Finite Group Databasebeta

← Group #318985

Character table — Group #318985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444448888444444888888888844444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ9111111111111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-1
χ10111111111111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-111
χ172222222222-2-22-2-22-2-222-2-200002-222-2-200000000002-2000000000000000000
χ182222222222-2-22-2-22-2-222-2-200002-2-2-2220000000000-22000000000000000000
χ192222222222-2-22-2-22-2-2-2-2220000-2222-2-20000000000-22000000000000000000
χ202222222222-2-22-2-22-2-2-2-2220000-22-2-22200000000002-2000000000000000000
χ2122222222-2-222-222-2-2-222-2-22222-220000-2-222-2-2000000000000000000000000
χ2222222222-2-222-222-2-2-222-2-2-2-2-2-2-22000022-2-222000000000000000000000000
χ2322222222-2-222-222-2-2-2-2-22222222-20000-2-2-2-222000000000000000000000000
χ2422222222-2-222-222-2-2-2-2-222-2-2-2-22-200002222-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222220000-2-200000000002i2i−2i−2i0000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222220000-2-20000000000−2i−2i2i2i000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-222-2-2-2-200002200000000002i2i−2i−2i000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-20000220000000000−2i−2i2i2i0000000000002i−2i000000
χ292222-2-2-2-22222-2-2-2-22-2000022-2-20000002-20000000000002-2002-20000000000
χ302222-2-2-2-22222-2-2-2-22-2000022-2-20000002-2000000000000-2200-220000000000
χ312222-2-2-2-22222-2-2-2-22-20000-2-222000000-220000000000002-200-220000000000
χ322222-2-2-2-22222-2-2-2-22-20000-2-222000000-22000000000000-22002-20000000000
χ332222-2-2-2-2-2-2222-2-22-22000022-2-2000000-2200000000002i−2i002i−2i000000000000
χ342222-2-2-2-2-2-2222-2-22-22000022-2-2000000-220000000000−2i2i00−2i2i000000000000
χ352222-2-2-2-2-2-2222-2-22-220000-2-2220000002-200000000002i−2i00−2i2i000000000000
χ362222-2-2-2-2-2-2222-2-22-220000-2-2220000002-20000000000−2i2i002i−2i000000000000
χ374444-4-4-4-444-4-4-444-4-4400000000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4-444444-400000000000000000000000000000000000000000000
χ3944-4-444-4-44-400400-4000000000000000000000022−2222−2200000000000000000000
χ4044-4-444-4-44-400400-40000000000000000000000−2222−222200000000000000000000
χ4144-4-444-4-4-4400-400400000000000000000000002i2−2i2−2i22i200000000000000000000
χ4244-4-444-4-4-4400-40040000000000000000000000−2i22i22i2−2i200000000000000000000
χ4344-4-4-4-4444-400-40040000000000004i−4i00000000000000000000000000000000
χ4444-4-4-4-4444-400-4004000000000000−4i4i00000000000000000000000000000000
χ4544-4-4-4-444-4400400-4000000000000004-4000000000000000000000000000000
χ4644-4-4-4-444-4400400-400000000000000-44000000000000000000000000000000
χ474-44-44-44-40000000000004-42i2−2i22i2−2i200000000002i2−2i2000000000000000000000000
χ484-44-44-44-40000000000004-4−2i22i2−2i22i20000000000−2i22i2000000000000000000000000
χ494-44-44-44-4000000000000-442i2−2i22i2−2i20000000000−2i22i2000000000000000000000000
χ504-44-44-44-4000000000000-44−2i22i2−2i22i200000000002i2−2i2000000000000000000000000
χ514-44-4-44-4400000000004i−4i002i2−2i2−2i22i20000000022−2200000000000000000000000000
χ524-44-4-44-4400000000004i−4i00−2i22i22i2−2i200000000−222200000000000000000000000000
χ534-44-4-44-440000000000−4i4i002i2−2i2−2i22i200000000−222200000000000000000000000000
χ544-44-4-44-440000000000−4i4i00−2i22i22i2−2i20000000022−2200000000000000000000000000
χ554-4-444-4-44004-404-400000000000000000000000000000000000002i2−2i200000000
χ564-4-444-4-44004-404-40000000000000000000000000000000000000−2i22i200000000
χ574-4-444-4-4400-440-44000000000000000000000000000000000000000002i2−2i20000
χ584-4-444-4-4400-440-4400000000000000000000000000000000000000000−2i22i20000
χ594-4-44-444-4004-40-4400000000000000000000000000000000000000000002i2−2i200
χ604-4-44-444-4004-40-440000000000000000000000000000000000000000000−2i22i200
χ614-4-44-444-400-4404-40000000000000000000000000000000000000000000002i2−2i2
χ624-4-44-444-400-4404-4000000000000000000000000000000000000000000000−2i22i2

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