Finite Group Databasebeta

← Group #267365

Character table — Group #267365

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244444422444444488888888444488888888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ91111111111111111-1-111-1-1-1-111-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-1
χ101111111111111111-1-111-1-1-1-111-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-11
χ111111111111111111-1-111-1-1-1-111-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-11
χ121111111111111111-1-111-1-1-1-111-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-11-1
χ17222222222-2-222-2-2222-2-2-2-22222-2-2-2-2-22200000000000000000000000000
χ18222222222-2-222-2-2222-2-2-2-222-2-2-22222-2-200000000000000000000000000
χ19222222222-2-222-2-22-2-2-2-222-2-2222-2-222-2-200000000000000000000000000
χ20222222222-2-222-2-22-2-2-2-222-2-2-2-2222-2-22200000000000000000000000000
χ2122222222-222-2-222-222-2-2-2-2-2-200200000022-2-2-2-222000000000000000000
χ2222222222-222-2-222-222-2-2-2-2-2-2002000000-2-22222-2-2000000000000000000
χ2322222222-222-2-222-2-2-2-2-2222200-20000002222-2-2-2-2000000000000000000
χ2422222222-222-2-222-2-2-2-2-2222200-2000000-2-2-2-22222000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-200-200000000000000000000002i−2i2i−2i000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-200-20000000000000000000000−2i2i−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-22200200000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-2220020000000000000000000000−2i2i2i−2i000000
χ292-2-2-222-22-22-22-22-22002-200002-202-20000000000002-200000000002-20000
χ302-2-2-222-22-22-22-22-22002-200002-202-2000000000000-220000000000-220000
χ312-2-2-222-22-22-22-22-22002-20000-220-220000000000002-20000000000-220000
χ322-2-2-222-22-22-22-22-22002-20000-220-22000000000000-2200000000002-20000
χ332-2-2-222-22-2-222-2-22200-2200002-20-22000000000000002-200000000002-200
χ342-2-2-222-22-2-222-2-22200-2200002-20-2200000000000000-220000000000-2200
χ352-2-2-222-22-2-222-2-22200-220000-2202-2000000000000002-20000000000-2200
χ362-2-2-222-22-2-222-2-22200-220000-2202-200000000000000-2200000000002-200
χ37444-44-4-4-404400-4-400000000000000000000000000000022−22000000000000
χ38444-44-4-4-404400-4-4000000000000000000000000000000−2222000000000000
χ39444-44-4-4-40-4-40044000000000000000000000000000000002i2−2i20000000000
χ40444-44-4-4-40-4-4004400000000000000000000000000000000−2i22i20000000000
χ4144-44-4-4-444004-400-400000000000004i−4i0000000000000000000000000000
χ4244-44-4-4-444004-400-40000000000000−4i4i0000000000000000000000000000
χ4344-44-4-4-44-400-440040000000000000004-400000000000000000000000000
χ4444-44-4-4-44-400-44004000000000000000-4400000000000000000000000000
χ4544-4-4-444-40000000000004-4000000000002i2−2i22i2−2i20000000000000000000000
χ4644-4-4-444-40000000000004-400000000000−2i22i2−2i22i20000000000000000000000
χ4744-4-4-444-4000000000000-44000000000002i2−2i2−2i22i20000000000000000000000
χ4844-4-4-444-4000000000000-4400000000000−2i22i22i2−2i20000000000000000000000
χ494-44-4-4-444400-4-40044-400004-400000000000000000000000000000000000
χ504-44-4-4-444400-4-4004-440000-4400000000000000000000000000000000000
χ514-44-4-4-444-4004400-44-40000-4400000000000000000000000000000000000
χ524-44-4-4-444-4004400-4-4400004-400000000000000000000000000000000000
χ534-4-444-44-404-400-4400000000000000000000004i−4i00000000000000000000
χ544-4-444-44-404-400-440000000000000000000000−4i4i00000000000000000000
χ554-4-444-44-40-44004-40000000000000000000000004i−4i000000000000000000
χ564-4-444-44-40-44004-4000000000000000000000000−4i4i000000000000000000
χ574-4-4-444-4444-4-444-4-400-44000000000000000000000000000000000000000
χ584-4-4-444-444-44-44-44-4004-4000000000000000000000000000000000000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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