Finite Group Databasebeta

← Group #484175

Character table — Group #484175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111111122224444888888888888888888881616161616161616161616161616161616161616
order12224444224422442244444444444444444422224444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111-1111-111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-11-1-1-11111-1-1-1-11111
χ71111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-11-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111-11-1-111-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111-1-11-11-11-1-111-1-111-1-111
χ111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-111-11-11-111-1-1-1-111-1-111
χ121111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-11-111-1-11-1-11111-1-111-1-1
χ131111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111-1-1-11-1-1-11111-1-1-1-111
χ141111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-11-1-1-1111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-11-1111-1-1-111-1-11111-1-1
χ161111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1111-1111-1-111-1-1-1-111
χ17222222222222222222-2-222-2-2-2-200000000-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2222200000000-2-200000000000000000000
χ19222222222222-2-2-2-2002-2000000000022222-20-2000-200000000000000
χ20222222222222-2-2-2-2002-20000000000-2-2-2-22-202000200000000000000
χ21222222222222-2-2-2-200-2200000022220000-22-2000-2000000000000000
χ22222222222222-2-2-2-200-22000000-2-2-2-20000-2220002000000000000000
χ232222-2-2-2-222-2-222-2-2002-200000022-2-20000-22-20002000000000000000
χ242222-2-2-2-222-2-222-2-2002-2000000-2-2220000-222000-2000000000000000
χ252222-2-2-2-222-2-222-2-200-22000000000022-2-22-202000-200000000000000
χ262222-2-2-2-222-2-222-2-200-220000000000-2-2222-20-2000200000000000000
χ272222-2-2-2-222-2-2-2-2222222-2-2-2-22200000000-2-200000000000000000000
χ282222-2-2-2-222-2-2-2-222-2-2222222-2-200000000-2-200000000000000000000
χ292-2-2222-2-2-222-22-2-222-2002-2000000000000000000000000002−22−22−22−2
χ302-2-2222-2-2-222-22-2-222-2002-200000000000000000000000000−22−22−22−22
χ312-2-2222-2-2-222-22-2-22-2200-22000000000000000000000000002−22−2−22−22
χ322-2-2222-2-2-222-22-2-22-2200-2200000000000000000000000000−22−222−22−2
χ332-2-22-2-222-22-22-22-222-200-22000000000000000000000000002−2−222−2−22
χ342-2-22-2-222-22-22-22-222-200-2200000000000000000000000000−222−2−222−2
χ352-2-22-2-222-22-22-22-22-22002-2000000000000000000000000002−2−22−222−2
χ362-2-22-2-222-22-22-22-22-22002-200000000000000000000000000−222−22−2−22
χ3744444444-4-4-4-4000000000000000000000000002-200-22000000000000
χ3844444444-4-4-4-400000000000000000000000000-22002-2000000000000
χ394444-4-4-4-4-4-444000000000000000000000000002200-2-2000000000000
χ404444-4-4-4-4-4-44400000000000000000000000000-2-20022000000000000
χ4144-4-44i−4i4i−4i000000000000002i−2i2-22i−2i2-22-22i−2i0000000000000000000000
χ4244-4-44i−4i4i−4i000000000000002i−2i2-2−2i2i-22-22−2i2i0000000000000000000000
χ4344-4-44i−4i4i−4i00000000000000−2i2i-222i−2i2-2-22−2i2i0000000000000000000000
χ4444-4-44i−4i4i−4i00000000000000−2i2i-22−2i2i-222-22i−2i0000000000000000000000
χ4544-4-4−4i4i−4i4i000000000000002i−2i-222i−2i-222-2−2i2i0000000000000000000000
χ4644-4-4−4i4i−4i4i000000000000002i−2i-22−2i2i2-2-222i−2i0000000000000000000000
χ4744-4-4−4i4i−4i4i00000000000000−2i2i2-22i−2i-22-222i−2i0000000000000000000000
χ4844-4-4−4i4i−4i4i00000000000000−2i2i2-2−2i2i2-22-2−2i2i0000000000000000000000
χ494-4-4444-4-44-4-44000000000000000000000000000000002-22-200000000
χ504-4-4444-4-44-4-4400000000000000000000000000000000-22-2200000000
χ514-4-4444-4-4-444-4-444-40000000000000000000000000000000000000000
χ524-4-44-4-4444-44-4000000000000000000000000000000002-2-2200000000
χ534-4-44-4-4444-44-400000000000000000000000000000000-222-200000000
χ544-4-44-4-444-44-444-44-40000000000000000000000000000000000000000
χ558-88-88i−8i−8i8i000000000000000000000000000000000000000000000000
χ568-88-8−8i8i8i−8i000000000000000000000000000000000000000000000000

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