Finite Group Databasebeta

← Group #142185

Character table — Group #142185

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444224444448888448888884444888816161616161616164444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ61111111111111-1-1-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ71111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111111111-1-1-11111-1-1-1-1-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1
χ101111111111-1-1-11111-1-1-1-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111
χ111111111111-1-1-11111-1-1-1-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111
χ121111111111-1-1-11111-1-1-1-1-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−iii−i−i−i−iii-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ17222222222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ182222222222222-2-2-2-22-2-2-2-2-2-2-2-2222200000000000000000000
χ192222222222-2-2-22222-22222-2-2-2-2-2-22200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2222222-2-222-2-200000000000000000000
χ212-22-22-22-22-22-220000-2000000002-22-2000000002−22−22−22−20000
χ222-22-22-22-22-22-220000-2000000002-22-200000000−22−22−22−220000
χ232-22-22-22-22-22-220000-200000000-22-22000000002−22−2−22−220000
χ242-22-22-22-22-22-220000-200000000-22-2200000000−22−222−22−20000
χ252-22-22-22-22-2-22-200002000000002-2-2200000000i2−i2−i2i2i2−i2−i2i20000
χ262-22-22-22-22-2-22-200002000000002-2-2200000000−i2i2i2−i2−i2i2i2−i20000
χ272-22-22-22-22-2-22-20000200000000-222-200000000i2−i2−i2i2−i2i2i2−i20000
χ282-22-22-22-22-2-22-20000200000000-222-200000000−i2i2i2−i2i2−i2−i2i20000
χ292-22-22-2-22-222-2-20000222-2-2002-2000000002-22-2000000000000
χ302-22-22-2-22-222-2-20000222-2-2002-200000000-22-22000000000000
χ312-22-22-2-22-222-2-200002-2-22200-2200002i−2i2i−2i0000000000000000
χ322-22-22-2-22-222-2-200002-2-22200-220000−2i2i−2i2i0000000000000000
χ332-22-22-2-22-22-2220000-222-2-200-2200002-2-220000000000000000
χ342-22-22-2-22-22-2220000-222-2-200-220000-222-20000000000000000
χ352-22-22-2-22-22-2220000-2-2-222002-2000000002i−2i−2i2i000000000000
χ362-22-22-2-22-22-2220000-2-2-222002-200000000−2i2i2i−2i000000000000
χ37444444-4-4-4-444-40000-400000000000000000000000000000000
χ38444444-4-4-4-4-4-440000400000000000000000000000000000000
χ394444-4-44-4-440000000000004i−4i00000000000000000000000000
χ404444-4-44-4-44000000000000−4i4i00000000000000000000000000
χ414444-4-4-444-4000000004i−4i4i−4i0000000000000000000000000000
χ424444-4-4-444-400000000−4i4i−4i4i0000000000000000000000000000
χ434-44-4-4444-4-4000000004i−4i−4i4i0000000000000000000000000000
χ444-44-4-4444-4-400000000−4i4i4i−4i0000000000000000000000000000
χ454-44-4-44-4-44400044-4-4000000000000000000000000000000000
χ464-44-4-44-4-444000-4-444000000000000000000000000000000000
χ4788-8-80000000004-44-4000000000000000000000000000000000
χ4888-8-8000000000-44-44000000000000000000000000000000000
χ498-8-880000000004-4-44000000000000000000000000000000000
χ508-8-88000000000-444-4000000000000000000000000000000000

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