Finite Group Databasebeta

← Group #247686

Character table — Group #247686

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444244444444448888888822444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1111111-1-1-1-1
χ5111111111111111111111-1-11-1-11111111111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1
χ6111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ7111111111111111111111-1-11-1-1-1-11-1-11111111111-111-1-111-111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-111111111
χ91111111111111111-1-111-111-1-1-111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-1
χ101111111111111111-1-111-111-1-1-111-111-1-1-1-11111-1-1111-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11-1-1111-1-11111-1-1
χ121111111111111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1-1-1-111
χ131111111111111111-1-111-1-1-1-11111-1111111-1-1-1-111-1-1-11-1-1-1-11111-1-1-1-111
χ141111111111111111-1-111-1-1-1-11111-111-1-1-1-1111111-1-1-11-111-1-1-1-1-11111-1-1
χ151111111111111111-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111111-1-111-1-1
χ172222222222-2-2-222-222-2-2-222-2-2-2002000000000000-200200000000000000
χ182222222222-2-2-222-222-2-2-2-2-2-222002000000000000200-200000000000000
χ192222222222-2-2-222-2-2-2-2-222222200-2000000000000-200-200000000000000
χ202222222222-2-2-222-2-2-2-2-22-2-22-2-200-2000000000000200200000000000000
χ2122222222-2-2222-2-2222-2-2-20020022-2-2-200000000000000200-20000000000
χ2222222222-2-2222-2-2222-2-2-200200-2-2-22200000000000000-20020000000000
χ2322222222-2-2222-2-22-2-2-2-2200-200222-2-200000000000000-20020000000000
χ2422222222-2-2222-2-22-2-2-2-2200-200-2-222200000000000000200-20000000000
χ2522222222-2-2-2-2-2-2-2-22222200-20000-200000000002-202-2000000000000000
χ2622222222-2-2-2-2-2-2-2-22222200-20000-20000000000-220-22000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-20020000200000000002-20-22000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2002000020000000000-2202-2000000000000000
χ292-2-2-2-22222-22-2-22-22002-20000002-202-20000000000000000002-20000002-2
χ302-2-2-2-22222-22-2-22-22002-20000002-202-2000000000000000000-22000000-22
χ312-2-2-2-22222-22-2-22-22002-2000000-220-220000000000000000002-2000000-22
χ322-2-2-2-22222-22-2-22-22002-2000000-220-22000000000000000000-220000002-2
χ332-2-2-2-2222-222-2-2-22200-220000002-20-220000000000000002-200000002-200
χ342-2-2-2-2222-222-2-2-22200-220000002-20-22000000000000000-220000000-2200
χ352-2-2-2-2222-222-2-2-22200-22000000-2202-20000000000000002-20000000-2200
χ362-2-2-2-2222-222-2-2-22200-22000000-2202-2000000000000000-2200000002-200
χ37444-4-4-4-440044-400-40000000000000002222−22−22000000000000000000000000
χ38444-4-4-4-440044-400-4000000000000000−22−222222000000000000000000000000
χ39444-4-4-4-4400-4-4400400000000000000000002i22i2−2i2−2i200000000000000000000
χ40444-4-4-4-4400-4-440040000000000000000000−2i2−2i22i22i200000000000000000000
χ4144-44-44-4-444000-4-40000000000000000000022−2222−2200000000000000000000
χ4244-44-44-4-444000-4-400000000000000000000−2222−222200000000000000000000
χ4344-44-44-4-4-4-40004400000000000000002i2−2i22i2−2i2000000000000000000000000
χ4444-44-44-4-4-4-4000440000000000000000−2i22i2−2i22i2000000000000000000000000
χ4544-4-44-44-4000000004-400000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ4644-4-44-44-4000000004-40000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ4744-4-44-44-400000000-4400000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ4844-4-44-44-400000000-440000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ494-44-444-4-44-4000-440000004i−4i000000000000000000000000000000000000
χ504-44-444-4-44-4000-44000000−4i4i000000000000000000000000000000000000
χ514-44-444-4-4-440004-40000000004i−4i000000000000000000000000000000000
χ524-44-444-4-4-440004-4000000000−4i4i000000000000000000000000000000000
χ534-4-444-4-44004-4400-4000000000000000000000000000000000002i2−2i2000000
χ544-4-444-4-44004-4400-400000000000000000000000000000000000−2i22i2000000
χ554-4-444-4-4400-44-4004000000000000000000000000000000000000022−220000
χ564-4-444-4-4400-44-40040000000000000000000000000000000000000−22220000
χ574-4-4-4-44444-4-4444-4-400-44000000000000000000000000000000000000000
χ584-4-4-4-4444-44-444-44-4004-4000000000000000000000000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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