Finite Group Databasebeta

← Group #1872

Character table — Group #1872

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222222244444444444444888888884444
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
χ511111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-1-111-111-1-111-1-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ1011-1-1-111-111-1-111-1-11-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ1111-1-1-111-111-1-111-1-11-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ1211-1-1-111-111-1-111-1-11-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ1311-1-1-111-1-1-11111-1-1-11ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ1411-1-1-111-1-1-11111-1-1-11ii−i−i−i−iii−i−iiiii−i−i-111-1
χ1511-1-1-111-1-1-11111-1-1-11−i−iiiii−i−iii−i−i−i−iii-111-1
χ1611-1-1-111-1-1-11111-1-1-11−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ17222222222222-2-2-2-2-2-200000000000000000000
χ1822222222-2-2-2-2-2-2-2-22200000000000000000000
χ192222-2-2-2-22-22-2000000000000002−22−22−22−20000
χ202222-2-2-2-22-22-200000000000000−22−22−22−220000
χ212222-2-2-2-2-22-22000000000000002−22−2−22−220000
χ222222-2-2-2-2-22-2200000000000000−22−222−22−20000
χ2322-2-22-2-222-2-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ2422-2-22-2-222-2-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ2522-2-22-2-22-222-200000000000000i2−i2−i2i2−i2i2i2−i20000
χ2622-2-22-2-22-222-200000000000000−i2i2i2−i2i2−i2−i2i20000
χ2722-2-2-222-222-2-2-2-222-2200000000000000000000
χ2822-2-2-222-2-2-222-2-2222-200000000000000000000
χ292-22-22-22-200002-22-20000002i−2i2i−2i000000000000
χ302-22-22-22-200002-22-2000000−2i2i−2i2i000000000000
χ312-22-22-22-20000-22-22002i−2i2i−2i0000000000000000
χ322-22-22-22-20000-22-2200−2i2i−2i2i0000000000000000
χ332-2-22-2-22200002-2-220000002-2-22000000000000
χ342-2-22-2-22200002-2-22000000-222-2000000000000
χ352-2-22-2-2220000-222-2002-2-220000000000000000
χ362-2-22-2-2220000-222-200-222-20000000000000000
χ374-44-4-44-44000000000000000000000000000000
χ384-4-4444-4-4000000000000000000000000000000

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