Finite Group Databasebeta

← Group #280934

Character table — Group #280934

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888822224444888888888444444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-1-111-11111-1-111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111111-1-11111-1-1
χ9111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-11111-11-1-111-1-111-1-1-1-111-11
χ11111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-111111111-1-1-11
χ12111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-111-1-1111-1
χ13111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-111-1-111-1-1-1-1-1-111-11
χ14111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-11-1-1-11111-1-111-1-11-1
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-111-1-11111-1-1111-1
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-11111-1-1-11
χ1722222222-2-222-2-2-22222-2-2222200000000-200000-2-2000000000000000
χ1822222222-2-222-2-2-22222-2-2-2-2-2-200000000-20000022000000000000000
χ1922222222-2-222-2-2-2-2-2-2-22222-2-200000000200000-22000000000000000
χ2022222222-2-222-2-2-2-2-2-2-222-2-222000000002000002-2000000000000000
χ21222222-2-222-2-22-2-2000000000022-2-2000002i2i−2i−2i000000002i−2i00000000
χ22222222-2-222-2-22-2-2000000000022-2-200000−2i−2i2i2i00000000−2i2i00000000
χ23222222-2-222-2-22-2-20000000000-2-222000002i2i−2i−2i00000000−2i2i00000000
χ24222222-2-222-2-22-2-20000000000-2-22200000−2i−2i2i2i000000002i−2i00000000
χ252222-2-22-2-2-2-2222-200000000002i−2i2i−2i2i2i−2i−2i00000200-200000000000000
χ262222-2-22-2-2-2-2222-200000000002i−2i2i−2i−2i−2i2i2i00000-200200000000000000
χ272222-2-22-2-2-2-2222-20000000000−2i2i−2i2i2i2i−2i−2i00000-200200000000000000
χ282222-2-22-2-2-2-2222-20000000000−2i2i−2i2i−2i−2i2i2i00000200-200000000000000
χ292222-2-2-22222-2-22-222-2-222000000000000-2000000002i−2i2i−2i0000000000
χ302222-2-2-22222-2-22-222-2-222000000000000-200000000−2i2i−2i2i0000000000
χ312222-2-2-22222-2-22-2-2-222-2-20000000000002000000002i−2i−2i2i0000000000
χ322222-2-2-22222-2-22-2-2-222-2-2000000000000200000000−2i2i2i−2i0000000000
χ332222-2-2-22-2-22-22-2222-2-2-2-200002i−2i−2i2i00002000000000000002i−2i000000
χ342222-2-2-22-2-22-22-2222-2-2-2-20000−2i2i2i−2i0000200000000000000−2i2i000000
χ352222-2-2-22-2-22-22-22-2-2222200002i−2i−2i2i0000-200000000000000−2i2i000000
χ362222-2-2-22-2-22-22-22-2-222220000−2i2i2i−2i0000-2000000000000002i−2i000000
χ3722-2-22-22200-2-20002-22-2002-22-200002−22−202−22−20000000000002−22−200
χ3822-2-22-22200-2-20002-22-2002-22-20000−22−220−22−22000000000000−22−2200
χ3922-2-22-22200-2-20002-22-200-22-2200002−22−202−22−2000000000000−22−2200
χ4022-2-22-22200-2-20002-22-200-22-220000−22−220−22−220000000000002−22−200
χ4122-2-22-22200-2-2000-22-22002-2-2200002−22−20−22−220000000000002−2−2200
χ4222-2-22-22200-2-2000-22-22002-2-220000−22−2202−22−2000000000000−222−200
χ4322-2-22-22200-2-2000-22-2200-222-200002−22−20−22−22000000000000−222−200
χ4422-2-22-22200-2-2000-22-2200-222-20000−22−2202−22−20000000000002−2−2200
χ45444444-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ464444-4-44-444-44-4-4400000000000000000000000000000000000000000
χ4744-4-44-4-4-4004400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4844-4-44-4-4-400440000000000000000000000−2i22i22i2−2i2000000000000000000
χ4944-4-4-444-4004-4000000000000000002i2−2i2−2i22i200000000000000000000000
χ5044-4-4-444-4004-400000000000000000−2i22i22i2−2i200000000000000000000000
χ5144-4-4-44-4400-440004-4-440000000000000000000000000000000000000
χ5244-4-4-44-4400-44000-444-40000000000000000000000000000000000000
χ538-88-800008i−8i0000000000000000000000000000000000000000000000
χ548-88-80000−8i8i0000000000000000000000000000000000000000000000
χ558-8-8800000000000000042−4200000000000000000000000000000000000
χ568-8-88000000000000000−424200000000000000000000000000000000000

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