Finite Group Databasebeta

← Group #301970

Character table — Group #301970

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222224444444488888888888888888888816161616161616161616161616163232
order12222222448888244488882444444444448888888882224444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1
χ51111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-11111111-1-11-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111-111-1-111-111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11-1-111-1-11-1-1-1-111
χ91111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-1-11-11-1-11-1-1-11-1
χ101111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-111-11-111-11-1-1-11
χ111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11111-1-1-1-111-1-1-1-11-111-11-1-11-1
χ121111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-1-11111-11-1-11-1-1-1-11
χ131111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-11-1-11-1-1111-11
χ141111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1111-1
χ151111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-111-11
χ161111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11111-1
χ17222222-2-2222222-22-2-222-2-2000000000000-20000000000200-2200-2000000
χ18222222-2-2222222-22-2-222-2-2000000000000-20000000000-2002-2002000000
χ19222222-2-222-2-2-2-2-22-2-2-2-22200000000000020000000000200-2-2002000000
χ20222222-2-222-2-2-2-2-22-2-2-2-22200000000000020000000000-2002200-2000000
χ21222222-2-2-2-20000-2-222000022-2-222-2-200000000022-2-20000000000000000
χ22222222-2-2-2-20000-2-222000022-2-2-2-222000000000-2-2220000000000000000
χ23222222-2-2-2-20000-2-2220000-2-22222-2-2000000000-2-2220000000000000000
χ24222222-2-2-2-20000-2-2220000-2-222-2-22200000000022-2-20000000000000000
χ252222-2-222222222-2-22-2-2-222000000000000-20000000000000002-20-220000
χ262222-2-222222222-2-22-2-2-222000000000000-2000000000000000-2202-20000
χ272222-2-22222-2-2-2-2-2-22-222-2-20000000000002000000000000000220-2-20000
χ282222-2-22222-2-2-2-2-2-22-222-2-20000000000002000000000000000-2-20220000
χ292222-2-222-2-20000-22-2200002-22-2000022-2-2022-2-200000000000000000000
χ302222-2-222-2-20000-22-2200002-22-20000-2-2220-2-22200000000000000000000
χ312222-2-222-2-20000-22-220000-22-22000022-2-20-2-22200000000000000000000
χ322222-2-222-2-20000-22-220000-22-220000-2-222022-2-200000000000000000000
χ332222-2-2-2-22222222-2-22-2-2-2-22-2-2200000000200000000000000000000-2200
χ342222-2-2-2-22222222-2-22-2-2-2-2-222-2000000002000000000000000000002-200
χ352222-2-2-2-222-2-2-2-22-2-2222222-2-2200000000-2000000000000000000002-200
χ362222-2-2-2-222-2-2-2-22-2-222222-222-200000000-200000000000000000000-2200
χ3744444444-4-400004-4-4-400000000000000000000000000000000000000000
χ384444-4-4-4-4-4-40000444-400000000000000000000000000000000000000000
χ3944-4-4004-4002i22i2−2i2−2i20000002i2−2i200002-22-200000002i2−2i200000000000000000000
χ4044-4-4004-4002i22i2−2i2−2i20000002i2−2i20000-22-220000000−2i22i200000000000000000000
χ4144-4-4004-400−2i2−2i22i22i2000000−2i22i200002-22-20000000−2i22i200000000000000000000
χ4244-4-4004-400−2i2−2i22i22i2000000−2i22i20000-22-2200000002i2−2i200000000000000000000
χ4344-4-400-44002i22i2−2i2−2i2000000−2i22i200002-2-22000002i2−2i20000000000000000000000
χ4444-4-400-44002i22i2−2i2−2i2000000−2i22i20000-222-200000−2i22i20000000000000000000000
χ4544-4-400-4400−2i2−2i22i22i20000002i2−2i200002-2-2200000−2i22i20000000000000000000000
χ4644-4-400-4400−2i2−2i22i22i20000002i2−2i20000-222-2000002i2−2i20000000000000000000000
χ474-44-44-4000022−2222−22000022−2200000000002i−2i2i−2i00000002i2−2i20000000000000000
χ484-44-44-4000022−2222−22000022−220000000000−2i2i−2i2i0000000−2i22i20000000000000000
χ494-44-44-40000−2222−22220000−222200000000002i−2i2i−2i0000000−2i22i20000000000000000
χ504-44-44-40000−2222−22220000−22220000000000−2i2i−2i2i00000002i2−2i20000000000000000
χ514-44-4-44000022−2222−220000−222200000000002i−2i−2i2i000002i2−2i2000000000000000000
χ524-44-4-44000022−2222−220000−22220000000000−2i2i2i−2i00000−2i22i2000000000000000000
χ534-44-4-440000−2222−2222000022−2200000000002i−2i−2i2i00000−2i22i2000000000000000000
χ544-44-4-440000−2222−2222000022−220000000000−2i2i2i−2i000002i2−2i2000000000000000000
χ554-4-4400004-44i−4i−4i4i000000000000000000000000000002-202i−2i00000000000
χ564-4-4400004-44i−4i−4i4i00000000000000000000000000000-220−2i2i00000000000
χ574-4-4400004-4−4i4i4i−4i000000000000000000000000000002-20−2i2i00000000000
χ584-4-4400004-4−4i4i4i−4i00000000000000000000000000000-2202i−2i00000000000
χ598-8-880000-880000000000000000000000000000000000000000000000000

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