Finite Group Databasebeta

← Group #300127

Character table — Group #300127

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222224444444444888888888888888816161616161616161616161632323232
order12222244444444444444888824444488888888882444444488882288
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-11-11-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-11-11
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1111-1-1-1-1-111-11-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-1111-11-1
χ9111111111111111-1-1-1-111111-1-1111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-111
χ10111111111111111-1-1-1-111111-1-1111111-1-1-1-11111-1-1-111-111-1-1-1-111-1-1
χ11111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1
χ12111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-111
χ13111111111111111-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-11-11-1-1-111-1-111-111-1
χ14111111111111111-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-11-1111-1-1-1-1111-1-11
χ15111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-11-1-11
χ16111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-111-1-1-111-1
χ172222222-2-222-2-22-22222-20000-2-222-2-20000000000000000002-2000000
χ182222222-2-222-2-22-22222-20000-2-2-2-222000000000000000000-22000000
χ192222222-2-222-2-22-2-2-2-2-2-200002222-2-2000000000000000000-22000000
χ202222222-2-222-2-22-2-2-2-2-2-2000022-2-2220000000000000000002-2000000
χ21222222-2-2-2-2-222-2-20000222-2-20000002-2000000000002-202-200000000
χ22222222-2-2-2-2-222-2-20000222-2-20000002-200000000000-220-2200000000
χ23222222-2-2-2-2-222-2-200002-2-222000000-22000000000002-20-2200000000
χ24222222-2-2-2-2-222-2-200002-2-222000000-2200000000000-2202-200000000
χ252222-2-2222-2-2-2-22-222-2-2200002-2000000000022-2-200000000002-20000
χ262222-2-2222-2-2-2-22-222-2-2200002-20000000000-2-2220000000000-220000
χ272222-2-2222-2-2-2-22-2-2-22220000-22000000000022-2-20000000000-220000
χ282222-2-2222-2-2-2-22-2-2-22220000-220000000000-2-22200000000002-20000
χ292222-2-22-2-2-2-2222222-2-2-222-2-2-220000-2222-2-200000000000000000000
χ302222-2-22-2-2-2-2222222-2-2-2-2-222-2200002-2-2-22200000000000000000000
χ312222-2-22-2-2-2-22222-2-222-222-2-22-20000-22-2-22200000000000000000000
χ322222-2-22-2-2-2-22222-2-222-2-2-2222-200002-222-2-200000000000000000000
χ332222-2-2-2222222-2-20000-22222000000-2-20000000022-200-20000000000
χ342222-2-2-2222222-2-20000-22222000000-2-200000000-2-220020000000000
χ352222-2-2-2222222-2-20000-2-2-2-2-200000022000000002-2-20020000000000
χ362222-2-2-2222222-2-20000-2-2-2-2-20000002200000000-22200-20000000000
χ37444444-444-4-4-4-4-440000-4000000000000000000000000000000000000
χ384444-4-4-4-4-444-4-4-4400004000000000000000000000000000000000000
χ3944-4-40004-40000000000022−2222−22002i−2i2i−2i000000002i2−2i20000000000000000
χ4044-4-40004-40000000000022−2222−2200−2i2i−2i2i00000000−2i22i20000000000000000
χ4144-4-40004-400000000000−2222−2222002i−2i2i−2i00000000−2i22i20000000000000000
χ4244-4-40004-400000000000−2222−222200−2i2i−2i2i000000002i2−2i20000000000000000
χ4344-4-4000-440000000000022−22−2222002i−2i−2i2i0000002i2−2i2000000000000000000
χ4444-4-4000-440000000000022−22−222200−2i2i2i−2i000000−2i22i2000000000000000000
χ4544-4-4000-4400000000000−222222−22002i−2i−2i2i000000−2i22i2000000000000000000
χ4644-4-4000-4400000000000−222222−2200−2i2i2i−2i0000002i2−2i2000000000000000000
χ474-44-44-44004-400-404i−4i4i−4i0000000000000000000000000000000000000
χ484-44-44-44004-400-40−4i4i−4i4i0000000000000000000000000000000000000
χ494-44-44-4-400-4400400000000000000000022−2222−2200000000000000000000
χ504-44-44-4-400-44004000000000000000000−2222−222200000000000000000000
χ514-44-4-44400-4400-404i−4i−4i4i0000000000000000000000000000000000000
χ524-44-4-44400-4400-40−4i4i4i−4i0000000000000000000000000000000000000
χ534-44-4-44-4004-400400000000000000000022−22−222200000000000000000000
χ544-44-4-44-4004-4004000000000000000000−222222−2200000000000000000000
χ558-8-8800000008-80000000000000000000000000000000000000000000
χ568-8-880000000-880000000000000000000000000000000000000000000

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