Finite Group Databasebeta

← Group #308378

Character table — Group #308378

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-1
χ91111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-111111111-11-1-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-11-1-1111111-1-111-1
χ172222222222-22-2-2-222222-2-20000220000-2-20022000000-2-20000-200000000000000
χ182222222222-22-2-2-222222-2-20000-2-20000-2-200-2-2000000220000200000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200002200002200-2-2000000220000-200000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-20000-2-20000220022000000-2-20000200000000000000
χ2122222222-2-22-2222-20000-2-222220022-2-200-2-2000000-2-2000000020000000000000
χ2222222222-2-22-2222-20000-2-2222200-2-2220022000000-2-20000000-20000000000000
χ2322222222-2-22-2222-20000-2-2-2-2-2-20022-2-20022000000220000000-20000000000000
χ2422222222-2-22-2222-20000-2-2-2-2-2-200-2-22200-2-200000022000000020000000000000
χ252222-2-2-2-22-202000-222-2-20022−2−22-2000000002-222−2−22−20022−2−2000000002−200000
χ262222-2-2-2-22-202000-222-2-20022−2−2-2200000000-2222−2−22−200−2−22200000000−2200000
χ272222-2-2-2-22-202000-222-2-200−2−2222-2000000002-2−2−222−2200−2−22200000000−2200000
χ282222-2-2-2-22-202000-222-2-200−2−222-2200000000-22−2−222−220022−2−2000000002−200000
χ292222-2-2-2-22-202000-2-2-2220022−2−22-200000000-22−2−2222−200−2−222000000002−200000
χ302222-2-2-2-22-202000-2-2-2220022−2−2-22000000002-2−2−2222−20022−2−200000000−2200000
χ312222-2-2-2-22-202000-2-2-22200−2−2222-200000000-2222−2−2−220022−2−200000000−2200000
χ322222-2-2-2-22-202000-2-2-22200−2−222-22000000002-222−2−2−2200−2−222000000002−200000
χ3322-2-22-22-2222-2-22-2-200002-20000002-22-20000002-22-200000000002-200000000000
χ3422-2-22-22-2222-2-22-2-200002-20000002-22-2000000-22-220000000000-2200000000000
χ3522-2-22-22-2222-2-22-2-200002-2000000-22-220000002-22-20000000000-2200000000000
χ3622-2-22-22-2222-2-22-2-200002-2000000-22-22000000-22-2200000000002-200000000000
χ3722-2-22-22-2-2-222-22-222i−2i2i−2i-220000002-2-222i−2i000000000000000000002i−2i000000000
χ3822-2-22-22-2-2-222-22-222i−2i2i−2i-22000000-222-22i−2i00000000000000000000−2i2i000000000
χ3922-2-22-22-2-2-222-22-22−2i2i−2i2i-220000002-2-22−2i2i00000000000000000000−2i2i000000000
χ4022-2-22-22-2-2-222-22-22−2i2i−2i2i-22000000-222-2−2i2i000000000000000000002i−2i000000000
χ4122-2-22-22-2-2-2-222-2222i−2i2i−2i2-20000000000−2i2i00000000000000000000002i−2i002-2000
χ4222-2-22-22-2-2-2-222-2222i−2i2i−2i2-20000000000−2i2i0000000000000000000000−2i2i00-22000
χ4322-2-22-22-2-2-2-222-222−2i2i−2i2i2-200000000002i−2i00000000000000000000002i−2i00-22000
χ4422-2-22-22-2-2-2-222-222−2i2i−2i2i2-200000000002i−2i0000000000000000000000−2i2i002-2000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-4-440-400040000002222−22−220000000000000000−2222000000000000000000000
χ474444-4-4-4-4-440-40004000000−22−222222000000000000000022−22000000000000000000000
χ4844-4-44-44-444-4-44-44-40000-440000000000000000000000000000000000000000000
χ4944-4-4-44-444-40-40004000000000000000000000022−22−222200000000000000000000000
χ5044-4-4-44-444-40-400040000000000000000000000−222222−2200000000000000000000000
χ5144-4-4-44-44-4404000-44i−4i−4i4i000000000000000000000000000000000000000000000
χ5244-4-4-44-44-4404000-4−4i4i4i−4i000000000000000000000000000000000000000000000
χ534-44-444-4-40000000000000022−2222−2200000000000000000022−222-22-2000000000000000
χ544-44-444-4-40000000000000022−2222−22000000000000000000−2222-22-22000000000000000
χ554-44-444-4-400000000000000−2222−222200000000000000000022−22-22-22000000000000000
χ564-44-444-4-400000000000000−2222−2222000000000000000000−22222-22-2000000000000000
χ574-44-4-4-4440040-4-44000000000000000000000000000000022−22−2222000000000000000
χ584-44-4-4-4440040-4-440000000000000000000000000000000−222222−22000000000000000
χ594-44-4-4-44400-4044-400000004-4-44000000000000000000000000000000000000000
χ604-44-4-4-44400-4044-40000000-444-4000000000000000000000000000000000000000
χ614-4-44-444-400404-4-40000000000000000000000000000000000000000000000022−220
χ624-4-44-444-400404-4-400000000000000000000000000000000000000000000000−22220
χ634-4-44-444-400-40-44400000000000000000004i−4i00000000000000000000000000000
χ644-4-44-444-400-40-4440000000000000000000−4i4i00000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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