Finite Group Databasebeta

← Group #469246

Character table — Group #469246

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222222244448888888888161616161616161616161616161616161616161616161616
order12442222222444444444444444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ61111111111111111111111-1-1-1-1-1-1-1-1111-11-1-1-111111111-1-1-1-111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-11-1111-1-11111-1-11111-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111111
χ9111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-11-11-11111-1-111-1-1-1-111-1-1-1-111
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111-1-111-1-111
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-11-11-1-1-1-1-111-1-1-1-1111111-1-111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-11-11111111-1-111-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1
χ1722222-2-22-22-22-222-2-2-20000000022-2-20000000000000000002i−2i2i−2i0000
χ1822222-2-22-22-22-222-2-2-20000000022-2-2000000000000000000−2i2i−2i2i0000
χ1922222-2-22-22-22-222-2-2-200000000-2-2220000000000000000002i−2i−2i2i0000
χ2022222-2-22-22-22-222-2-2-200000000-2-222000000000000000000−2i2i2i−2i0000
χ212222-22-2-222-22-2-2-222-2000022-2-20000000000000000002i−2i2i−2i00000000
χ222222-22-2-222-22-2-2-222-2000022-2-2000000000000000000−2i2i−2i2i00000000
χ232222-22-2-222-22-2-2-222-20000-2-2220000000000000000002i−2i−2i2i00000000
χ242222-22-2-222-22-2-2-222-20000-2-222000000000000000000−2i2i2i−2i00000000
χ252222-2-2-222-22-2-22-22-22222200000000-2-2000000000000000000002-22-2
χ262222-2-2-222-22-2-22-22-22222200000000-2-200000000000000000000-22-22
χ272222-2-2-222-22-2-22-22-22-2-2-2-20000000022000000000000000000002-2-22
χ282222-2-2-222-22-2-22-22-22-2-2-2-2000000002200000000000000000000-222-2
χ2922-2-222-2-2-2-22222-22-2-222-2-22i−2i2i−2i2i−2i2i−2i2-2000000000000000000000000
χ3022-2-222-2-2-2-22222-22-2-222-2-2−2i2i−2i2i−2i2i−2i2i2-2000000000000000000000000
χ3122-2-222-2-2-2-22222-22-2-2-2-2222i−2i2i−2i−2i2i−2i2i-22000000000000000000000000
χ3222-2-222-2-2-2-22222-22-2-2-2-222−2i2i−2i2i2i−2i2i−2i-22000000000000000000000000
χ3322-2-22-22-22-2-22-22-2-222000000002i−2i−2i2i00020-2002i−2i0000000000000000
χ3422-2-22-22-22-2-22-22-2-222000000002i−2i−2i2i000-20200−2i2i0000000000000000
χ3522-2-22-22-22-2-22-22-2-22200000000−2i2i2i−2i00020-200−2i2i0000000000000000
χ3622-2-22-22-22-2-22-22-2-22200000000−2i2i2i−2i000-202002i−2i0000000000000000
χ3722-2-2-2222-2-2-22-2-222-2200002i−2i−2i2i00000020-202i−2i000000000000000000
χ3822-2-2-2222-2-2-22-2-222-2200002i−2i−2i2i000000-2020−2i2i000000000000000000
χ3922-2-2-2222-2-2-22-2-222-220000−2i2i2i−2i00000020-20−2i2i000000000000000000
χ4022-2-2-2222-2-2-22-2-222-220000−2i2i2i−2i000000-20202i−2i000000000000000000
χ4122-2-2-2-22-2-222-2-22222-222-2-200000000-22000000002-22-2000000000000
χ4222-2-2-2-22-2-222-2-22222-222-2-200000000-2200000000-22-22000000000000
χ4322-2-2-2-22-2-222-2-22222-2-2-222000000002-2000000002-2-22000000000000
χ4422-2-2-2-22-2-222-2-22222-2-2-222000000002-200000000-222-2000000000000
χ45444444-4-4-4-44-4-4-44-44400000000000000000000000000000000000000
χ4644444-44-44-4-4-44-444-4-400000000000000000000000000000000000000
χ474444-4444-4-4-4-444-4-44-400000000000000000000000000000000000000
χ484444-4-44-4-44444-4-4-4-4400000000000000000000000000000000000000
χ4944-4-44444444-4-4-4-4-4-4-400000000000000000000000000000000000000
χ5044-4-44-4-44-44-4-44-4-444400000000000000000000000000000000000000
χ5144-4-4-44-4-444-4-4444-4-4400000000000000000000000000000000000000
χ5244-4-4-4-4-444-4444-44-44-400000000000000000000000000000000000000
χ538-88i−8i000000000000004-44i−4i0000000000000000000000000000000000
χ548-88i−8i00000000000000-44−4i4i0000000000000000000000000000000000
χ558-8−8i8i000000000000004-4−4i4i0000000000000000000000000000000000
χ568-8−8i8i00000000000000-444i−4i0000000000000000000000000000000000

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