Finite Group Databasebeta

← Group #1987

Character table — Group #1987

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
χ511111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-111
χ811111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ91-1-111-1-1111-111-1-1-1ii−i−iii−i−i1-1ii−i−iii−i−i1-11-1
χ101-1-111-1-1111-111-1-1-1ii−i−iii−i−i1-1−i−iii−i−iii-11-11
χ111-1-111-1-1111-111-1-1-1−i−iii−i−iii1-1ii−i−iii−i−i-11-11
χ121-1-111-1-1111-111-1-1-1−i−iii−i−iii1-1−i−iii−i−iii1-11-1
χ131-1-111-1-1111-1-1-111-1ii−i−i−i−iii-11ii−i−i−i−iii1-1-11
χ141-1-111-1-1111-1-1-111-1ii−i−i−i−iii-11−i−iiiii−i−i-111-1
χ151-1-111-1-1111-1-1-111-1−i−iiiii−i−i-11ii−i−i−i−iii-111-1
χ161-1-111-1-1111-1-1-111-1−i−iiiii−i−i-11−i−iiiii−i−i1-1-11
χ1722222222-2-2-22222-200000000-2-2000000000000
χ1822222222-2-2-2-2-2-2-2-20000000022000000000000
χ192222-2-2-2-20002-22-2000000000002−22−22−22−20000
χ202222-2-2-2-20002-22-200000000000−22−22−22−220000
χ212222-2-2-2-2000-22-22000000000002−22−2−22−220000
χ222222-2-2-2-2000-22-2200000000000−22−222−22−20000
χ2322-2-222-2-22-220000-200002-22-200000000000000
χ2422-2-222-2-22-220000-20000-22-2200000000000000
χ2522-2-222-2-2-22-2000022i−2i2i−2i000000000000000000
χ2622-2-222-2-2-22-200002−2i2i−2i2i000000000000000000
χ272-22-22-22-22-2-20000200002i−2i−2i2i00000000000000
χ282-22-22-22-22-2-2000020000−2i2i2i−2i00000000000000
χ292-22-22-22-2-2220000-22-2-22000000000000000000
χ302-22-22-22-2-2220000-2-222-2000000000000000000
χ312-2-222-2-22-2-2222-2-2200000000-22000000000000
χ322-2-222-2-22-2-22-2-2222000000002-2000000000000
χ332-2-22-222-20002-2-2200000000000i2−i2−i2i2i2−i2−i2i20000
χ342-2-22-222-20002-2-2200000000000−i2i2i2−i2−i2i2i2−i20000
χ352-2-22-222-2000-222-200000000000i2−i2−i2i2−i2i2i2−i20000
χ362-2-22-222-2000-222-200000000000−i2i2i2−i2i2−i2−i2i20000
χ3744-4-4-4-444000000000000000000000000000000
χ384-44-4-44-44000000000000000000000000000000

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