Finite Group Databasebeta

← Group #329376

Character table — Group #329376

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-11-1-11111111111-1-11-1-11-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-11-1-111111111-1-111-111-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11-1-111111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1
χ91111111111111111-1-1-1-11-1-1111-1-111-1-1-11111-1-1-1-111-1-1-111-111-1-111-1-11-1
χ101111111111111111-1-1-1-11-1-1111-1-111-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-1-111-11
χ111111111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1111111-1-1-111-1-1-111-1-111-11
χ121111111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-11111-1-1111-1-11-1-11111-1-11-1
χ131111111111111111-1-1-1-11-1-11-1-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-11-1-11-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1
χ151111111111111111-1-1-1-11-1-11-1-111-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1
χ161111111111111111-1-1-1-11-1-11-1-111-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-2-222222-2-2-2-22222-2-2-2-2-200000000000000000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-2-2-2-222-22200000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-2-222-222-2-2-2-222200000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-222-2-2-222222-2-200000000000000000000000000
χ2122222222-2-2-22222-222-2-2-222-2000000-200000000002-200-20020000000000
χ2222222222-2-2-22222-222-2-2-222-2000000-20000000000-2200200-20000000000
χ2322222222-2-2-22222-2-2-222-2-2-2-2000000200000000002-200200-20000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-200000020000000000-2200-20020000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-2-2200000020000000000002-202-200000000000
χ2622222222-2-2-2-2-2-2-2-222-2-22-2-220000002000000000000-220-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-20000000000002-20-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000-2202-200000000000
χ292222-2-2-2-222-20000-22-22-200002-22-20000022−2−222−2−2000000002−22−2000000
χ302222-2-2-2-222-20000-22-22-200002-22-200000−2−222−2−22200000000−22−22000000
χ312222-2-2-2-222-20000-22-22-20000-22-220000022−2−222−2−200000000−22−22000000
χ322222-2-2-2-222-20000-22-22-20000-22-2200000−2−222−2−222000000002−22−2000000
χ332222-2-2-2-222-20000-2-22-2200002-2-220000022−2−2−2−222000000002−2−22000000
χ342222-2-2-2-222-20000-2-22-2200002-2-2200000−2−22222−2−200000000−222−2000000
χ352222-2-2-2-222-20000-2-22-220000-222-20000022−2−2−2−22200000000−222−2000000
χ362222-2-2-2-222-20000-2-22-220000-222-200000−2−22222−2−2000000002−2−22000000
χ374444-4-4-4-4-4-44000044-4-44000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4400004-444-4000000000000000000000000000000000000000
χ3944-4-4-44-440004-44-4000000000000000000000000000000000000002i2−2i20000
χ4044-4-4-44-440004-44-400000000000000000000000000000000000000−2i22i20000
χ4144-4-4-44-44000-44-4400000000000000000000000000000000000000002i2−2i200
χ4244-4-4-44-44000-44-440000000000000000000000000000000000000000−2i22i200
χ434-44-444-4-44-4444-4-4-40000-400400000000000000000000000000000000000
χ444-44-444-4-44-44-4-444-40000400-400000000000000000000000000000000000
χ454-44-444-4-4-44-444-4-440000400-400000000000000000000000000000000000
χ464-44-444-4-4-44-4-4-44440000-400400000000000000000000000000000000000
χ474-44-4-4-4444-4-4000040000000000000004-400000000000000000000000000
χ484-44-4-4-4444-4-400004000000000000000-4400000000000000000000000000
χ494-44-4-4-444-4440000-40000000000004i−4i00000000000000000000000000000
χ504-44-4-4-444-4440000-4000000000000−4i4i00000000000000000000000000000
χ514-4-444-4-4400000000000004-400000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ524-4-444-4-4400000000000004-40000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ534-4-444-4-440000000000000-4400000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ544-4-444-4-440000000000000-440000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ554-4-44-444-40004-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ564-4-44-444-40004-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ574-4-44-444-4000-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ584-4-44-444-4000-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ5988-8-88-88-8000000000000000000000000000000000000000000000000000

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