Finite Group Databasebeta

← Group #283653

Character table — Group #283653

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444448888888888888816161616161616161616161616161616163232
order12222244444444444448888244444888888884444448888888888848
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-11-11-1-11-1-1-11-1-1-1-111-11
χ411111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-11111-1-11-1
χ51111111111111111111-1-1-1-1111111-1-1-1-1-1-111-11-1111-11-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111-1-1
χ71111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-11
χ81111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1111-1111-1-1-1-1111-1
χ911111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-11-11111-111111-1-1-1-1-1-1
χ1011111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ1111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-1-111-1-11-1
χ1211111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-11-111-11-1-1-111-1-111-11
χ1311111111111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1
χ1411111111111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-11-11-1-1-11-1-1-1111-1-1-1-111
χ1511111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-11-11-1-1-1111-111-1-1111-1
χ1611111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-111-1-1-11
χ17222222-22222-2-2-22222-2000022-2-2-2-2000000-2-20000000200000000000
χ18222222-22222-2-2-22222-20000-2-222-2-2000000220000000-200000000000
χ19222222-22222-2-2-2-2-2-2-2-2000022-2-222000000220000000-200000000000
χ20222222-22222-2-2-2-2-2-2-2-20000-2-22222000000-2-20000000200000000000
χ21222222-2-2-2-2-2-22-2000022i2i−2i−2i00000000002i−2i0000002-2000002i−2i000000
χ22222222-2-2-2-2-2-22-2000022i2i−2i−2i00000000002i−2i000000-2200000−2i2i000000
χ23222222-2-2-2-2-2-22-200002−2i−2i2i2i0000000000−2i2i0000002-200000−2i2i000000
χ24222222-2-2-2-2-2-22-200002−2i−2i2i2i0000000000−2i2i000000-22000002i−2i000000
χ252222-2-2222-2-22-2-20000200002-2-220022-2-2000020-20000000000000000
χ262222-2-2222-2-22-2-20000200002-2-2200-2-2220000-2020000000000000000
χ272222-2-2222-2-22-2-2000020000-222-20022-2-20000-2020000000000000000
χ282222-2-2222-2-22-2-2000020000-222-200-2-222000020-20000000000000000
χ292222-2-22-2-22222-20000-222220000000000-2-200020-2002000-200000000
χ302222-2-22-2-22222-20000-222220000000000-2-2000-20200-2000200000000
χ312222-2-22-2-22222-20000-2-2-2-2-200000000002200020-200-2000200000000
χ322222-2-22-2-22222-20000-2-2-2-2-2000000000022000-202002000-200000000
χ332222-2-2-222-2-2-2220000-22i2i−2i−2i2-22-2000000−2i2i00000000002i−2i000000000
χ342222-2-2-222-2-2-2220000-22i2i−2i−2i-22-22000000−2i2i0000000000−2i2i000000000
χ352222-2-2-222-2-2-2220000-2−2i−2i2i2i2-22-20000002i−2i0000000000−2i2i000000000
χ362222-2-2-222-2-2-2220000-2−2i−2i2i2i-22-220000002i−2i00000000002i−2i000000000
χ374444444-4-4-4-44-440000-40000000000000000000000000000000000000
χ384444-4-4-4-4-444-4-44000040000000000000000000000000000000000000
χ3944-4-44-404-44-400000000000000000000000000000000000000022−220000
χ4044-4-44-404-44-4000000000000000000000000000000000000000−22220000
χ4144-4-44-40-44-4400044-4-400000000000000000000000000000000000000
χ4244-4-44-40-44-44000-4-44400000000000000000000000000000000000000
χ4344-4-4-4404-4-440000000000000000000000000000000000000000022−2200
χ4444-4-4-4404-4-4400000000000000000000000000000000000000000−222200
χ4544-4-4-440-444-40000000000000000000000004-40000000000000000000
χ4644-4-4-440-444-4000000000000000000000000-440000000000000000000
χ474-4-440040000-4002-22-202i2−2i22i2−2i200002-22i2−2i20000000000000000000000000
χ484-4-440040000-4002-22-20−2i22i2−2i22i200002-2−2i22i20000000000000000000000000
χ494-4-440040000-400-22-2202i2−2i22i2−2i20000-22−2i22i20000000000000000000000000
χ504-4-440040000-400-22-220−2i22i2−2i22i20000-222i2−2i20000000000000000000000000
χ514-4-4400-400004002-22-2022−22−22220000-220022−2200000000000000000000000
χ524-4-4400-400004002-22-20−222222−220000-2200−222200000000000000000000000
χ534-4-4400-40000400-22-22022−22−222200002-200−222200000000000000000000000
χ544-4-4400-40000400-22-220−222222−2200002-20022−2200000000000000000000000
χ558-88-800000000004-4-4400000000000000000000000000000000000000
χ568-88-80000000000-444-400000000000000000000000000000000000000

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