Finite Group Databasebeta

← Group #285158

Character table — Group #285158

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444444444888888884444488888888888824444888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111-1-11111111111-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11111
χ511111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1111-1-1111-1-1-1-1-11-1
χ611111111111111111-1-1-1-11111-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-111111-11
χ711111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-1-111-11
χ811111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-111111-1-11-1
χ91111111111111-1-1111111111111-1-1-1111111-1-11111-1-1-1-11-1-1-1111-1-111-1-1
χ101111111111111-1-11111111111-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-111-1-111
χ111111111111111-1-1111111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-11-1-11-1-11-1-1-1-111
χ121111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-11111-1-1
χ131111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-111-111-1-1-11
χ141111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-11-1-1111-1
χ151111111111111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-111111-1
χ161111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1111111-1-1-1-1-11
χ172222222-222-22-200-2-222220000220000022-2-20000000000-200000-2000000
χ182222222-222-22-200-2-222220000-2-200000-2-2-2-200000000002000002000000
χ192222222-222-22-200-2-2-2-2-2-200002200000-2-2220000000000-2000002000000
χ202222222-222-22-200-2-2-2-2-2-20000-2-20000022220000000000200000-2000000
χ21222222-22-2-22-2222-2-22i2i−2i−2i000000-2-2200002i−2i000000000002i−2i0000000000
χ22222222-22-2-22-2222-2-2−2i−2i2i2i000000-2-220000−2i2i00000000000−2i2i0000000000
χ23222222-22-2-22-22-2-2-2-22i2i−2i−2i00000022-200002i−2i00000000000−2i2i0000000000
χ24222222-22-2-22-22-2-2-2-2−2i−2i2i2i00000022-20000−2i2i000000000002i−2i0000000000
χ25222222-2-2-2-2-2-2-200222i2i−2i−2i0000000000000−2i2i000000002-200000002i−2i0000
χ26222222-2-2-2-2-2-2-200222i2i−2i−2i0000000000000−2i2i00000000-220000000−2i2i0000
χ27222222-2-2-2-2-2-2-20022−2i−2i2i2i00000000000002i−2i000000002-20000000−2i2i0000
χ28222222-2-2-2-2-2-2-20022−2i−2i2i2i00000000000002i−2i00000000-2200000002i−2i0000
χ292222-2-222-2-222-2222-200000000002-2-222000000-2-2002-2000000000000000
χ302222-2-222-2-222-2222-200000000002-2-2-2-20000002200-22000000000000000
χ312222-2-222-2-222-2-2-22-20000000000-22222000000-2-200-22000000000000000
χ322222-2-222-2-222-2-2-22-20000000000-222-2-200000022002-2000000000000000
χ332222-2-2-22222-2-222-220000222200-22-20000002200-2-20000000-2000000000
χ342222-2-2-22222-2-222-220000-2-2-2-200-22-2000000-2-2002200000002000000000
χ352222-2-2-22222-2-2-2-2-2200002222002-22000000-2-200-2-200000002000000000
χ362222-2-2-22222-2-2-2-2-220000-2-2-2-2002-220000002200220000000-2000000000
χ3722-2-22-2-202-202000002i−2i2i−2i22−2−22-2000i2−i22i−2i0000i2−i22−2000000002−2000i2−i200
χ3822-2-22-2-202-202000002i−2i2i−2i22−2−2-22000i2−i2−2i2i0000i2−i22−200000000−22000−i2i200
χ3922-2-22-2-202-202000002i−2i2i−2i−2−2222-2000−i2i22i−2i0000−i2i2−2200000000−22000−i2i200
χ4022-2-22-2-202-202000002i−2i2i−2i−2−222-22000−i2i2−2i2i0000−i2i2−22000000002−2000i2−i200
χ4122-2-22-2-202-20200000−2i2i−2i2i22−2−22-2000−i2i2−2i2i0000−i2i22−2000000002−2000−i2i200
χ4222-2-22-2-202-20200000−2i2i−2i2i22−2−2-22000−i2i22i−2i0000−i2i22−200000000−22000i2−i200
χ4322-2-22-2-202-20200000−2i2i−2i2i−2−2222-2000i2−i2−2i2i0000i2−i2−2200000000−22000i2−i200
χ4422-2-22-2-202-20200000−2i2i−2i2i−2−222-22000i2−i22i−2i0000i2−i2−22000000002−2000−i2i200
χ454444-4-44-4-4-4-44400-44000000000000000000000000000000000000000000
χ464444-4-4-4-444-4-44004-4000000000000000000000000000000000000000000
χ4744-4-44-440-440-4000004-4-4400000000000000000000000000000000000000
χ4844-4-44-440-440-400000-444-400000000000000000000000000000000000000
χ4944-4-4-44404-40-40000000002222−22−22000000000000000−222200000000000000000
χ5044-4-4-44404-40-4000000000−22−22222200000000000000022−2200000000000000000
χ5144-4-4-44-40-44040000000000000000002i2−2i2000000−2i22i20000000000000000000
χ5244-4-4-44-40-4404000000000000000000−2i22i20000002i2−2i20000000000000000000
χ534-44-4000-4004004i−4i0000002i2−2i22i2−2i20000000000022−22000000000000000000000
χ544-44-4000-4004004i−4i000000−2i22i2−2i22i200000000000−2222000000000000000000000
χ554-44-4000-400400−4i4i0000002i2−2i22i2−2i200000000000−2222000000000000000000000
χ564-44-4000-400400−4i4i000000−2i22i2−2i22i20000000000022−22000000000000000000000
χ578-88-8000800-8000000000000000000000000000000000000000000000000
χ588-8-88000000000000000004i−4i−4i4i0000000000000000000000000000000000
χ598-8-8800000000000000000−4i4i4i−4i0000000000000000000000000000000000

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