Finite Group Databasebeta

← Group #295236

Character table — Group #295236

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444222444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1
χ9111111111-1-111111-1-1-11111-11-1-11-11-11-111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-1-11111-11-1-11-11-11-1-1-111-1-111-1-111-11
χ11111111111-1-111111-1-1-11111-1-11-1-11-11-1111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-1-11111-1-11-1-11-11-11-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-1-1-1-111-11-111-1-1111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-1-1-1-111-11-111-1-11-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-1-1-1-11-1111-1-111-111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-1-1-1-11-1111-1-111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-2222-2-2200-200000000000000000000
χ1822222222222-2-2-2-22-2-22-2-222-200200000000000000000000
χ19222222222-2-2-2-2-2-2222-222-2-2-200200000000000000000000
χ20222222222-2-2-2-2-2-2222-2-2-222200-200000000000000000000
χ2122222222-22222-2-2-22-2-2000000002-200-2200000000000000
χ2222222222-22222-2-2-22-2-200000000-22002-200000000000000
χ2322222222-222-2-222-2-22-2000002-2000-220000000000000000
χ2422222222-222-2-222-2-22-200000-220002-20000000000000000
χ2522222222-2-2-222-2-2-2-222000000002200-2-200000000000000
χ2622222222-2-2-222-2-2-2-22200000000-2-2002200000000000000
χ2722222222-2-2-2-2-222-22-220000022000-2-20000000000000000
χ2822222222-2-2-2-2-222-22-2200000-2-2000220000000000000000
χ2922-2-222-2-22002-22-2-20002i−2i2i−2i0000000000002i−2i002-2000000
χ3022-2-222-2-22002-22-2-20002i−2i2i−2i000000000000−2i2i00-22000000
χ3122-2-222-2-22002-22-2-2000−2i2i−2i2i0000000000002i−2i00-22000000
χ3222-2-222-2-22002-22-2-2000−2i2i−2i2i000000000000−2i2i002-2000000
χ3322-2-222-2-2200-22-22-20002i−2i−2i2i00000000002i−2i002-200000000
χ3422-2-222-2-2200-22-22-20002i−2i−2i2i0000000000−2i2i00-2200000000
χ3522-2-222-2-2200-22-22-2000−2i2i2i−2i00000000002i−2i00-2200000000
χ3622-2-222-2-2200-22-22-2000−2i2i2i−2i0000000000−2i2i002-200000000
χ374444-4-4-4-404i−4i0000000000000000000000000000002i−2i2-200
χ384444-4-4-4-404i−4i000000000000000000000000000000−2i2i-2200
χ394444-4-4-4-40−4i4i0000000000000000000000000000002i−2i-2200
χ404444-4-4-4-40−4i4i000000000000000000000000000000−2i2i2-200
χ4144-4-444-4-4-4004-4-4440000000000000000000000000000000
χ4244-4-444-4-4-400-444-440000000000000000000000000000000
χ4388-8-8-8-888000000000000000000000000000000000000000
χ448-88-88-88-8000000000000000000000000000000000000000
χ458-88-8-88-88000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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