Finite Group Databasebeta

← Group #142125

Character table — Group #142125

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order1222224444444488884444444444888888888888888888888816161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ121111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ1722222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000
χ192222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000
χ202222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-200000000000000000000
χ212222-2-222-2-222220000-2-20000000000000022-2-222-2-200000000i2−i2i2−i2i2−i2i2−i20000
χ222222-2-222-2-222220000-2-20000000000000022-2-222-2-200000000−i2i2−i2i2−i2i2−i2i20000
χ232222-2-222-2-222220000-2-200000000000000-2-222-2-22200000000i2−i2i2−i2−i2i2−i2i20000
χ242222-2-222-2-222220000-2-200000000000000-2-222-2-22200000000−i2i2−i2i2i2−i2i2−i20000
χ252222-2-222-2-2-2-2-2-20000220000000000000022-2-2-2-222000000002−2−222−2−220000
χ262222-2-222-2-2-2-2-2-20000220000000000000022-2-2-2-22200000000−222−2−222−20000
χ272222-2-222-2-2-2-2-2-200002200000000000000-2-22222-2-2000000002−2−22−222−20000
χ282222-2-222-2-2-2-2-2-200002200000000000000-2-22222-2-200000000−222−22−2−220000
χ292222-2-2-2-22222-2-222222-20000000022-2-2-2-20000000000002i−2i2i−2i000000000000
χ302222-2-2-2-22222-2-222222-20000000022-2-2-2-2000000000000−2i2i−2i2i000000000000
χ312222-2-2-2-22222-2-2-2-2-2-22-200000000-2-22222000000002-22-20000000000000000
χ322222-2-2-2-22222-2-2-2-2-2-22-200000000-2-2222200000000-22-220000000000000000
χ332222-2-2-2-222-2-2222222-2200000000-2-222-2-2000000002i−2i−2i2i0000000000000000
χ342222-2-2-2-222-2-2222222-2200000000-2-222-2-200000000−2i2i2i−2i0000000000000000
χ352222-2-2-2-222-2-222-2-2-2-2-220000000022-2-2220000000000002-2-22000000000000
χ362222-2-2-2-222-2-222-2-2-2-2-220000000022-2-222000000000000-222-2000000000000
χ37444444-4-4-4-444-4-40000-44000000000000000000000000000000000000000000
χ38444444-4-4-4-4-4-44400004-4000000000000000000000000000000000000000000
χ3944-4-4000000004i−4i22−2222−220022-2-22i2i−2i−2i002i2−2i200002i2−2i20022−2200000000000000000000
χ4044-4-4000000004i−4i22−2222−2200-2-222−2i−2i2i2i002i2−2i20000−2i22i200−222200000000000000000000
χ4144-4-4000000004i−4i−2222−22220022-2-22i2i−2i−2i00−2i22i20000−2i22i200−222200000000000000000000
χ4244-4-4000000004i−4i−2222−222200-2-222−2i−2i2i2i00−2i22i200002i2−2i20022−2200000000000000000000
χ4344-4-400000000−4i4i22−2222−220022-2-2−2i−2i2i2i00−2i22i20000−2i22i20022−2200000000000000000000
χ4444-4-400000000−4i4i22−2222−2200-2-2222i2i−2i−2i00−2i22i200002i2−2i200−222200000000000000000000
χ4544-4-400000000−4i4i−2222−22220022-2-2−2i−2i2i2i002i2−2i200002i2−2i200−222200000000000000000000
χ4644-4-400000000−4i4i−2222−222200-2-2222i2i−2i−2i002i2−2i20000−2i22i20022−2200000000000000000000
χ474-44-40000004i−4i0022−22−2222002i−2i2i−2i2-22-22i2−2i2000022−22002i2−2i20000000000000000000000
χ484-44-40000004i−4i0022−22−222200−2i2i−2i2i-22-222i2−2i20000−222200−2i22i20000000000000000000000
χ494-44-40000004i−4i00−222222−22002i−2i2i−2i2-22-2−2i22i20000−222200−2i22i20000000000000000000000
χ504-44-40000004i−4i00−222222−2200−2i2i−2i2i-22-22−2i22i2000022−22002i2−2i20000000000000000000000
χ514-44-4000000−4i4i0022−22−2222002i−2i2i−2i-22-22−2i22i20000−2222002i2−2i20000000000000000000000
χ524-44-4000000−4i4i0022−22−222200−2i2i−2i2i2-22-2−2i22i2000022−2200−2i22i20000000000000000000000
χ534-44-4000000−4i4i00−222222−22002i−2i2i−2i-22-222i2−2i2000022−2200−2i22i20000000000000000000000
χ544-44-4000000−4i4i00−222222−2200−2i2i−2i2i2-22-22i2−2i20000−2222002i2−2i20000000000000000000000
χ554-4-444-44-44-4000000000000004i−4i−4i4i0000000000000000000000000000000000
χ564-4-444-44-44-400000000000000−4i4i4i−4i0000000000000000000000000000000000
χ574-4-444-4-44-44000044-4-4000000000000004-40000000000000000000000000000
χ584-4-444-4-44-440000-4-44400000000000000-440000000000000000000000000000
χ594-4-44-444-4-44000044-4-400000000000000-440000000000000000000000000000
χ604-4-44-444-4-440000-4-444000000000000004-40000000000000000000000000000
χ614-4-44-44-444-400000000004i−4i−4i4i00000000000000000000000000000000000000
χ624-4-44-44-444-40000000000−4i4i4i−4i00000000000000000000000000000000000000

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