Finite Group Databasebeta

← Group #1949

Character table — Group #1949

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444444444444444888888884444
χ111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91-1111-1-1-11-1-111-1-111-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ101-1111-1-1-11-1-111-1-111-1ii−i−iii−i−i-1-111-1-111−ii−ii
χ111-1111-1-1-11-1-111-1-111-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ121-1111-1-1-11-1-111-1-111-1−i−iii−i−iii-1-111-1-111i−ii−i
χ131-1111-1-1-11-1-1-1-1111-11ii−i−i−i−iii11-1-1-1-111i−i−ii
χ141-1111-1-1-11-1-1-1-1111-11ii−i−i−i−iii-1-11111-1-1−iii−i
χ151-1111-1-1-11-1-1-1-1111-11−i−iiiii−i−i11-1-1-1-111−iii−i
χ161-1111-1-1-11-1-1-1-1111-11−i−iiiii−i−i-1-11111-1-1i−i−ii
χ1722222222-2-2-22222-2-2-200000000000000000000
χ1822222222-2-2-2-2-2-2-2-22200000000000000000000
χ19222-2-22-2-222-20000-2002-22-20000000000000000
χ20222-2-22-2-222-20000-200-22-220000000000000000
χ21222-2-22-2-2-2-22000020000002i−2i2i−2i000000000000
χ22222-2-22-2-2-2-2200002000000−2i2i−2i2i000000000000
χ2322-22-2-2-220002i−2i2i−2i000000000002−22−2i2−i2i2−i20000
χ2422-22-2-2-220002i−2i2i−2i00000000000−22−22−i2i2−i2i20000
χ2522-22-2-2-22000−2i2i−2i2i000000000002−22−2−i2i2−i2i20000
χ2622-22-2-2-22000−2i2i−2i2i00000000000−22−22i2−i2i2−i20000
χ272-2222-2-2-2-22222-2-2-2-2200000000000000000000
χ282-2222-2-2-2-222-2-222-22-200000000000000000000
χ292-22-2-2-2222-220000-2002i−2i−2i2i0000000000000000
χ302-22-2-2-2222-220000-200−2i2i2i−2i0000000000000000
χ312-22-2-2-222-22-2000020000002-2-22000000000000
χ322-22-2-2-222-22-200002000000-222-2000000000000
χ332-2-22-222-20002i−2i−2i2i000000000002−2−22i2−i2−i2i20000
χ342-2-22-222-20002i−2i−2i2i00000000000−222−2−i2i2i2−i20000
χ352-2-22-222-2000−2i2i2i−2i000000000002−2−22−i2i2i2−i20000
χ362-2-22-222-2000−2i2i2i−2i00000000000−222−2i2−i2−i2i20000
χ3744-4-44-44-4000000000000000000000000000000
χ384-4-4-444-44000000000000000000000000000000

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