Finite Group Databasebeta

← Group #150293

Character table — Group #150293

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244442244224444444444444488888888888888888888
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
χ511111111111111-1-1-1-1-11111-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111-1-1-1-1-11111-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111-1-1-1-1-11111-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111-1-1-1-1-11111-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-1-1-11111-11111-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111-1-1-1-1-1-11111-11111-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111-1-1-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111-1-1-1-1-1-111-1-11-1-111-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111-1-1-1-1-1-111-1-11-1-111-1-1111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111-1-1-1-1-1-111-1-11-1-111-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222-2-2-2-2-2-2-2-22000000000000000000000000
χ1822222222222222-2-2-222-2-2-2-222-2000000000000000000000000
χ19222222-2-2-2-2-2-22222-2-2-2-2-22222-2000000000000000000000000
χ20222222-2-2-2-2-2-222-2-2222-2-222-2-22000000000000000000000000
χ212-22-22-222-2-22-22-22-2200000000-2000000002−22−22−22−200000000
χ222-22-22-222-2-22-22-22-2200000000-200000000−22−22−22−2200000000
χ232-22-22-222-2-22-22-2-22-200000000200000000i2−i2i2−i2−i2i2−i2i200000000
χ242-22-22-222-2-22-22-2-22-200000000200000000−i2i2−i2i2i2−i2i2−i200000000
χ252-22-22-222-2-2-22-220002i−2i00002i−2i000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i
χ262-22-22-222-2-2-22-220002i−2i00002i−2i00000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i
χ272-22-22-222-2-2-22-22000−2i2i0000−2i2i000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i
χ282-22-22-222-2-2-22-22000−2i2i0000−2i2i00000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i
χ292-22-22-2-2-2222-2-220002i−2i0000−2i2i000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i
χ302-22-22-2-2-2222-2-220002i−2i0000−2i2i00000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i
χ312-22-22-2-2-2222-2-22000−2i2i00002i−2i000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i
χ322-22-22-2-2-2222-2-22000−2i2i00002i−2i00000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i
χ332-22-22-2-2-222-222-22-2-200000000200000000i2−i2−i2i2i2−i2−i2i200000000
χ342-22-22-2-2-222-222-22-2-200000000200000000−i2i2i2−i2−i2i2i2−i200000000
χ352-22-22-2-2-222-222-2-22200000000-2000000002−2−22−222−200000000
χ362-22-22-2-2-222-222-2-22200000000-200000000−222−22−2−2200000000
χ374444444444-4-4-4-4000000000000000000000000000000000000
χ38444444-4-4-4-444-4-4000000000000000000000000000000000000
χ394444-4-44-44-4000000000000000000002-22-20000000000000000
χ404444-4-44-44-400000000000000000000-22-220000000000000000
χ414444-4-4-44-44000000000000000000002-2-220000000000000000
χ424444-4-4-44-4400000000000000000000-222-20000000000000000
χ434-44-4-444-4-4400000000000000002i−2i2i−2i00000000000000000000
χ444-44-4-444-4-440000000000000000−2i2i−2i2i00000000000000000000
χ454-44-4-44-444-400000000000000002i−2i−2i2i00000000000000000000
χ464-44-4-44-444-40000000000000000−2i2i2i−2i00000000000000000000
χ4788-8-8000000000000000004-4000000000000000000000000000
χ4888-8-800000000000000000-44000000000000000000000000000
χ498-8-880000000000000004-400000000000000000000000000000
χ508-8-88000000000000000-4400000000000000000000000000000

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