Finite Group Databasebeta

← Group #152125

Character table — Group #152125

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size112224444888888888888816161616161616163232323232323232
order12222444424444444488882224448888888888
χ111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−i
χ611111111111111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii
χ711111111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i
χ9111111111-1-11-1-11111111111-1-1-1-1-1-11-11-11-11-1
χ10111111111-1-11-1-11111111111-1-1-1-1-1-1-11-11-11-11
χ11111111111-1-11-1-11111-1-1-1-1-1-111-1-1111-11-1-11-11
χ12111111111-1-11-1-11111-1-1-1-1-1-111-1-111-11-111-11-1
χ13111111111-1-11-1-1-1-1-1-11111-1-11111-1-1i−i−iii−i−ii
χ14111111111-1-11-1-1-1-1-1-11111-1-11111-1-1−iii−i−iii−i
χ15111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-11111i−i−ii−iii−i
χ16111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-11111−iii−ii−i−ii
χ17222222-2-2222-2-2-222-2-2000000002-20000000000
χ18222222-2-2222-2-2-2-2-22200000000-220000000000
χ19222222-2-22-2-2-22222-2-200000000-220000000000
χ20222222-2-22-2-2-222-2-222000000002-20000000000
χ2122-2-22-222200-2002-22-20000002-2002-200000000
χ2222-2-22-222200-2002-22-2000000-2200-2200000000
χ2322-2-22-222200-200-22-220000002-200-2200000000
χ2422-2-22-222200-200-22-22000000-22002-200000000
χ2522-2-22-2-2-22002002-2-2222-2-22-200000000000000
χ2622-2-22-2-2-22002002-2-22-2-222-2200000000000000
χ2722-2-22-2-2-2200200-222-222-2-2-2200000000000000
χ2822-2-22-2-2-2200200-222-2-2-2222-200000000000000
χ2944444-400-40004-4000000000000000000000000
χ3044444-400-4000-44000000000000000000000000
χ3144-4-44400-44-4000000000000000000000000000
χ3244-4-44400-4-44000000000000000000000000000
χ33888-8-8000000000000000000000000000000000
χ3488-88-8000000000000000000000000000000000
χ358-800004-400000000002i2−2i22i2−2i20000000000000000
χ368-800004-40000000000−2i22i2−2i22i20000000000000000
χ378-80000-4400000000002i2−2i2−2i22i20000000000000000
χ388-80000-440000000000−2i22i22i2−2i20000000000000000

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