Finite Group Databasebeta

← Group #1920

Character table — Group #1920

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444444444444444888888884444
χ111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ81111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ91-11-111-1-11-1ii−i−i1-111-1-1ii−i−ii−i11-1-1ii−i−i1-1i−i
χ101-11-111-1-11-1ii−i−i1-111-1-1ii−i−ii−i-1-111−i−iii-11−ii
χ111-11-111-1-11-1ii−i−i1-1-1-111−i−iiii−i11-1-1ii−i−i-11−ii
χ121-11-111-1-11-1ii−i−i1-1-1-111−i−iiii−i-1-111−i−iii1-1i−i
χ131-11-111-1-11-1−i−iii1-111-1-1−i−iii−ii11-1-1−i−iii1-1−ii
χ141-11-111-1-11-1−i−iii1-111-1-1−i−iii−ii-1-111ii−i−i-11i−i
χ151-11-111-1-11-1−i−iii1-1-1-111ii−i−i−ii11-1-1−i−iii-11i−i
χ161-11-111-1-11-1−i−iii1-1-1-111ii−i−i−ii-1-111ii−i−i1-1−ii
χ1722222222-2-22222-2-200000000-2-2000000000000
χ1822222222-2-2-2-2-2-2-2-20000000022000000000000
χ19222-2-2-22-2220000-2-200002-22-200000000000000
χ20222-2-2-22-2220000-2-20000-22-2200000000000000
χ21222-2-2-22-2-2-20000222i−2i2i−2i000000000000000000
χ22222-2-2-22-2-2-2000022−2i2i−2i2i000000000000000000
χ2322-2-22-2-22002i−2i2i−2i000000000000i2−i2i2−i22−22−20000
χ2422-2-22-2-22002i−2i2i−2i000000000000−i2i2−i2i2−22−220000
χ2522-2-22-2-2200−2i2i−2i2i000000000000i2−i2i2−i2−22−220000
χ2622-2-22-2-2200−2i2i−2i2i000000000000−i2i2−i2i22−22−20000
χ272-222-2-2-222-20000-2200002i−2i−2i2i00000000000000
χ282-222-2-2-222-20000-220000−2i2i2i−2i00000000000000
χ292-222-2-2-22-2200002-22i−2i−2i2i000000000000000000
χ302-222-2-2-22-2200002-2−2i2i2i−2i000000000000000000
χ312-22-222-2-2-222i2i−2i−2i-2200000000−2i2i000000000000
χ322-22-222-2-2-22−2i−2i2i2i-22000000002i−2i000000000000
χ332-2-222-22-2002-2-22000000000000i2−i2−i2i2−i2i2i2−i20000
χ342-2-222-22-2002-2-22000000000000−i2i2i2−i2i2−i2−i2i20000
χ352-2-222-22-200-222-2000000000000i2−i2−i2i2i2−i2−i2i20000
χ362-2-222-22-200-222-2000000000000−i2i2i2−i2−i2i2i2−i20000
χ3744-44-44-4-4000000000000000000000000000000
χ384-4-4-4-4444000000000000000000000000000000

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