Finite Group Databasebeta

← Group #263136

Character table — Group #263136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444888888888888816161616161616161616161616161616161616161616
order12222244444444488888824444444888882244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-11-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ5111111111111111111111-1-1-1-1111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-1-1-1-1-1111111
χ9111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-111-1-1-111-1-1-11111-1-1
χ10111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-111-111-1-111
χ11111111111111111-1-1-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-111-1-1-1-1-111
χ12111111111111111-1-1-1-1-1-11111-1-1-1-11111-11-11-111-1-111-111-1-1-1-1-111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1111-1-1111-1-111-1-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11111-1-1111-1-11-1-1-1-111
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-111111-1-1111-1-111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11-1-11111111-1-1
χ17222222222-2-22-2-2-22222-2-222-2-200000000-20000000000-200002000000
χ18222222222-2-22-2-2-22222-2-2-2-22200000000-2000000000020000-2000000
χ19222222222-2-22-2-2-2-2-2-2-22222-2-2000000002000000000020000-2000000
χ20222222222-2-22-2-2-2-2-2-2-222-2-2220000000020000000000-200002000000
χ212222-2-222-222-2-2-220000002-22-2000022-2-2020-20000000000000000000
χ222222-2-222-222-2-2-220000002-22-20000-2-2220-2020000000000000000000
χ232222-2-222-222-2-2-22000000-22-22000022-2-20-2020000000000000000000
χ242222-2-222-222-2-2-22000000-22-220000-2-222020-20000000000000000000
χ252222-2-222-2-2-2-222-20000002-2-222i2i−2i−2i0000000000000000000002i−2i0000
χ262222-2-222-2-2-2-222-20000002-2-22−2i−2i2i2i000000000000000000000−2i2i0000
χ272222-2-222-2-2-2-222-2000000-222-22i2i−2i−2i000000000000000000000−2i2i0000
χ282222-2-222-2-2-2-222-2000000-222-2−2i−2i2i2i0000000000000000000002i−2i0000
χ292222-2-2-2-222222-2-222-2-222000000000000-2020-22-20000000000000000
χ302222-2-2-2-222222-2-222-2-222000000000000-20-202-220000000000000000
χ312222-2-2-2-222222-2-2-2-222-2-20000000000002020-2-220000000000000000
χ322222-2-2-2-222222-2-2-2-222-2-200000000000020-2022-20000000000000000
χ332222-2-2-2-22-2-22-22222-2-2-2-200000000000020000002-22-2000000000000
χ342222-2-2-2-22-2-22-22222-2-2-2-20000000000002000000-22-22000000000000
χ352222-2-2-2-22-2-22-222-2-22222000000000000-20000002-2-22000000000000
χ362222-2-2-2-22-2-22-222-2-22222000000000000-2000000-222-2000000000000
χ37444444-4-4-444-4-44-400000000000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000000000
χ3944-4-44-44-4400-40000000000000000000000000000000000022−220000000
χ4044-4-44-44-4400-400000000000000000000000000000000000−22220000000
χ4144-4-44-4-44-400400000000000000000000000000000000000000002i2−2i200
χ4244-4-44-4-44-40040000000000000000000000000000000000000000−2i22i200
χ4344-4-4-444-4-40040000000000000000000000000000000000000000002i2−2i2
χ4444-4-4-444-4-4004000000000000000000000000000000000000000000−2i22i2
χ4544-4-4-44-44400-40000000000000000000000000000000002i2−2i2000000000
χ4644-4-4-44-44400-4000000000000000000000000000000000−2i22i2000000000
χ474-44-4000004-400002i2−2i2002i2−2i200002-22-2002i2−2i200000000000000000000000
χ484-44-4000004-400002i2−2i2002i2−2i20000-22-2200−2i22i200000000000000000000000
χ494-44-4000004-40000−2i22i200−2i22i200002-22-200−2i22i200000000000000000000000
χ504-44-4000004-40000−2i22i200−2i22i20000-22-22002i2−2i200000000000000000000000
χ514-44-400000-4400002i2−2i200−2i22i200002i−2i−2i2i22−220000000000000000000000000
χ524-44-400000-4400002i2−2i200−2i22i20000−2i2i2i−2i−22220000000000000000000000000
χ534-44-400000-440000−2i22i2002i2−2i200002i−2i−2i2i−22220000000000000000000000000
χ544-44-400000-440000−2i22i2002i2−2i20000−2i2i2i−2i22−220000000000000000000000000
χ558-8-8800000000000004i2−4i20000000000000000000000000000000000000
χ568-8-880000000000000−4i24i20000000000000000000000000000000000000

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