Finite Group Databasebeta

← Group #308350

Character table — Group #308350

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111
χ51111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111-1-11-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-111-1-111-1
χ71111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111-111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11
χ91111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ101111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1111-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1111111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111111-1-1-1-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-111-1-1-1-1-111-1-1111
χ172222222222-22-2-2-222222-2-20000000000-2-22222000000-2-20000-200000000000000
χ182222222222-22-2-2-222222-2-20000000000-2-2-2-2-2-2000000220000200000000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200000000002222-2-2000000220000-200000000000000
χ202222222222-22-2-2-22-2-2-2-2-2-2000000000022-2-222000000-2-20000200000000000000
χ2122222222-2-22-2222-20000-2-222222222-2-20000000000-2-200000000000-2000000000
χ2222222222-2-22-2222-20000-2-22222-2-2-2-2220000000000-2-2000000000002000000000
χ2322222222-2-22-2222-20000-2-2-2-2-2-222-2-22200000000002200000000000-2000000000
χ2422222222-2-22-2222-20000-2-2-2-2-2-2-2-222-2-2000000000022000000000002000000000
χ2522-22-22-2-2222-2-22-2-200002-20000002-22-200000022-2-20000000002-2000000000000
χ2622-22-22-2-2222-2-22-2-200002-20000002-22-2000000-2-222000000000-22000000000000
χ2722-22-22-2-2222-2-22-2-200002-2000000-22-2200000022-2-2000000000-22000000000000
χ2822-22-22-2-2222-2-22-2-200002-2000000-22-22000000-2-2220000000002-2000000000000
χ2922-22-22-2-2-2-222-22-222i2i−2i−2i-220000002-2-222i−2i00000000000000000000002i−2i0000000
χ3022-22-22-2-2-2-222-22-222i2i−2i−2i-22000000-222-22i−2i0000000000000000000000−2i2i0000000
χ3122-22-22-2-2-2-222-22-22−2i−2i2i2i-220000002-2-22−2i2i0000000000000000000000−2i2i0000000
χ3222-22-22-2-2-2-222-22-22−2i−2i2i2i-22000000-222-2−2i2i00000000000000000000002i−2i0000000
χ3322-22-22-2-2-2-2-222-2222i2i−2i−2i2-20000000000−2i2i00000000000000000002i−2i00000002-20
χ3422-22-22-2-2-2-2-222-2222i2i−2i−2i2-20000000000−2i2i0000000000000000000−2i2i0000000-220
χ3522-22-22-2-2-2-2-222-222−2i−2i2i2i2-200000000002i−2i00000000000000000002i−2i0000000-220
χ3622-22-22-2-2-2-2-222-222−2i−2i2i2i2-200000000002i−2i0000000000000000000−2i2i00000002-20
χ3722-2-22-22-22-20-200022-22-20022−2−2000000002i−2i2i−2i2−22−22−200i2i2−i2−i200000000i2−i200000
χ3822-2-22-22-22-20-200022-22-20022−2−200000000−2i2i−2i2i2−22−22−200−i2−i2i2i200000000−i2i200000
χ3922-2-22-22-22-20-200022-22-200−2−222000000002i−2i2i−2i−22−22−2200−i2−i2i2i200000000−i2i200000
χ4022-2-22-22-22-20-200022-22-200−2−22200000000−2i2i−2i2i−22−22−2200i2i2−i2−i200000000i2−i200000
χ4122-2-22-22-22-20-20002-22-220022−2−2000000002i−2i−2i2i−22−222−200−i2−i2i2i200000000i2−i200000
χ4222-2-22-22-22-20-20002-22-220022−2−200000000−2i2i2i−2i−22−222−200i2i2−i2−i200000000−i2i200000
χ4322-2-22-22-22-20-20002-22-2200−2−222000000002i−2i−2i2i2−22−2−2200i2i2−i2−i200000000−i2i200000
χ4422-2-22-22-22-20-20002-22-2200−2−22200000000−2i2i2i−2i2−22−2−2200−i2−i2i2i200000000i2−i200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-444-404000-4000000000000000000000022−22−222200000000000000000000000
χ47444-4-4-4-444-404000-40000000000000000000000−222222−2200000000000000000000000
χ48444-4-4-4-44-440-400044i−4i−4i4i000000000000000000000000000000000000000000000
χ49444-4-4-4-44-440-40004−4i4i4i−4i000000000000000000000000000000000000000000000
χ5044-44-44-4-444-4-44-44-40000-440000000000000000000000000000000000000000000
χ5144-4-44-44-4-4404000-40000002222−22−220000000000000000−2222000000000000000000000
χ5244-4-44-44-4-4404000-4000000−22−222222000000000000000022−22000000000000000000000
χ534-444-4-44-400404-4-400000004-44-4000000000000000000000000000000000000000
χ544-444-4-44-400404-4-40000000-44-44000000000000000000000000000000000000000
χ554-444-4-44-400-40-44400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ564-444-4-44-400-40-4440000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ574-4-444-4-440040-4-44000000000004i−4i0000000000000000000000000000000000000
χ584-4-444-4-440040-4-4400000000000−4i4i0000000000000000000000000000000000000
χ594-4-444-4-4400-4044-40000000000000000000000000000000000000000000002i2−2i2000
χ604-4-444-4-4400-4044-4000000000000000000000000000000000000000000000−2i22i2000
χ614-4-4-4-44440000000000000022−22−222200000000000000000022−222-2-22000000000000000
χ624-4-4-4-44440000000000000022−22−2222000000000000000000−2222-222-2000000000000000
χ634-4-4-4-444400000000000000−222222−2200000000000000000022−22-222-2000000000000000
χ644-4-4-4-444400000000000000−222222−22000000000000000000−22222-2-22000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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