Finite Group Databasebeta

← Group #484152

Character table — Group #484152

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222244444444444488888888888888888888161616161616161616161616161616161616
order12224444224422222244444422224444444444444444224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111
χ51111111111111-1-1-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-11-11-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-111-1-1-111-1-111-1-111
χ111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-11-11-111-1-1-1-111-1-111
χ121111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-11-111-1-1-11111-1-111-1-1
χ131111-1-1-1-111-1-11-1-1-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-11-1-11111-1-1-1-111
χ141111-1-1-1-111-1-11-1-1-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-11-1-1-1-11-1-11111-1-111-1-111-1-1-1-11111-1-1111-11-1-11-1-111-1-11111-1-1
χ161111-1-1-1-111-1-11-1-1-1-11-1-11111-1-111-1-111-1-1-1-11111-1-111-11-11-1111-1-111-1-1-1-111
χ172222222222222222222222220000-2-2000000000000-2-20000-2-2000000000000
χ182222222222222-2-2-2-2222-2-2-2-20000-2-2000000000000-2-2000022000000000000
χ19222222222222-20000-2-2-2000000222-200220000-2-2-2-22-2000000000000000000
χ20222222222222-20000-2-2-2000000-2-22-200-2-2000022222-2000000000000000000
χ21222222222222-20000-2-2-200002200-222200-2-2-2-20000-22000000000000000000
χ22222222222222-20000-2-2-20000-2-200-22-2-20022220000-22000000000000000000
χ232222-2-2-2-222-2-2222222-2-2-2-2-2-2000022000000000000-2-20000-22000000000000
χ242222-2-2-2-222-2-22-2-2-2-22-2-22222000022000000000000-2-200002-2000000000000
χ252222-2-2-2-222-2-2-20000-22200000022-2200-2-20000-2-2222-2000000000000000000
χ262222-2-2-2-222-2-2-20000-222000000-2-2-220022000022-2-22-2000000000000000000
χ272222-2-2-2-222-2-2-20000-222000022002-2-2-200-2-2220000-22000000000000000000
χ282222-2-2-2-222-2-2-20000-2220000-2-2002-2220022-2-20000-22000000000000000000
χ292-2-2222-2-2-222-2-222-2-222-222-2-20000000000000000000000000000002−22−22−22−2
χ302-2-2222-2-2-222-2-222-2-222-222-2-2000000000000000000000000000000−22−22−22−22
χ312-2-2222-2-2-222-2-2-2-22222-2-2-2220000000000000000000000000000002−22−2−22−22
χ322-2-2222-2-2-222-2-2-2-22222-2-2-222000000000000000000000000000000−22−222−22−2
χ332-2-22-2-222-22-22-222-2-22-22-2-2220000000000000000000000000000002−2−222−2−22
χ342-2-22-2-222-22-22-222-2-22-22-2-222000000000000000000000000000000−222−2−222−2
χ352-2-22-2-222-22-22-2-2-2222-2222-2-20000000000000000000000000000002−2−22−222−2
χ362-2-22-2-222-22-22-2-2-2222-2222-2-2000000000000000000000000000000−222−22−2−22
χ3744444444-4-4-4-4000000000000000000000000000000002-2-2200000000000000
χ3844444444-4-4-4-400000000000000000000000000000000-222-200000000000000
χ394444-4-4-4-4-4-4440000000000000000000000000000000022-2-200000000000000
χ404444-4-4-4-4-4-44400000000000000000000000000000000-2-22200000000000000
χ4144-4-44i−4i4i−4i000002-22-20002i−2i2i−2i002-200002i−2i2-22i−2i000000000000000000000000
χ4244-4-44i−4i4i−4i000002-22-20002i−2i2i−2i00-220000−2i2i-22−2i2i000000000000000000000000
χ4344-4-44i−4i4i−4i00000-22-22000−2i2i−2i2i002-200002i−2i-22−2i2i000000000000000000000000
χ4444-4-44i−4i4i−4i00000-22-22000−2i2i−2i2i00-220000−2i2i2-22i−2i000000000000000000000000
χ4544-4-4−4i4i−4i4i000002-22-2000−2i2i−2i2i002-20000−2i2i2-2−2i2i000000000000000000000000
χ4644-4-4−4i4i−4i4i000002-22-2000−2i2i−2i2i00-2200002i−2i-222i−2i000000000000000000000000
χ4744-4-4−4i4i−4i4i00000-22-220002i−2i2i−2i002-20000−2i2i-222i−2i000000000000000000000000
χ4844-4-4−4i4i−4i4i00000-22-220002i−2i2i−2i00-2200002i−2i2-2−2i2i000000000000000000000000
χ494-44-44i−4i−4i4i000002-2-220002i−2i−2i2i2-200002i−2i0000002-22i−2i00000000000000000000
χ504-44-44i−4i−4i4i000002-2-220002i−2i−2i2i-220000−2i2i000000-22−2i2i00000000000000000000
χ514-44-44i−4i−4i4i00000-222-2000−2i2i2i−2i2-200002i−2i000000-22−2i2i00000000000000000000
χ524-44-44i−4i−4i4i00000-222-2000−2i2i2i−2i-220000−2i2i0000002-22i−2i00000000000000000000
χ534-44-4−4i4i4i−4i000002-2-22000−2i2i2i−2i2-20000−2i2i0000002-2−2i2i00000000000000000000
χ544-44-4−4i4i4i−4i000002-2-22000−2i2i2i−2i-2200002i−2i000000-222i−2i00000000000000000000
χ554-44-4−4i4i4i−4i00000-222-20002i−2i−2i2i2-20000−2i2i000000-222i−2i00000000000000000000
χ564-44-4−4i4i4i−4i00000-222-20002i−2i−2i2i-2200002i−2i0000002-2−2i2i00000000000000000000
χ574-4-4444-4-44-4-44000000000000000000000000000000000000002-22-200000000
χ584-4-4444-4-44-4-4400000000000000000000000000000000000000-22-2200000000
χ594-4-4444-4-4-444-440000-4-44000000000000000000000000000000000000000000
χ604-4-44-4-4444-44-4000000000000000000000000000000000000002-2-2200000000
χ614-4-44-4-4444-44-400000000000000000000000000000000000000-222-200000000
χ624-4-44-4-444-44-4440000-44-4000000000000000000000000000000000000000000

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