Finite Group Databasebeta

← Group #150352

Character table — Group #150352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244444444444444444444444488888888888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-222-2-2000000000000000000000000
χ1822222222222222-2-222-2-2-2-2-2-222000000000000000000000000
χ19222222-2-2-2-2-2-22222-2-2-2-222-2-222000000000000000000000000
χ20222222-2-2-2-2-2-222-2-222-2-22222-2-2000000000000000000000000
χ212-22-22-22i2i−2i−2i2i−2i2-2002i−2i0000002-200000000i2−i22−22−2i2−i200000000
χ222-22-22-22i2i−2i−2i2i−2i2-2002i−2i0000002-200000000−i2i2−22−22−i2i200000000
χ232-22-22-22i2i−2i−2i2i−2i2-200−2i2i000000-22000000002−2−i2i2i2−i2−2200000000
χ242-22-22-22i2i−2i−2i2i−2i2-200−2i2i000000-2200000000−22i2−i2−i2i22−200000000
χ252-22-22-22i2i−2i−2i−2i2i-222-20000002i−2i0000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i
χ262-22-22-22i2i−2i−2i−2i2i-222-20000002i−2i000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i
χ272-22-22-22i2i−2i−2i−2i2i-22-22000000−2i2i0000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i
χ282-22-22-22i2i−2i−2i−2i2i-22-22000000−2i2i000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i
χ292-22-22-2−2i−2i2i2i2i−2i-222-2000000−2i2i0000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i
χ302-22-22-2−2i−2i2i2i2i−2i-222-2000000−2i2i000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i
χ312-22-22-2−2i−2i2i2i2i−2i-22-220000002i−2i0000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i
χ322-22-22-2−2i−2i2i2i2i−2i-22-220000002i−2i000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i
χ332-22-22-2−2i−2i2i2i−2i2i2-2002i−2i000000-22000000002−2i2−i2−i2i2−2200000000
χ342-22-22-2−2i−2i2i2i−2i2i2-2002i−2i000000-2200000000−22−i2i2i2−i22−200000000
χ352-22-22-2−2i−2i2i2i−2i2i2-200−2i2i0000002-200000000i2−i2−22−22i2−i200000000
χ362-22-22-2−2i−2i2i2i−2i2i2-200−2i2i0000002-200000000−i2i22−22−2−i2i200000000
χ374444444444-4-4-4-4000000000000000000000000000000000000
χ38444444-4-4-4-444-4-4000000000000000000000000000000000000
χ394444-4-44-44-4000000000000000000002i−2i2i−2i0000000000000000
χ404444-4-44-44-400000000000000000000−2i2i−2i2i0000000000000000
χ414444-4-4-44-44000000000000000000002i−2i−2i2i0000000000000000
χ424444-4-4-44-4400000000000000000000−2i2i2i−2i0000000000000000
χ434-44-4-444i−4i−4i4i00000000000000002i−2i2-200000000000000000000
χ444-44-4-444i−4i−4i4i0000000000000000−2i2i-2200000000000000000000
χ454-44-4-44−4i4i4i−4i00000000000000002i−2i-2200000000000000000000
χ464-44-4-44−4i4i4i−4i0000000000000000−2i2i2-200000000000000000000
χ4788-8-800000000000000004-40000000000000000000000000000
χ4888-8-80000000000000000-440000000000000000000000000000
χ498-8-88000000000000004i−4i000000000000000000000000000000
χ508-8-8800000000000000−4i4i000000000000000000000000000000

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