Finite Group Databasebeta

← Group #2177

Character table — Group #2177

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size11112222222222444444444488888888
order1222444444888888161616161616161622224444
χ111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1
χ61111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ71111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ81111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ911-1-1ii−i−i1-111-1-1i−i11-1-1ii−i−i1-11-1i−ii−i
χ1011-1-1ii−i−i1-111-1-1i−i11-1-1ii−i−i-11-11−ii−ii
χ1111-1-1ii−i−i1-111-1-1i−i-1-111−i−iii1-1-11i−i−ii
χ1211-1-1ii−i−i1-111-1-1i−i-1-111−i−iii-111-1−iii−i
χ1311-1-1−i−iii1-111-1-1−ii11-1-1−i−iii1-11-1−ii−ii
χ1411-1-1−i−iii1-111-1-1−ii11-1-1−i−iii-11-11i−ii−i
χ1511-1-1−i−iii1-111-1-1−ii-1-111ii−i−i1-1-11−iii−i
χ1611-1-1−i−iii1-111-1-1−ii-1-111ii−i−i-111-1i−i−ii
χ172222222222-2-2-2-2-2-20000000000000000
χ1822222-22-2-2-20000002−22−22−22−200000000
χ1922222-22-2-2-2000000−22−22−22−2200000000
χ202222-22-22-2-20000002−22−2−22−2200000000
χ212222-22-22-2-2000000−22−222−22−200000000
χ222222-2-2-2-222-2-2-2-2220000000000000000
χ2322-2-22i2i−2i−2i2-2-2-222−2i2i0000000000000000
χ2422-2-22i−2i−2i2i-220000002−2−22i2−i2−i2i200000000
χ2522-2-22i−2i−2i2i-22000000−222−2−i2i2i2−i200000000
χ2622-2-2−2i2i2i−2i-220000002−2−22−i2i2i2−i200000000
χ2722-2-2−2i2i2i−2i-22000000−222−2i2−i2−i2i200000000
χ2822-2-2−2i−2i2i2i2-2-2-2222i−2i0000000000000000
χ294-44-400000022−2222−22000000000000000000
χ304-44-4000000−2222−2222000000000000000000
χ314-4-4400000022−22−2222000000000000000000
χ324-4-44000000−222222−22000000000000000000

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