Finite Group Databasebeta

← Group #9256

Character table — Group #9256

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222222222444444444444444444444888888884444
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111-1-1-1-111111-1-111-1-1-1-111111111-1-1-1-1
χ611111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1
χ9111111-1-1-1-1111-111-1-1ii−i−i-11-1i−iii−i−i11-1-1ii−i−i1-1i−i
χ10111111-1-1-1-1111-111-1-1ii−i−i-11-1i−iii−i−i-1-111−i−iii-11−ii
χ11111111-1-1-1-1111-111-1-1−i−iii-11-1−ii−i−iii11-1-1−i−iii1-1−ii
χ12111111-1-1-1-1111-111-1-1−i−iii-11-1−ii−i−iii-1-111ii−i−i-11i−i
χ13111111-1-1-1-1111-1-1-111ii−i−i-1-11i−i−i−iii11-1-1ii−i−i-11−ii
χ14111111-1-1-1-1111-1-1-111ii−i−i-1-11i−i−i−iii-1-111−i−iii1-1i−i
χ15111111-1-1-1-1111-1-1-111−i−iii-1-11−iiii−i−i11-1-1−i−iii-11i−i
χ16111111-1-1-1-1111-1-1-111−i−iii-1-11−iiii−i−i-1-111ii−i−i1-1−ii
χ172222222222-2-2-2-200002222-200-2-20000000000000000
χ182222222222-2-2-2-20000-2-2-2-2-200220000000000000000
χ19222222-2-2-2-2-2-2-2200002i2i−2i−2i200−2i2i0000000000000000
χ20222222-2-2-2-2-2-2-220000−2i−2i2i2i2002i−2i0000000000000000
χ212222-2-22-22-222-2-222-2-200002-22000000000000000000
χ222222-2-22-22-222-2-2-2-222000022-2000000000000000000
χ232222-2-22-22-2-2-22200000000-200002i−2i2i−2i000000000000
χ242222-2-22-22-2-2-22200000000-20000−2i2i−2i2i000000000000
χ252222-2-2-22-2222-2222220000-2-2-2000000000000000000
χ262222-2-2-22-2222-22-2-2-2-20000-222000000000000000000
χ272222-2-2-22-22-2-22-200000000200002-2-22000000000000
χ282222-2-2-22-22-2-22-20000000020000-222-2000000000000
χ292-22-22-22-2-22000000002-22-2000000000i2−i2i2−i2i2−i2i2−i20000
χ302-22-22-22-2-22000000002-22-2000000000−i2i2−i2i2−i2i2−i2i20000
χ312-22-22-22-2-2200000000-22-22000000000i2−i2i2−i2−i2i2−i2i20000
χ322-22-22-22-2-2200000000-22-22000000000−i2i2−i2i2i2−i2i2−i20000
χ332-22-22-2-222-2000000002i−2i−2i2i000000000i2−i2−i2i2−222−20000
χ342-22-22-2-222-2000000002i−2i−2i2i000000000−i2i2i2−i22−2−220000
χ352-22-22-2-222-200000000−2i2i2i−2i000000000i2−i2−i2i22−2−220000
χ362-22-22-2-222-200000000−2i2i2i−2i000000000−i2i2i2−i2−222−20000
χ374-44-4-4444-4-4000000000000000000000000000000000
χ384-44-4-44-4-444000000000000000000000000000000000
χ394-4-440000004-400004i−4i0000000000000000000000000
χ404-4-440000004-40000−4i4i0000000000000000000000000
χ414-4-44000000-44004i−4i000000000000000000000000000
χ424-4-44000000-4400−4i4i000000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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