Finite Group Databasebeta

← Group #282549

Character table — Group #282549

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244888844444448888888888444444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-1
χ811111111111111111111-1-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111
χ91111111111111111-1-111111111-1-111-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111-1
χ101111111111111111-1-111111111-1-111-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11
χ111111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1
χ121111111111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-11
χ131111111111111111-1-111-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-11
χ141111111111111111-1-111-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-11-1
χ17222222222-2-222-2-2222-2-2000022-2-2-2-2200000000002-20000000000000000
χ18222222222-2-222-2-2222-2-20000-2-2-2-22220000000000-220000000000000000
χ19222222222-2-222-2-22-2-2-2-200002222-2-2-20000000000-220000000000000000
χ20222222222-2-222-2-22-2-2-2-20000-2-22222-200000000002-20000000000000000
χ2122222222-222-2-222-222-2-2222200-2200-2-2-222-2-20000000000000000000000
χ2222222222-222-2-222-222-2-2-2-2-2-200-2200-222-2-2220000000000000000000000
χ2322222222-222-2-222-2-2-2-2-22222002-2002-2-2-2-2220000000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-2-2-2002-20022222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222220000002-200-20000002i2i−2i−2i00000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-222220000002-200-2000000−2i−2i2i2i0000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-222000000-220020000002i2i−2i−2i0000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-222000000-22002000000−2i−2i2i2i00000000002i−2i000000
χ292-2-2-222-222222-2-2-2-2002-2000000000000000002i−2i2i−2i00002-2002i−2i00000000
χ302-2-2-222-222222-2-2-2-2002-2000000000000000002i−2i2i−2i0000-2200−2i2i00000000
χ312-2-2-222-222222-2-2-2-2002-200000000000000000−2i2i−2i2i00002-200−2i2i00000000
χ322-2-2-222-222222-2-2-2-2002-200000000000000000−2i2i−2i2i0000-22002i−2i00000000
χ332-2-2-222-22-2-2-2-22222002-2000000000000000002-2-22002-200000000002-200
χ342-2-2-222-22-2-2-2-22222002-2000000000000000002-2-2200-220000000000-2200
χ352-2-2-222-22-2-2-2-22222002-200000000000000000-222-2002-20000000000-2200
χ362-2-2-222-22-2-2-2-22222002-200000000000000000-222-200-2200000000002-200
χ37444-4-44-4-404-4004-40000000000000000000000000000000022−220000000000
χ38444-4-44-4-404-4004-400000000000000000000000000000000−22220000000000
χ39444-4-44-4-40-4400-440000000000000000000000000000000000000022−220000
χ40444-4-44-4-40-4400-4400000000000000000000000000000000000000−22220000
χ4144-444-4-4-4000000004-4002222−22−2200000000022−22000000000000000000000000
χ4244-444-4-4-4000000004-400−22−222222000000000−2222000000000000000000000000
χ4344-444-4-4-400000000-44002222−22−22000000000−2222000000000000000000000000
χ4444-444-4-4-400000000-4400−22−22222200000000022−22000000000000000000000000
χ4544-4-4-4-444400-4400-4000000004i−4i000000000000000000000000000000000
χ4644-4-4-4-444400-4400-400000000−4i4i000000000000000000000000000000000
χ4744-4-4-4-444-4004-40040000000000004-400000000000000000000000000000
χ4844-4-4-4-444-4004-4004000000000000-4400000000000000000000000000000
χ494-444-4-4-44400-4-400400002i2−2i22i2−2i200000002i2−2i200000000000000000000000000
χ504-444-4-4-44400-4-40040000−2i22i2−2i22i20000000−2i22i200000000000000000000000000
χ514-444-4-4-44-4004400-400002i2−2i22i2−2i20000000−2i22i200000000000000000000000000
χ524-444-4-4-44-4004400-40000−2i22i2−2i22i200000002i2−2i200000000000000000000000000
χ534-4-44-444-404-400-44000000000000000000004i−4i0000000000000000000000
χ544-4-44-444-404-400-4400000000000000000000−4i4i0000000000000000000000
χ554-4-44-444-40-44004-4000004i−4i−4i4i00000000000000000000000000000000000
χ564-4-44-444-40-44004-400000−4i4i4i−4i00000000000000000000000000000000000
χ574-4-4-444-444-4-44-444-400-44000000000000000000000000000000000000000
χ584-4-4-444-44-444-44-4-4400-44000000000000000000000000000000000000000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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