Finite Group Databasebeta

← Group #258842

Character table — Group #258842

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-111-1-1111111-1-1-1-1
χ51111111111111111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11-1-111111111-111-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111
χ91111111111111111-1-111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1
χ101111111111111111-1-111-1-11111-1-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-111
χ111111111111111111-1-111-1-111-1-111-1111111-1-1-1-1-111-11-1-1-1-1-111-1-11111-1-1
χ121111111111111111-1-111-1-111-1-111-111-1-1-1-11111-111-11-111-1-1-1-111-1-1-1-111
χ131111111111111111-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1-1-111
χ141111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-111-1-1-1-1-1-111-1-1-11111-1-1-1-11-1-111-11111-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-1111111-1-111-1-1
χ172222222222-2-2-222-222-2-2-22220000-2-2-200000000-20020000000000000000
χ182222222222-2-2-222-222-2-2-22-2-20000-22200000000200-20000000000000000
χ192222222222-2-2-222-2-2-2-2-22-22200002-2-200000000200-20000000000000000
χ202222222222-2-2-222-2-2-2-2-22-2-2-2000022200000000-20020000000000000000
χ2122222222-2-2222-2-2222-2-22-20022-2-2-2000000000000002-200000000000000
χ2222222222-2-2222-2-2222-2-22-200-2-222-200000000000000-2200000000000000
χ2322222222-2-2222-2-22-2-2-2-2-22002222200000000000000-2-200000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2200-2-2-2-22000000000000002200000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-20000002000000000002-2000002-20000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2000000200000000000-2200000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000-2000000000002-200000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000-200000000000-22000002-20000000000
χ2922-2-2-222-22-222-22-2-200-22002i−2i000002i−2i0000000000000000002i−2i002-20000
χ3022-2-2-222-22-222-22-2-200-22002i−2i000002i−2i000000000000000000−2i2i00-220000
χ3122-2-2-222-22-222-22-2-200-2200−2i2i00000−2i2i0000000000000000002i−2i00-220000
χ3222-2-2-222-22-222-22-2-200-2200−2i2i00000−2i2i000000000000000000−2i2i002-20000
χ3322-2-2-222-22-2-2-222-22002-2002i−2i00000−2i2i000000000000002-200002i−2i000000
χ3422-2-2-222-22-2-2-222-22002-2002i−2i00000−2i2i00000000000000-220000−2i2i000000
χ3522-2-2-222-22-2-2-222-22002-200−2i2i000002i−2i000000000000002-20000−2i2i000000
χ3622-2-2-222-22-2-2-222-22002-200−2i2i000002i−2i00000000000000-2200002i−2i000000
χ37444-4-4-4-4444000-4-4000000000000000000002222−22−2200000000000000000000
χ38444-4-4-4-4444000-4-400000000000000000000−22−22222200000000000000000000
χ39444-4-4-4-44-4-40004400000000000000002i22i2−2i2−2i2000000000000000000000000
χ40444-4-4-4-44-4-4000440000000000000000−2i2−2i22i22i2000000000000000000000000
χ4144-444-4-4-44-4000-4400000000000000000000000000000000000000000022−22
χ4244-444-4-4-44-4000-44000000000000000000000000000000000000000000−2222
χ4344-444-4-4-4-440004-4000000000000000000000000000000000000000022−2200
χ4444-444-4-4-4-440004-40000000000000000000000000000000000000000−222200
χ4544-4-4-444-4-4444-4-44-4004-4000000000000000000000000000000000000000
χ4644-4-4-444-4-44-4-44-44400-44000000000000000000000000000000000000000
χ474-44-444-4-4004-4400-4000000004-4000000000000000000000000000000000
χ484-44-444-4-4004-4400-400000000-44000000000000000000000000000000000
χ494-44-444-4-400-44-400400000000004i−4i0000000000000000000000000000000
χ504-44-444-4-400-44-40040000000000−4i4i0000000000000000000000000000000
χ514-4-44-44-44004-4-4004000000000000000000022−2222−2200000000000000000000
χ524-4-44-44-44004-4-40040000000000000000000−2222−222200000000000000000000
χ534-4-44-44-4400-44400-40000000000000002i2−2i22i2−2i2000000000000000000000000
χ544-4-44-44-4400-44400-4000000000000000−2i22i2−2i22i2000000000000000000000000
χ554-4-4-44-444000000004-400000000000002-2-222-2-2200000000000000000000
χ564-4-4-44-444000000004-40000000000000-222-2-222-200000000000000000000
χ574-4-4-44-44400000000-4400000000000002-2-22-222-200000000000000000000
χ584-4-4-44-44400000000-440000000000000-222-22-2-2200000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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