Finite Group Databasebeta

← Group #338334

Character table — Group #338334

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-1-11111-1-111-1-1-1
χ51111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-11111-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-111
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-11111-1-1-1-1-1111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-11-11
χ13111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-11-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-111-111111-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1111-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-111-11-1-11111-11-1
χ17222222222-22-22-22-2-2-200000022-2-22200220000-2-200000-20000000000000
χ18222222222-22-22-22-2-2-200000022-2-2-2-200-2-20000220000020000000000000
χ19222222222-22-22-22-2-2-2000000-2-2222200-2-200002200000-20000000000000
χ20222222222-22-22-22-2-2-2000000-2-222-2-200220000-2-20000020000000000000
χ2122222222-22-22-22-22-2-2222222000000-2-2000000000000-2000-22000000000
χ2222222222-22-22-22-22-2-22222-2-2000000-2-200000000000020002-2000000000
χ2322222222-22-22-22-22-2-2-2-2-2-222000000220000000000002000-2-2000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2-2-200000022000000000000-200022000000000
χ2522-22-2-22-220-20-202000i2i2−i2−i200002-22-2i2−i200i2i2−i2−i22-2i2i2−i2−i200000000i2−i200000
χ2622-22-2-22-220-20-202000i2i2−i2−i200002-2-22i2−i200i2i2−i2−i2-22−i2−i2i2i200000000−i2i200000
χ2722-22-2-22-220-20-202000i2i2−i2−i20000-222-2i2−i200−i2−i2i2i2-22−i2−i2i2i200000000i2−i200000
χ2822-22-2-22-220-20-202000i2i2−i2−i20000-22-22i2−i200−i2−i2i2i22-2i2i2−i2−i200000000−i2i200000
χ2922-22-2-22-220-20-202000−i2−i2i2i200002-22-2−i2i200−i2−i2i2i22-2−i2−i2i2i200000000−i2i200000
χ3022-22-2-22-220-20-202000−i2−i2i2i200002-2-22−i2i200−i2−i2i2i2-22i2i2−i2−i200000000i2−i200000
χ3122-22-2-22-220-20-202000−i2−i2i2i20000-222-2−i2i200i2i2−i2−i2-22i2i2−i2−i200000000−i2i200000
χ3222-22-2-22-220-20-202000−i2−i2i2i20000-22-22−i2i200i2i2−i2−i22-2−i2−i2i2i200000000i2−i200000
χ332-22-2-2-22222-2-222-2-22-200000000000000002-22-2000000002i−2i0000002i−2i000
χ342-22-2-2-22222-2-222-2-22-200000000000000002-22-200000000−2i2i000000−2i2i000
χ352-22-2-2-22222-2-222-2-22-20000000000000000-22-22000000002i−2i000000−2i2i000
χ362-22-2-2-22222-2-222-2-22-20000000000000000-22-2200000000−2i2i0000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-4-44-4-404040-40002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ3944-44-4-44-4-404040-4000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ4044-4-44-4-44040-40-4040000004i−4i00000000000000000000000000000000000
χ4144-4-44-4-44040-40-404000000−4i4i00000000000000000000000000000000000
χ4244-4-44-4-440-404040-400000000000000000000000000000000002i2−2i20000000
χ4344-4-44-4-440-404040-40000000000000000000000000000000000−2i22i20000000
χ444-4444-4-4-400000000002i2−2i22i2−2i200000000002i2−2i20000002-22-2000000000000000
χ454-4444-4-4-400000000002i2−2i22i2−2i20000000000−2i22i2000000-22-22000000000000000
χ464-4444-4-4-40000000000−2i22i2−2i22i200000000002i2−2i2000000-22-22000000000000000
χ474-4444-4-4-40000000000−2i22i2−2i22i20000000000−2i22i20000002-22-2000000000000000
χ484-44-4-4-4444-4-444-4-44-4400000000000000000000000000000000000000000
χ494-44-4-4-444-444-4-444-4-4400000000000000000000000000000000000000000
χ504-44-4-4-444-4-444-4-4444-400000000000000000000000000000000000000000
χ514-4-44-44-4404040-40-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ524-4-44-44-4404040-40-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ534-4-44-44-440-40-40404004-4-440000000000000000000000000000000000000
χ544-4-44-44-440-40-4040400-444-40000000000000000000000000000000000000
χ554-4-4-4444-44040-40-400000000000000000002i2−2i2−2i22i2000000000000000000000
χ564-4-4-4444-44040-40-40000000000000000000−2i22i22i2−2i2000000000000000000000
χ574-4-4-4444-4-40-404040000000004-4000000000000000000000000000000000
χ584-4-4-4444-4-40-40404000000000-44000000000000000000000000000000000
χ59888-8-88-8-8000000000000000000000000000000000000000000000000000

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