Finite Group Databasebeta

← Group #299722

Character table — Group #299722

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222224444444488888888888888888888816161616161616161616161616163232
order12224444448888244488882244888888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ91111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-11-1
χ101111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-111-11
χ111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1-1-111-11
χ121111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-11-11-11-11-1-111-1-11-1
χ131111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-11-1-11-111111-1-1-11
χ141111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-11-111-11-111-1-1111-1
χ151111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-11-11-1-11-1111-1-1111-1
χ161111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-11-111-11-11111-1-1-11
χ172222222-2-222222-2-22-222-2-2000000000000-20000000022-2-2000000000000
χ182222222-2-222222-2-22-222-2-2000000000000-200000000-2-222000000000000
χ192222222-2-22-2-2-2-2-2-22-2-2-2220000000000002000000002-2-22000000000000
χ202222222-2-22-2-2-2-2-2-22-2-2-222000000000000200000000-222-2000000000000
χ21222222-222-20000-2-2-22000022-2-222-2-222-2-20000000000000000000000000
χ22222222-222-20000-2-2-22000022-2-2-2-222-2-2220000000000000000000000000
χ23222222-222-20000-2-2-220000-2-22222-2-2-2-2220000000000000000000000000
χ24222222-222-20000-2-2-220000-2-222-2-22222-2-20000000000000000000000000
χ252222-2-222222222-22-2-2-2-222000000000000-200000000000022-2-200000000
χ262222-2-222222222-22-2-2-2-222000000000000-2000000000000-2-22200000000
χ272222-2-22222-2-2-2-2-22-2-222-2-200000000000020000000000002-2-2200000000
χ282222-2-22222-2-2-2-2-22-2-222-2-20000000000002000000000000-222-200000000
χ292222-2-22-2-2222222-2-22-2-2-2-22-22-200000000200000000000000002-2000000
χ302222-2-22-2-2222222-2-22-2-2-2-2-22-220000000020000000000000000-22000000
χ312222-2-22-2-22-2-2-2-22-2-2222222-22-200000000-20000000000000000-22000000
χ322222-2-22-2-22-2-2-2-22-2-222222-22-2200000000-200000000000000002-2000000
χ332222-2-2-2-2-2-20000-222200002-2-2200000000022-2-222-2-20000000000000000
χ342222-2-2-2-2-2-20000-222200002-2-22000000000-2-222-2-2220000000000000000
χ352222-2-2-2-2-2-20000-22220000-222-200000000022-2-2-2-2220000000000000000
χ362222-2-2-2-2-2-20000-22220000-222-2000000000-2-22222-2-20000000000000000
χ37444444-4-4-4-4000044-4-400000000000000000000000000000000000000000
χ384444-4-4-444-400004-44-400000000000000000000000000000000000000000
χ3944-4-44-400002222−22−22000022−220000000022−22000002-22-200000000000000000000
χ4044-4-44-400002222−22−22000022−2200000000−222200000-22-2200000000000000000000
χ4144-4-44-40000−22−2222220000−22220000000022−2200000-22-2200000000000000000000
χ4244-4-44-40000−22−2222220000−222200000000−2222000002-22-200000000000000000000
χ4344-4-4-4400002222−22−220000−222200000022−2200000002-2-2200000000000000000000
χ4444-4-4-4400002222−22−220000−2222000000−22220000000-222-200000000000000000000
χ4544-4-4-440000−22−222222000022−2200000022−220000000-222-200000000000000000000
χ4644-4-4-440000−22−222222000022−22000000−222200000002-2-2200000000000000000000
χ474-44-400-40044-44-40000000000000000000000000000000000000002i−2i2i−2i00
χ484-44-400-40044-44-4000000000000000000000000000000000000000−2i2i−2i2i00
χ494-44-400-4004-44-440000000000000000000000000000000000000002i−2i−2i2i00
χ504-44-400-4004-44-44000000000000000000000000000000000000000−2i2i2i−2i00
χ514-4-440004-4022−22−222200000022−2200000000002i2−2i2000002i−2i2i−2i0000000000000000
χ524-4-440004-4022−22−222200000022−220000000000−2i22i200000−2i2i−2i2i0000000000000000
χ534-4-440004-40−222222−22000000−222200000000002i2−2i200000−2i2i−2i2i0000000000000000
χ544-4-440004-40−222222−22000000−22220000000000−2i22i2000002i−2i2i−2i0000000000000000
χ554-4-44000-44022−22−2222000000−2222000000002i2−2i200000002i−2i−2i2i0000000000000000
χ564-4-44000-44022−22−2222000000−222200000000−2i22i20000000−2i2i2i−2i0000000000000000
χ574-4-44000-440−222222−2200000022−22000000002i2−2i20000000−2i2i2i−2i0000000000000000
χ584-4-44000-440−222222−2200000022−2200000000−2i22i200000002i−2i−2i2i0000000000000000
χ598-88-800800-80000000000000000000000000000000000000000000000000

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