Finite Group Databasebeta

← Group #337338

Character table — Group #337338

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11-1-11-11-1-1-1-1-1-1-111
χ311111111111111111111111111-1-11111111111111111-1-1-1-11-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-11-1-1
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1
χ61111111111111111111111-1-1-1-111-1-1111111-1-1-1-111111-1-11-111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-111111-11
χ11111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11111-1-1-111-1-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-1-11111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11111-1-11
χ17222222222-2-222-22-2-2-2000022-2-200220022-2-2000000000000-20000000000
χ18222222222-2-222-22-2-2-2000022-2-200-2-200-2-22200000000000020000000000
χ19222222222-2-222-22-2-2-20000-2-222002200-2-222000000000000-20000000000
χ20222222222-2-222-22-2-2-20000-2-22200-2-20022-2-200000000000020000000000
χ2122222222-222-2-22-22-2-2222200002200-2-2000000000000-200-202000000000
χ2222222222-222-2-22-22-2-222220000-2-200-2-200000000000020020-2000000000
χ2322222222-222-2-22-22-2-2-2-2-2-20000220022000000000000200-20-2000000000
χ2422222222-222-2-22-22-2-2-2-2-2-20000-2-20022000000000000-200202000000000
χ2522-22-22-2-2-2002-20200022−2−22-200002i−2i2−22i−2i0022−2−2i2i2−i2−i20000000000i2−i2000
χ2622-22-22-2-2-2002-20200022−2−22-20000−2i2i2−2−2i2i0022−2−2−i2−i2i2i20000000000−i2i2000
χ2722-22-22-2-2-2002-20200022−2−2-2200002i−2i2−2−2i2i00−2−222−i2−i2i2i20000000000i2−i2000
χ2822-22-22-2-2-2002-20200022−2−2-220000−2i2i2−22i−2i00−2−222i2i2−i2−i20000000000−i2i2000
χ2922-22-22-2-2-2002-202000−2−2222-200002i−2i−222i−2i00−2−222−i2−i2i2i20000000000−i2i2000
χ3022-22-22-2-2-2002-202000−2−2222-20000−2i2i−22−2i2i00−2−222i2i2−i2−i20000000000i2−i2000
χ3122-22-22-2-2-2002-202000−2−222-2200002i−2i−22−2i2i0022−2−2i2i2−i2−i20000000000−i2i2000
χ3222-22-22-2-2-2002-202000−2−222-220000−2i2i−222i−2i0022−2−2−i2−i2i2i20000000000i2−i2000
χ3322-2-22-22-2-2-2-2222-222-20000000000000000002-22-2000002i−2i000002i−2i00000
χ3422-2-22-22-2-2-2-2222-222-20000000000000000002-22-200000−2i2i00000−2i2i00000
χ3522-2-22-22-2-2-2-2222-222-2000000000000000000-22-22000002i−2i00000−2i2i00000
χ3622-2-22-22-2-2-2-2222-222-2000000000000000000-22-2200000−2i2i000002i−2i00000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-444004-40-400000000000000000000022−22−22220000000000000000000
χ39444-4-4-4-444004-40-4000000000000000000000−222222−220000000000000000000
χ40444-4-4-4-44-400-44040000000004i−4i000000000000000000000000000000000
χ41444-4-4-4-44-400-4404000000000−4i4i000000000000000000000000000000000
χ4244-44-44-4-4400-440-40002222−22−2200000000−2222000000000000000000000000000
χ4344-44-44-4-4400-440-4000−22−2222220000000022−22000000000000000000000000000
χ4444-4-44-44-4444-4-4-44-44-400000000000000000000000000000000000000000
χ4544-4-44-44-44-4-4-4-4444-4400000000000000000000000000000000000000000
χ4644-4-44-44-4-44444-4-4-4-4400000000000000000000000000000000000000000
χ474-4444-4-4-404-40040-4000000000000000000000000000000000022−220000000
χ484-4444-4-4-404-40040-40000000000000000000000000000000000−22220000000
χ494-4444-4-4-40-4400-40400000000004i−4i0000000000000000000000000000000
χ504-4444-4-4-40-4400-4040000000000−4i4i0000000000000000000000000000000
χ514-44-4-444-400000000002i2−2i22i2−2i200000000000022−2200002i−2i2i−2i000000000000000
χ524-44-4-444-400000000002i2−2i22i2−2i2000000000000−22220000−2i2i−2i2i000000000000000
χ534-44-4-444-40000000000−2i22i2−2i22i200000000000022−220000−2i2i−2i2i000000000000000
χ544-44-4-444-40000000000−2i22i2−2i22i2000000000000−222200002i−2i2i−2i000000000000000
χ554-4-4-444-4404-400-40400000000000000000000000022−22−2222000000000000000
χ564-4-4-444-4404-400-404000000000000000000000000−222222−22000000000000000
χ574-4-4-444-440-440040-4004i−4i−4i4i0000000000000000000000000000000000000
χ584-4-4-444-440-440040-400−4i4i4i−4i0000000000000000000000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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