Finite Group Databasebeta

← Group #266384

Character table — Group #266384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444224444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-11-1111-1-1-1-1-1111111-1-1-1-1
χ511111111111111111111-1-1111-1-1111111111111-11-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-11-1-1111111111-1-111-111-11111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111
χ911111111111111111-1-111111-111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111111-1-111111-111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-111-1-111
χ1111111111111111111-1-1111-1-1-111-111-11111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1
χ1211111111111111111-1-1111-1-1-111-111-1-1-1-1-11111-1-111-1111-1-1-1-111-1-1-1-111
χ1311111111111111111-1-11-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-11111-1-1-1-111
χ1411111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-111-11111-1-1-1-11-1111-1-1111-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-11-1-11111111-1-111-1-1
χ172222222222-2-2-222-2-222-222002-2-2-200-200000000-20002000000000000000
χ182222222222-2-2-222-2-222-2-2-200222-200-2000000002000-2000000000000000
χ192222222222-2-2-222-2-2-2-2-22200-2-2-22002000000002000-2000000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-200-222200200000000-20002000000000000000
χ2122222222-2-2222-2-22-222-20022-200-2-2-22000000000-2000002000000000000
χ2222222222-2-2222-2-22-222-200-2-2-200-2222000000000200000-2000000000000
χ2322222222-2-2222-2-22-2-2-2-20022200222-2000000000-200000-2000000000000
χ2422222222-2-2222-2-22-2-2-2-200-2-22002-2-2-20000000002000002000000000000
χ2522222222-2-2-2-2-2-2-2-222220000-200200-200000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222220000-200200-20000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-220000200-200200000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-220000200-20020000000000000-2202-20000000000
χ29222-2-22-2-22-222-22-2-2200-22-20002-2000000000000002-2000000002-2000000
χ30222-2-22-2-22-222-22-2-2200-22-20002-200000000000000-2200000000-22000000
χ31222-2-22-2-22-222-22-2-2200-2-22000-22000000000000002-200000000-22000000
χ32222-2-22-2-22-222-22-2-2200-2-22000-2200000000000000-22000000002-2000000
χ33222-2-22-2-22-2-2-222-22-20022-2000-2200000000000000000000002i−2i002i−2i0000
χ34222-2-22-2-22-2-2-222-22-20022-2000-220000000000000000000000−2i2i00−2i2i0000
χ35222-2-22-2-22-2-2-222-22-2002-220002-200000000000000000000002i−2i00−2i2i0000
χ36222-2-22-2-22-2-2-222-22-2002-220002-20000000000000000000000−2i2i002i−2i0000
χ37444-4-44-4-4-4444-4-44-4-4004000000000000000000000000000000000000000
χ38444-4-44-4-4-44-4-44-444400-4000000000000000000000000000000000000000
χ3944-444-4-4-44-4000-44000000000000000000002222−22−2200000000000000000000
χ4044-444-4-4-44-4000-4400000000000000000000−22−22222200000000000000000000
χ4144-444-4-4-4-440004-400000000000000002222−22−22000000000000000000000000
χ4244-444-4-4-4-440004-40000000000000000−22−222222000000000000000000000000
χ4344-4-4-4-44444000-4-40000000000000000000000000000000000000000002i2−2i2
χ4444-4-4-4-44444000-4-4000000000000000000000000000000000000000000−2i22i2
χ4544-4-4-4-444-4-400044000000000000000000000000000000000000000022−2200
χ4644-4-4-4-444-4-4000440000000000000000000000000000000000000000−222200
χ474-44-44-4-440000000004i−4i0000000000002i−2i2i−2i2-22-200000000000000000000
χ484-44-44-4-440000000004i−4i000000000000−2i2i−2i2i-22-2200000000000000000000
χ494-44-44-4-44000000000−4i4i0000000000002i−2i2i−2i-22-2200000000000000000000
χ504-44-44-4-44000000000−4i4i000000000000−2i2i−2i2i2-22-200000000000000000000
χ514-4-44-44-44004-4400-40000000000004i−4i00000000000000000000000000000
χ524-4-44-44-44004-4400-4000000000000−4i4i00000000000000000000000000000
χ534-4-44-44-4400-44-40040000004-400000000000000000000000000000000000
χ544-4-44-44-4400-44-4004000000-4400000000000000000000000000000000000
χ554-4-4-4444-4004-4-4004000000000000000000022−22−222200000000000000000000
χ564-4-4-4444-4004-4-40040000000000000000000−222222−2200000000000000000000
χ574-4-4-4444-400-44400-40000000000000002i2−2i2−2i22i2000000000000000000000000
χ584-4-4-4444-400-44400-4000000000000000−2i22i22i2−2i2000000000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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