Finite Group Databasebeta

← Group #263126

Character table — Group #263126

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444888888888888816161616161616161616161616161616161616161616
order12222244444444488888824444444888882222444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-11111-111-11111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ5111111111111111111111-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-1111-1-111-1-1-1-11111
χ9111111111111111-1-1-1-1-1-111111111-1-1-1-1-11-111-11-1-1-1-1-1-11111-1-111-1-1
χ10111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11-111-1-111-1-111-1-111
χ11111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-11111-11-1-1-1-1-1-1-1-111-1-111
χ12111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-11-1-11-11111-1-1-1-111-1-111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-111-111111-1-1-1-11111-1-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-111-1-1-1-111
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-111111111-1-1-1-111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-11-1-1-11111-1-11111-1-1
χ172222222-2222-2-2-2-222-2-2-2-22-22-20000200000000000000-220000000000
χ182222222-2222-2-2-2-222-2-2-2-2-22-2200002000000000000002-20000000000
χ192222222-2222-2-2-2-2-2-222222-22-20000-2000000000000002-20000000000
χ202222222-2222-2-2-2-2-2-22222-22-220000-200000000000000-220000000000
χ212222-2-2222-2-22-2-220000002-2-220000022-2-20000200-200000000000000
χ222222-2-2222-2-22-2-220000002-2-2200000-2-2220000-200200000000000000
χ232222-2-2222-2-22-2-22000000-222-20000022-2-20000-200200000000000000
χ242222-2-2222-2-22-2-22000000-222-200000-2-2220000200-200000000000000
χ252222-2-22-22-2-2-222-200000022-2-22i2i−2i−2i000000000000000002i−2i00000000
χ262222-2-22-22-2-2-222-200000022-2-2−2i−2i2i2i00000000000000000−2i2i00000000
χ272222-2-22-22-2-2-222-2000000-2-2222i2i−2i−2i00000000000000000−2i2i00000000
χ282222-2-22-22-2-2-222-2000000-2-222−2i−2i2i2i000000000000000002i−2i00000000
χ292222-2-2-22-22222-2-22222-2-200000000-2000022000-2-2000000000000000
χ302222-2-2-22-22222-2-22222-2-200000000-20000-2-200022000000000000000
χ312222-2-2-22-22222-2-2-2-2-2-22200000000200002-2000-22000000000000000
χ322222-2-2-22-22222-2-2-2-2-2-2220000000020000-220002-2000000000000000
χ332222-2-2-2-2-222-2-22222-2-22200000000-20000002-200002-2000000000000
χ342222-2-2-2-2-222-2-22222-2-22200000000-2000000-220000-22000000000000
χ352222-2-2-2-2-222-2-222-2-222-2-20000000020000002-20000-22000000000000
χ362222-2-2-2-2-222-2-222-2-222-2-2000000002000000-2200002-2000000000000
χ37444444-44-4-4-44-44-400000000000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000000000
χ394-44-44-440-4-4400000000000000000000000000000000000000000002i2−2i2
χ404-44-44-440-4-440000000000000000000000000000000000000000000−2i22i2
χ414-44-44-4-4044-400000000000000000000000000000000000002i2−2i2000000
χ424-44-44-4-4044-40000000000000000000000000000000000000−2i22i2000000
χ434-44-4-4440-44-40000000000000000000000000000000000000002i2−2i20000
χ444-44-4-4440-44-4000000000000000000000000000000000000000−2i22i20000
χ454-44-4-44-404-440000000000000000000000000000000000000000022−2200
χ464-44-4-44-404-4400000000000000000000000000000000000000000−222200
χ474-4-440004000-400022−2222−220000002i−2i2i−2i02i2−2i2000000000000000000000000
χ484-4-440004000-400022−2222−22000000−2i2i−2i2i0−2i22i2000000000000000000000000
χ494-4-440004000-4000−2222−22220000002i−2i2i−2i0−2i22i2000000000000000000000000
χ504-4-440004000-4000−2222−2222000000−2i2i−2i2i02i2−2i2000000000000000000000000
χ514-4-44000-4000400022−22−22220000002-2-2200022−220000000000000000000000
χ524-4-44000-4000400022−22−2222000000-222-2000−22220000000000000000000000
χ534-4-44000-40004000−222222−220000002-2-22000−22220000000000000000000000
χ544-4-44000-40004000−222222−22000000-222-200022−220000000000000000000000
χ5588-8-80000000000000004i2−4i200000000000000000000000000000000000
χ5688-8-8000000000000000−4i24i200000000000000000000000000000000000

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