Finite Group Databasebeta

← Group #265241

Character table — Group #265241

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222224444444444888888888888888816161616161616161616161632323232
order12222222224444224444888822444488888888884444444444884444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1
χ911111111111111-1-1-1-111111111-1-111-1-111-1-111111-11-11-11-1-1-1-1-11-11-1
χ1011111111111111-1-1-1-111111111-1-111-1-111-1-11111-11-11-11-11-1-1-1-1-11-11
χ1111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-11-11-11111-11-11
χ1211111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-11-1111111-11-1
χ1311111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-11-1-111-1-11-1-1111-1-11
χ1411111111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-111-1-1-111-111-1
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1111-1-1-111-1
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-111-111-1-11-1-11
χ172222222222-2-2-2-22222-2-2000022-2-2-2-20000000000000000002-2000000
χ182222222222-2-2-2-22222-2-20000-2-2-2-222000000000000000000-22000000
χ192222222222-2-2-2-2-2-2-2-2-2-200002222-2-2000000000000000000-22000000
χ202222222222-2-2-2-2-2-2-2-2-2-20000-2-222220000000000000000002-2000000
χ21222222-2-2-2-2222222-2-2-2-2222200-2200-2-2-2-22200000000000000000000
χ22222222-2-2-2-2222222-2-2-2-2-2-2-2-200-22002222-2-200000000000000000000
χ23222222-2-2-2-22222-2-222-2-22222002-20022-2-2-2-200000000000000000000
χ24222222-2-2-2-22222-2-222-2-2-2-2-2-2002-200-2-2222200000000000000000000
χ25222222-2-2-2-2-2-2-2-222-2-2220000002-2000000002i2i−2i−2i00000000002i−2i0000
χ26222222-2-2-2-2-2-2-2-222-2-2220000002-200000000−2i−2i2i2i0000000000−2i2i0000
χ27222222-2-2-2-2-2-2-2-2-2-22222000000-22000000002i2i−2i−2i0000000000−2i2i0000
χ28222222-2-2-2-2-2-2-2-2-2-22222000000-2200000000−2i−2i2i2i00000000002i−2i0000
χ292222-2-222-2-22-2-2200002-222-2-2000000002-200000002020-20-200000000
χ302222-2-222-2-22-2-2200002-222-2-2000000002-20000000-20-2020200000000
χ312222-2-222-2-22-2-2200002-2-2-22200000000-22000000020-20-20200000000
χ322222-2-222-2-22-2-2200002-2-2-22200000000-220000000-202020-200000000
χ332222-2-2-2-2222-2-220000-2222-2-200000000-220000002020-20-2000000000
χ342222-2-2-2-2222-2-220000-2222-2-200000000-22000000-20-20202000000000
χ352222-2-2-2-2222-2-220000-22-2-222000000002-200000020-20-202000000000
χ362222-2-2-2-2222-2-220000-22-2-222000000002-2000000-202020-2000000000
χ374444-4-444-4-4-444-40000-44000000000000000000000000000000000000
χ384444-4-4-4-444-444-400004-4000000000000000000000000000000000000
χ3944-4-44-44-44-40000000000000000000022−220022−2200000000000000000000
χ4044-4-44-44-44-400000000000000000000−222200−222200000000000000000000
χ4144-4-44-4-44-440000000000000000000022−2200−222200000000000000000000
χ4244-4-44-4-44-4400000000000000000000−22220022−2200000000000000000000
χ4344-4-4-444-4-4400004-44-400000000000000000000000000000000000000
χ4444-4-4-444-4-440000-44-4400000000000000000000000000000000000000
χ4544-4-4-44-444-400004-4-4400000000000000000000000000000000000000
χ4644-4-4-44-444-40000-444-400000000000000000000000000000000000000
χ474-4-44000000400-4000000004i−4i2-2002-20000002i−2i2i−2i0000000000000000
χ484-4-44000000400-4000000004i−4i-2200-22000000−2i2i−2i2i0000000000000000
χ494-4-44000000400-400000000−4i4i2-2002-2000000−2i2i−2i2i0000000000000000
χ504-4-44000000400-400000000−4i4i-2200-220000002i−2i2i−2i0000000000000000
χ514-4-44000000-40040000004-4002-200-220000002-2-220000000000000000
χ524-4-44000000-40040000004-400-22002-2000000-222-20000000000000000
χ534-4-44000000-4004000000-44002-200-22000000-222-20000000000000000
χ544-4-44000000-4004000000-4400-22002-20000002-2-220000000000000000
χ558-88-800000008i−8i0000000000000000000000000000000000000000000
χ568-88-80000000−8i8i0000000000000000000000000000000000000000000

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