Finite Group Databasebeta

← Group #277560

Character table — Group #277560

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-111-1-11-1-111-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-11-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-11111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-11-1-1-111-11111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111-1-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-1111-1-11-1-111-1-1-11
χ172222222222-2-22-2-222222-2-200000000-2-222000000-2-200002000000-200000000
χ182222222222-2-22-2-222222-2-200000000-2-2-2-2000000220000-2000000200000000
χ192222222222-2-22-2-22-2-2-2-2-2-2000000002222000000-2-20000-2000000200000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000000022-2-20000002200002000000-200000000
χ2122222222-2-222-222-20000-2-2222222220000-2-200000000000-2-20000000000000
χ2222222222-2-222-222-20000-2-22222-2-2-2-20000-2-200000000000220000000000000
χ2322222222-2-222-222-20000-2-2-2-2-2-222-2-200002200000000000-220000000000000
χ2422222222-2-222-222-20000-2-2-2-2-2-2-2-222000022000000000002-20000000000000
χ25222-2-2-2-2222-2-2-222-200002-222-2-2000000002-200000000000002i−2i2i−2i000000000
χ26222-2-2-2-2222-2-2-222-200002-222-2-2000000002-20000000000000−2i2i−2i2i000000000
χ27222-2-2-2-2222-2-2-222-200002-2-2-22200000000-2200000000000002i−2i−2i2i000000000
χ28222-2-2-2-2222-2-2-222-200002-2-2-22200000000-220000000000000−2i2i2i−2i000000000
χ29222-2-2-2-22-2-2222-2-2222-2-22-2000000002-200000000002i2i−2i−2i000000002i−2i000000
χ30222-2-2-2-22-2-2222-2-2222-2-22-2000000002-20000000000−2i−2i2i2i00000000−2i2i000000
χ31222-2-2-2-22-2-2222-2-22-2-2222-200000000-2200000000002i2i−2i−2i00000000−2i2i000000
χ32222-2-2-2-22-2-2222-2-22-2-2222-200000000-220000000000−2i−2i2i2i000000002i−2i000000
χ33222-2-2-2-22-2-2-2-2222222-2-2-2222-2-20000-2200-2222-2-20000000000000000000000
χ34222-2-2-2-22-2-2-2-2222222-2-2-22-2-2220000-22002-2-2-2220000000000000000000000
χ35222-2-2-2-22-2-2-2-22222-2-222-2222-2-200002-200-22-2-2220000000000000000000000
χ36222-2-2-2-22-2-2-2-22222-2-222-22-2-22200002-2002-222-2-20000000000000000000000
χ3744444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ38444-4-4-4-444444-4-4-4-40000-440000000000000000000000000000000000000000
χ3944-444-4-4-40000000000000022−2222−2200000022−22000000002-22-20000000000000000
χ4044-444-4-4-40000000000000022−2222−22000000−222200000000-22-220000000000000000
χ4144-444-4-4-400000000000000−2222−222200000022−2200000000-22-220000000000000000
χ4244-444-4-4-400000000000000−2222−2222000000−2222000000002-22-20000000000000000
χ4344-4-4-444-40000000000000022−22−2222000000000000002i2−2i22i−2i−2i2i0000000000000000
χ4444-4-4-444-40000000000000022−22−222200000000000000−2i22i2−2i2i2i−2i0000000000000000
χ4544-4-4-444-400000000000000−222222−22000000000000002i2−2i2−2i2i2i−2i0000000000000000
χ4644-4-4-444-400000000000000−222222−2200000000000000−2i22i22i−2i−2i2i0000000000000000
χ474-444-44-4-44-400400-44-44-4000000000000000000000000000000000000000000
χ484-444-44-4-44-400400-4-44-44000000000000000000000000000000000000000000
χ494-444-44-4-4-4400-4004000000000000000000002i2−2i22i2−2i20000000000000000000000
χ504-444-44-4-4-4400-400400000000000000000000−2i22i2−2i22i20000000000000000000000
χ514-44-44-44-44-400-4004000000000000000000002i2−2i2−2i22i20000000000000000000000
χ524-44-44-44-44-400-400400000000000000000000−2i22i22i2−2i20000000000000000000000
χ534-44-44-44-4-4400400-44-4-44000000000000000000000000000000000000000000
χ544-44-44-44-4-4400400-4-444-4000000000000000000000000000000000000000000
χ554-4-44-4-444004-404-4000000000000000000000000000000000000000000022−2200
χ564-4-44-4-444004-404-40000000000000000000000000000000000000000000−222200
χ574-4-44-4-44400-440-4400000000000004-400000000000000000000000000000000
χ584-4-44-4-44400-440-440000000000000-4400000000000000000000000000000000
χ594-4-4-444-44004-40-44000000000004-40000000000000000000000000000000000
χ604-4-4-444-44004-40-4400000000000-440000000000000000000000000000000000
χ614-4-4-444-4400-4404-40000000000000000000000000000000000000000022−220000
χ624-4-4-444-4400-4404-400000000000000000000000000000000000000000−22220000

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