Finite Group Databasebeta

← Group #258811

Character table — Group #258811

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444224444444448888888822244444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-11111
χ511111111111111111111-1-11-1-1111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-111-1-11111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-111-1-111111111-111-1-1-1111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111
χ911111111111111111-1-1111-1-1-111-1-1111111-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1
χ1011111111111111111-1-1111-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-11111-1-111-1-111
χ1111111111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-111111-1-111-1-1-1-111
χ1211111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-1
χ1311111111111111111-1-11-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1
χ1411111111111111111-1-11-1-1-11111-1-111-1-1-1-11111-111-11-111-1-1-1-111-1-1-1-111
χ1511111111111111111-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-111-1-111
χ1611111111111111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1111111-1-111-1-1
χ172222222222-2-2-222-2-222-20020022-2-2-2-200000000-20000200000000000000
χ182222222222-2-2-222-2-222-200200-2-2-2-2220000000020000-200000000000000
χ192222222222-2-2-222-2-2-2-2-200-2002222-2-20000000020000-200000000000000
χ202222222222-2-2-222-2-2-2-2-200-200-2-2222200000000-20000200000000000000
χ2122222222-2-2222-2-22-222-222-2-2-2002-20000000000000-22000000000000000
χ2222222222-2-2222-2-22-222-2-2-2-222002-200000000000002-2000000000000000
χ2322222222-2-2222-2-22-2-2-2-22222200-220000000000000-2-2000000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-22-2-200-22000000000000022000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-20000-2200000000000000002-2002-200000000
χ2622222222-2-2-2-2-2-2-2-2222200-20000-220000000000000000-2200-2200000000
χ2722222222-2-2-2-2-2-2-2-22-2-2200200002-200000000000000002-200-2200000000
χ2822222222-2-2-2-2-2-2-2-22-2-2200200002-20000000000000000-22002-200000000
χ29222-22-2-2-22-222-22-2-2-2002000002i−2i002i−2i00000000000000002i−2i00002-20000
χ30222-22-2-2-22-222-22-2-2-2002000002i−2i002i−2i0000000000000000−2i2i0000-220000
χ31222-22-2-2-22-222-22-2-2-200200000−2i2i00−2i2i00000000000000002i−2i0000-220000
χ32222-22-2-2-22-222-22-2-2-200200000−2i2i00−2i2i0000000000000000−2i2i00002-20000
χ33222-22-2-2-22-2-2-222-22200-2000002i−2i00−2i2i0000000002-20000000002i−2i000000
χ34222-22-2-2-22-2-2-222-22200-2000002i−2i00−2i2i000000000-22000000000−2i2i000000
χ35222-22-2-2-22-2-2-222-22200-200000−2i2i002i−2i0000000002-2000000000−2i2i000000
χ36222-22-2-2-22-2-2-222-22200-200000−2i2i002i−2i000000000-220000000002i−2i000000
χ37444-44-4-4-4-4444-4-44-4400-4000000000000000000000000000000000000000
χ38444-44-4-4-4-44-4-44-444-4004000000000000000000000000000000000000000
χ3944-44-44-4-40000000004i−4i0000000000002i2i−2i−2i22-2-200000000000000000000
χ4044-44-44-4-40000000004i−4i000000000000−2i−2i2i2i-2-22200000000000000000000
χ4144-44-44-4-4000000000−4i4i0000000000002i2i−2i−2i-2-22200000000000000000000
χ4244-44-44-4-4000000000−4i4i000000000000−2i−2i2i2i22-2-200000000000000000000
χ434-444-4-44-44-4000-44000000000000000000002i2−2i22i2−2i200000000000000000000
χ444-444-4-44-44-4000-4400000000000000000000−2i22i2−2i22i200000000000000000000
χ454-444-4-44-4-440004-400000000000000002i2−2i22i2−2i2000000000000000000000000
χ464-444-4-44-4-440004-40000000000000000−2i22i2−2i22i2000000000000000000000000
χ474-44-4-44-4444000-4-40000000000000000000000000000000000000000002i2−2i2
χ484-44-4-44-4444000-4-4000000000000000000000000000000000000000000−2i22i2
χ494-44-4-44-44-4-400044000000000000000000000000000000000000000022−2200
χ504-44-4-44-44-4-4000440000000000000000000000000000000000000000−222200
χ514-4-444-4-44004-4400-400000000000000000002i2−2i2−2i22i200000000000000000000
χ524-4-444-4-44004-4400-40000000000000000000−2i22i22i2−2i200000000000000000000
χ534-4-444-4-4400-44-400400000000000000022−22−2222000000000000000000000000
χ544-4-444-4-4400-44-4004000000000000000−222222−22000000000000000000000000
χ554-4-4-4444-4004-4-400400004-40000000000000000000000000000000000000
χ564-4-4-4444-4004-4-40040000-440000000000000000000000000000000000000
χ574-4-4-4444-400-44400-400000004i−4i0000000000000000000000000000000000
χ584-4-4-4444-400-44400-40000000−4i4i0000000000000000000000000000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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