Finite Group Databasebeta

← Group #343408

Character table — Group #343408

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888222224448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-111-111-1-1-1-1-1-11-1
χ31111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-1111-11-1-111-1-1-1-1-11
χ41111111111111111111111-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-111-1-1-11
χ611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-111-1-1
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1111111-1-11-1
χ9111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1
χ10111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-111111-1111-1-111-1-1-1-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11-1-11111-1-111-11
χ13111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ14111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-11-111-1-11111-11
χ15111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-1-1-111
χ17222222222-2-222-2-22-2-200002222000022-2-20000000000-2-20000000000
χ18222222222-2-222-2-22-2-2000022-2-20000-2-2220000000000-220000000000
χ19222222222-2-222-2-22-2-20000-2-2220000-2-22200000000002-20000000000
χ20222222222-2-222-2-22-2-20000-2-2-2-2000022-2-20000000000220000000000
χ2122222222-222-2-222-2-2-22222000022-2-200000000-20000-2000000000000
χ2222222222-222-2-222-2-2-222-2-20000-2-22200000000-200002000000000000
χ2322222222-222-2-222-2-2-2-2-2220000-2-2220000000020000-2000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-2000022-2-200000000200002000000000000
χ252-2-22-2-2222-2-2-2-2222-22000000000000000022-2-202-22-20000000000000
χ262-2-22-2-2222-2-2-2-2222-22000000000000000022-2-20-22-220000000000000
χ272-2-22-2-2222-2-2-2-2222-220000000000000000-2-22202-2-220000000000000
χ282-2-22-2-2222-2-2-2-2222-220000000000000000-2-2220-222-20000000000000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ30444-4-4-44-40000000000000000002i2−2i2002i2−2i2002-22-2000000000000000000
χ31444-4-4-44-40000000000000000002i2−2i200−2i22i200-22-22000000000000000000
χ32444-4-4-44-4000000000000000000−2i22i2002i2−2i200-22-22000000000000000000
χ33444-4-4-44-4000000000000000000−2i22i200−2i22i2002-22-2000000000000000000
χ3444-444-4-4-404-4004-400000000000000000000000000000000000002i2−2i200
χ3544-444-4-4-404-4004-40000000000000000000000000000000000000−2i22i200
χ3644-444-4-4-40-4400-44000004i−4i0000000000000000000000000000000000
χ3744-444-4-4-40-4400-4400000−4i4i0000000000000000000000000000000000
χ3844-4-4-44-444004-400-40000000000000000000000000000002i2−2i200000000
χ3944-4-4-44-444004-400-4000000000000000000000000000000−2i22i200000000
χ4044-4-4-44-44-400-440040000004-400000000000000000000000000000000
χ4144-4-4-44-44-400-44004000000-4400000000000000000000000000000000
χ424-444-44-4-404-400-44000000000000000000000000000000000002i2−2i20000
χ434-444-44-4-404-400-4400000000000000000000000000000000000−2i22i20000
χ444-444-44-4-40-44004-40004i−4i000000000000000000000000000000000000
χ454-444-44-4-40-44004-4000−4i4i000000000000000000000000000000000000
χ464-44-44-4-44400-4400-4000000004i−4i000000000000000000000000000000
χ474-44-44-4-44400-4400-400000000−4i4i000000000000000000000000000000
χ484-44-44-4-44-4004-40040000000000000000000000000000000022−22000000
χ494-44-44-4-44-4004-400400000000000000000000000000000000−2222000000
χ504-4-44-4-444444-4-4-4-444-400000000000000000000000000000000000000
χ514-4-44-4-444-44444-4-4-4-4400000000000000000000000000000000000000
χ524-4-44-4-444-4-4-44444-44-400000000000000000000000000000000000000
χ534-4-4-4444-40000000000000000000022−220022−222-2-22000000000000000000
χ544-4-4-4444-40000000000000000000022−2200−2222-222-2000000000000000000
χ554-4-4-4444-400000000000000000000−22220022−22-222-2000000000000000000
χ564-4-4-4444-400000000000000000000−222200−22222-2-22000000000000000000

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