Finite Group Databasebeta

← Group #290585

Character table — Group #290585

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888844444448888888888444444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111-1-11-1-111111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-11-1-11-1-1-1-11111-1-1-11111-1-1-11111-1-111-1-1
χ811111111111111111111-1-1-1-11-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ91111111111111111-1-1111111-111-111-111-1-11111-1-1-111-1-1-11111-1-1-1-1-1-11-1
χ101111111111111111-1-1111111-111-111-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-11111-11
χ111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111111-1
χ121111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-11
χ131111111111111111-1-111-1-1-1-1-111-111-1-1-111-1-1-1-111-111-1-1-111-1-111-1-111-11
χ141111111111111111-1-111-1-1-1-1-111-111-1-1-111-1-1-1-111-1-1-111-1-1-1111111-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-111-1-1-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1111-1
χ17222222222-222-2-22-222-2-20000222-2-2-2-20000000000-200002000000000000
χ18222222222-222-2-22-222-2-200002-2-2-222-2000000000020000-2000000000000
χ19222222222-222-2-22-2-2-2-2-20000-2222-2-22000000000020000-2000000000000
χ20222222222-222-2-22-2-2-2-2-20000-2-2-222220000000000-200002000000000000
χ2122222222-22-2-222-2222-2-22222-200-2002-2-2-2-2000022000000000000000000
χ2222222222-22-2-222-2222-2-2-2-2-2-2-200-200222220000-2-2000000000000000000
χ2322222222-22-2-222-22-2-2-2-22222200200-2-2-2220000-2-2000000000000000000
χ2422222222-22-2-222-22-2-2-2-2-2-2-2-2200200-222-2-2000022000000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-200200-200002i2i−2i−2i0000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222220000-200200-20000−2i−2i2i2i000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-2220000200-200200002i2i−2i−2i000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2220000200-20020000−2i−2i2i2i0000000000002i−2i000000
χ29222-2-22-2-2222-22-2-2-2002-20000000000000002-22-20002-2000002-200000000
χ30222-2-22-2-2222-22-2-2-2002-20000000000000002-22-2000-2200000-2200000000
χ31222-2-22-2-2222-22-2-2-2002-2000000000000000-22-220002-200000-2200000000
χ32222-2-22-2-2222-22-2-2-2002-2000000000000000-22-22000-22000002-200000000
χ33222-2-22-2-2-2-2-22-2222002-20000000000000002i−2i−2i2i000002i−2i0000000002-200
χ34222-2-22-2-2-2-2-22-2222002-20000000000000002i−2i−2i2i00000−2i2i000000000-2200
χ35222-2-22-2-2-2-2-22-2222002-2000000000000000−2i2i2i−2i000002i−2i000000000-2200
χ36222-2-22-2-2-2-2-22-2222002-2000000000000000−2i2i2i−2i00000−2i2i0000000002-200
χ37444-4-44-4-44-44-4-44-4400-44000000000000000000000000000000000000000
χ38444-4-44-4-4-44-444-44-400-44000000000000000000000000000000000000000
χ3944-444-4-4-440-4-4004000002222−22−22000000022−2200000000000000000000000000
χ4044-444-4-4-440-4-400400000−22−2222220000000−222200000000000000000000000000
χ4144-444-4-4-4-404400-4000002222−22−220000000−222200000000000000000000000000
χ4244-444-4-4-4-404400-400000−22−222222000000022−2200000000000000000000000000
χ4344-4-4-4-44440-4400-400000000004i−4i00000000000000000000000000000000
χ4444-4-4-4-44440-4400-40000000000−4i4i00000000000000000000000000000000
χ4544-4-4-4-444-404-400400000000000004-400000000000000000000000000000
χ4644-4-4-4-444-404-40040000000000000-4400000000000000000000000000000
χ474-444-4-44-40400-440-4000000000000000000000000000000000000022−220000
χ484-444-4-44-40400-440-40000000000000000000000000000000000000−22220000
χ494-444-4-44-40-4004-40400000000000000000000000000000002i2−2i20000000000
χ504-444-4-44-40-4004-4040000000000000000000000000000000−2i22i20000000000
χ514-44-44-4-440400-4-404000000000000000004i−4i000000000000000000000000
χ524-44-44-4-440400-4-40400000000000000000−4i4i000000000000000000000000
χ534-44-44-4-440-400440-400004i−4i4i−4i00000000000000000000000000000000000
χ544-44-44-4-440-400440-40000−4i4i−4i4i00000000000000000000000000000000000
χ554-4-4-4444-4000000004-4002i2−2i2−2i22i20000000000000002i2−2i2000000000000000000
χ564-4-4-4444-4000000004-400−2i22i22i2−2i2000000000000000−2i22i2000000000000000000
χ574-4-4-4444-400000000-44002i2−2i2−2i22i2000000000000000−2i22i2000000000000000000
χ584-4-4-4444-400000000-4400−2i22i22i2−2i20000000000000002i2−2i2000000000000000000
χ598-8-88-88-88000000000000000000000000000000000000000000000000000

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