Finite Group Databasebeta

← Group #260837

Character table — Group #260837

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-11-111-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1-1-11-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-11-1-1-11-1-111-111111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-11-1-1-11-1-111-11-1-1-1-111111111-1-1-1-1
χ9111111111-1-11-1-11111-11111-1-11-111-11-1-1-111-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-11111-1-11-111-11-1-1-1-1-111-1-111-1-111-1-111
χ11111111111-1-11-1-11111-11111-1-1-11-1-11-11-1111-1-111-1-1-1-111-1-111
χ12111111111-1-11-1-11111-11111-1-1-11-1-11-11-11-1-111-1-11111-1-111-1-1
χ13111111111-1-11-1-11111-1-1-1-1-1-111-1-11-1-111111-1-1-1-11111-1-1-1-111
χ14111111111-1-11-1-11111-1-1-1-1-1-111-1-11-1-1111-1-11111-1-1-1-11111-1-1
χ15111111111-1-11-1-11111-1-1-1-1-1-11-111-111-11-111-1-1-1-111-1-11111-1-1
χ16111111111-1-11-1-11111-1-1-1-1-1-11-111-111-11-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-22-220000-2000200-2-2020000000000000000
χ1822222222222-2-2-2-2-22-220000-2000-200220-20000000000000000
χ19222222222-2-2-222-2-22-2-200002000200-220-20000000000000000
χ20222222222-2-2-222-2-22-2-200002000-2002-2020000000000000000
χ2122222222-222222-2-2-22-20000-202-20-2200000000000000000000
χ2222222222-222222-2-2-22-20000-20-2202-200000000000000000000
χ2322222222-222-2-2-222-2-2-222-2-2220000000-200000000000000000
χ2422222222-222-2-2-222-2-2-2-2-2222-20000000200000000000000000
χ2522222222-2-2-22-2-2-2-2-222000020220-2-200000000000000000000
χ2622222222-2-2-22-2-2-2-2-222000020-2-202200000000000000000000
χ2722222222-2-2-2-22222-2-2222-2-2-2-20000000200000000000000000
χ2822222222-2-2-2-22222-2-22-2-222-220000000-200000000000000000
χ2922-22-2-22-2200-2002-2-2202i−2i2i−2i00000000000002-2002i−2i00000000
χ3022-22-2-22-2200-2002-2-2202i−2i2i−2i0000000000000-2200−2i2i00000000
χ3122-22-2-22-2200-2002-2-220−2i2i−2i2i00000000000002-200−2i2i00000000
χ3222-22-2-22-2200-2002-2-220−2i2i−2i2i0000000000000-22002i−2i00000000
χ3322-22-2-22-2-2002002-22-202i−2i−2i2i000000000002i−2i002-20000000000
χ3422-22-2-22-2-2002002-22-202i−2i−2i2i00000000000−2i2i00-220000000000
χ3522-22-2-22-2-2002002-22-20−2i2i2i−2i000000000002i−2i00-220000000000
χ3622-22-2-22-2-2002002-22-20−2i2i2i−2i00000000000−2i2i002-20000000000
χ3744-44-4-44-4400400-44-4-400000000000000000000000000000000
χ3844-44-4-44-4-400-400-444400000000000000000000000000000000
χ3944-4-44-4-4404i−4i000000000000000000000000000000000002i−2i2-2
χ4044-4-44-4-4404i−4i00000000000000000000000000000000000−2i2i-22
χ4144-4-44-4-440−4i4i000000000000000000000000000000000002i−2i-22
χ4244-4-44-4-440−4i4i00000000000000000000000000000000000−2i2i2-2
χ434-4444-4-4-400004-400000000000000000000000000002i−2i2i−2i0000
χ444-4444-4-4-400004-40000000000000000000000000000−2i2i−2i2i0000
χ454-4444-4-4-40000-4400000000000000000000000000002i−2i−2i2i0000
χ464-4444-4-4-40000-440000000000000000000000000000−2i2i2i−2i0000
χ47888-8-88-8-8000000000000000000000000000000000000000000
χ488-88-8-8-888000000000000000000000000000000000000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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