Finite Group Databasebeta

← Group #286912

Character table — Group #286912

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444448888888888888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ9111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11-1
χ10111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-11
χ12111111111111111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-111-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1111-1
χ172222222222-22-2-2-22-2-222-2-222-20000000000000000002-22-2000000000000
χ182222222222-22-2-2-22-2-222-2-222-2000000000000000000-22-22000000000000
χ192222222222-22-2-2-22-2-2-2-222-2-220000000000000000002-2-22000000000000
χ202222222222-22-2-2-22-2-2-2-222-2-22000000000000000000-222-2000000000000
χ2122222222-2-22-2222-2-2-22222-2-2-2000022-2-20000-2-222000000000000000000
χ2222222222-2-22-2222-2-2-22222-2-2-20000-2-222000022-2-2000000000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2222000022220000-2-2-2-2000000000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-22220000-2-2-2-200002222000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-222i2i−2i−2i00002i2i−2i−2i0000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-22−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-22222-22i2i−2i−2i0000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22222-2−2i−2i2i2i00002i2i−2i−2i0000000000000000000000
χ29222-2-2-2-222-22-22-2-222-200000002-22-20000000000000000002i−2i2i−2i00000000
χ30222-2-2-2-222-22-22-2-222-200000002-22-2000000000000000000−2i2i−2i2i00000000
χ31222-2-2-2-222-22-22-2-222-20000000-22-220000000000000000002i−2i−2i2i00000000
χ32222-2-2-2-222-22-22-2-222-20000000-22-22000000000000000000−2i2i2i−2i00000000
χ33222-2-2-2-22-22-22-222-22-200000002i−2i−2i2i0000000000002-2000000002i−2i000000
χ34222-2-2-2-22-22-22-222-22-200000002i−2i−2i2i000000000000-2200000000−2i2i000000
χ35222-2-2-2-22-22-22-222-22-20000000−2i2i2i−2i0000000000002-200000000−2i2i000000
χ36222-2-2-2-22-22-22-222-22-20000000−2i2i2i−2i000000000000-22000000002i−2i000000
χ37444-4-4-4-444-4-4-4-4444-4400000000000000000000000000000000000000000
χ38444-4-4-4-44-44444-4-4-4-4400000000000000000000000000000000000000000
χ3944-444-4-4-44-404000-40000000000000000022−2222−220000000000000000000000
χ4044-444-4-4-44-404000-400000000000000000−2222−22220000000000000000000000
χ4144-444-4-4-4-440-40004000000000000000002i2−2i2−2i22i20000000000000000000000
χ4244-444-4-4-4-440-4000400000000000000000−2i22i22i2−2i20000000000000000000000
χ4344-4-4-444-4440-4000-4004-4004-400000000000000000000000000000000000
χ4444-4-4-444-4440-4000-400-4400-4400000000000000000000000000000000000
χ4544-4-4-444-4-4-4040004004-400-4400000000000000000000000000000000000
χ4644-4-4-444-4-4-404000400-44004-400000000000000000000000000000000000
χ474-444-4-44-40000000000004-400000002i2−2i2000000002i2−2i2000000000000000000
χ484-444-4-44-40000000000004-40000000−2i22i200000000−2i22i2000000000000000000
χ494-444-4-44-4000000000000-4400000002i2−2i200000000−2i22i2000000000000000000
χ504-444-4-44-4000000000000-440000000−2i22i2000000002i2−2i2000000000000000000
χ514-4-44-44-440040-44-400000000000000000000000000000000000000002i2−2i200
χ524-4-44-44-440040-44-40000000000000000000000000000000000000000−2i22i200
χ534-4-44-44-4400-404-440000000000000000000000000000000000000022−220000
χ544-4-44-44-4400-404-4400000000000000000000000000000000000000−22220000
χ554-4-4-44-4440040-4-4400000000000000000000004-400000000000000000000
χ564-4-4-44-4440040-4-440000000000000000000000-4400000000000000000000
χ574-4-4-44-44400-4044-400000000000000004-400000000000000000000000000
χ584-4-4-44-44400-4044-40000000000000000-4400000000000000000000000000
χ598-88-888-8-8000000000000000000000000000000000000000000000000000

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