-22-2-220002-22-2000−i2−i2i2i22-20000-22−i2i2-2200−i2−i2i2i2i2i2−i2−i20000000000i2−i2000
χ3122-2-22-2-220002-22-2000−i2−i2i2i2-2200002-2−i2i2-2200i2i2−i2−i2i2i2−i2−i20000000000−i2i2000
χ3222-2-22-2-220002-22-2000−i2−i2i2i2-220000-22−i2i22-200i2i2−i2−i2−i2−i2i2i20000000000i2−i2000
χ332-22-222-2-2-2-2222-2-222-20000000000000000002-22-200000002i−2i0002i−2i00000
χ342-22-222-2-2-2-2222-2-222-20000000000000000002-22-20000000−2i2i000−2i2i00000
χ352-22-222-2-2-2-2222-2-222-2000000000000000000-22-2200000002i−2i000−2i2i00000
χ362-22-222-2-2-2-2222-2-222-2000000000000000000-22-220000000−2i2i0002i−2i00000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-44-4-44-440000-400000000004-40000000000000000000000000000000
χ3944-44-44-4-44-440000-40000000000-440000000000000000000000000000000
χ4044-44-44-4-4-44-40000400000000000000000000000000000000002i2−2i20000000
χ4144-44-44-4-4-44-4000040000000000000000000000000000000000−2i22i20000000
χ4244-4-44-4-44000-44-440002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ4344-4-44-4-44000-44-44000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ444-444-4-4-4400000000002i2−2i22i2−2i20000000000002i2−2i200002-22-2000000000000000
χ454-444-4-4-4400000000002i2−2i22i2−2i2000000000000−2i22i20000-22-22000000000000000
χ464-444-4-4-440000000000−2i22i2−2i22i20000000000002i2−2i20000-22-22000000000000000
χ474-444-4-4-440000000000−2i22i2−2i22i2000000000000−2i22i200002-22-2000000000000000
χ484-44-444-4-444-444-4-4-4-4400000000000000000000000000000000000000000
χ494-44-444-4-444-4-4-444-44-400000000000000000000000000000000000000000
χ504-44-444-4-4-4-44-4-4444-4400000000000000000000000000000000000000000
χ514-4-444-44-40004-4-440000000000000000000002i2−2i2−2i22i20000000000000000000
χ524-4-444-44-40004-4-44000000000000000000000−2i22i22i2−2i20000000000000000000
χ534-4-444-44-4000-444-40000000004i−4i000000000000000000000000000000000
χ544-4-444-44-4000-444-4000000000−4i4i000000000000000000000000000000000
χ554-4-4-4-44444-4-400004004-4-440000000000000000000000000000000000000
χ564-4-4-4-44444-4-40000400-444-40000000000000000000000000000000000000
χ574-4-4-4-4444-4440000-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-4-4-4444-4440000-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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