Finite Group Databasebeta

← Group #281465

Character table — Group #281465

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-1-1-11-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-111111-1-1-1-11-1-11111-1-1
χ51111111111111111111111-1-1111111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-11111-1-1-11111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-1-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-111-11
χ11111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1111-1-1111-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-111111-1-1-11
χ13111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-111-111-1-1111-1
χ172222222222-2-22-2-22-2-2222222000000-2-2000000-2-20000000020000-200000000
χ182222222222-2-22-2-22-2-22222-2-200000022000000-2-200000000-20000200000000
χ192222222222-2-22-2-22-2-2-2-2-2-222000000220000002200000000-20000-200000000
χ202222222222-2-22-2-22-2-2-2-2-2-2-2-2000000-2-2000000220000000020000200000000
χ2122222222-2-222-222-2-2-20000002222-2-200-2-222-2-2000000000000000000000000
χ2222222222-2-222-222-2-2-200000022-2-2-2-20022-2-222000000000000000000000000
χ2322222222-2-222-222-2-2-2000000-2-2222200-2-2-2-222000000000000000000000000
χ2422222222-2-222-222-2-2-2000000-2-2-2-222002222-2-2000000000000000000000000
χ2522-22-2-22-22-2-2-2222-2-220000002i−2i002i−2i00000000002i2i−2i−2i22-2-200000000000000
χ2622-22-2-22-22-2-2-2222-2-220000002i−2i002i−2i0000000000−2i−2i2i2i-2-22200000000000000
χ2722-22-2-22-22-2-2-2222-2-22000000−2i2i00−2i2i00000000002i2i−2i−2i-2-22200000000000000
χ2822-22-2-22-22-2-2-2222-2-22000000−2i2i00−2i2i0000000000−2i−2i2i2i22-2-200000000000000
χ2922-22-2-22-2-2222-2-2-22-2222-2-200000000000000002-20000000002i−2i2i−2i000000000
χ3022-22-2-22-2-2222-2-2-22-2222-2-200000000000000002-2000000000−2i2i−2i2i000000000
χ3122-22-2-22-2-2222-2-2-22-22-2-2220000000000000000-220000000002i−2i−2i2i000000000
χ3222-22-2-22-2-2222-2-2-22-22-2-2220000000000000000-22000000000−2i2i2i−2i000000000
χ3322-22-2-22-2-22-2-2-22222-222-2-2002i−2i00−2i2i00000000-22000000000000002i−2i000000
χ3422-22-2-22-2-22-2-2-22222-222-2-200−2i2i002i−2i00000000-2200000000000000−2i2i000000
χ3522-22-2-22-2-22-2-2-22222-2-2-222002i−2i00−2i2i000000002-200000000000000−2i2i000000
χ3622-22-2-22-2-22-2-2-22222-2-2-22200−2i2i002i−2i000000002-2000000000000002i−2i000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ38444-4-44-4-44400-400-40000004-400000000000000000000000000000000000000
χ39444-4-44-4-44400-400-4000000-4400000000000000000000000000000000000000
χ40444-4-44-4-4-4-400400400000000000000000000000000000000000000002i2−2i20000
χ41444-4-44-4-4-4-40040040000000000000000000000000000000000000000−2i22i20000
χ4244-44-4-44-44-4444-4-4-44-400000000000000000000000000000000000000000000
χ4344-4-44-4-444-400-40040000000000000000000000000000000000000000002i2−2i200
χ4444-4-44-4-444-400-4004000000000000000000000000000000000000000000−2i22i200
χ4544-4-44-4-44-4400400-4000000000000004i−4i000000000000000000000000000000
χ4644-4-44-4-44-4400400-400000000000000−4i4i000000000000000000000000000000
χ474-444-4-4-44000000000022−2222−22000000000000002i2−2i20000002i−2i2i−2i00000000000000
χ484-444-4-4-44000000000022−2222−2200000000000000−2i22i2000000−2i2i−2i2i00000000000000
χ494-444-4-4-440000000000−2222−2222000000000000002i2−2i2000000−2i2i−2i2i00000000000000
χ504-444-4-4-440000000000−2222−222200000000000000−2i22i20000002i−2i2i−2i00000000000000
χ514-44-44-44-4004-404-400000000000000000000000002i2−2i22i2−2i2000000000000000000
χ524-44-44-44-4004-404-40000000000000000000000000−2i22i2−2i22i2000000000000000000
χ534-44-44-44-400-440-44000000000004i−4i0000000000000000000000000000000000
χ544-44-44-44-400-440-4400000000000−4i4i0000000000000000000000000000000000
χ554-4-4444-4-4000000000022−22−22220000000000002i2−2i2000000002i−2i−2i2i00000000000000
χ564-4-4444-4-4000000000022−22−2222000000000000−2i22i200000000−2i2i2i−2i00000000000000
χ574-4-4444-4-40000000000−222222−220000000000002i2−2i200000000−2i2i2i−2i00000000000000
χ584-4-4444-4-40000000000−222222−22000000000000−2i22i2000000002i−2i−2i2i00000000000000
χ594-4-4-4-4444004-40-44000000000000000004-40000000000000000000000000000
χ604-4-4-4-4444004-40-4400000000000000000-440000000000000000000000000000
χ614-4-4-4-444400-4404-4000000000000000000000000022−22−2222000000000000000000
χ624-4-4-4-444400-4404-40000000000000000000000000−222222−22000000000000000000

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