Finite Group Databasebeta

← Group #4788

Character table — Group #4788

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1111222222222233334444444444666666888812121212
order1222344666888844444444121224242424448888121212122244
χ1111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ61111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-1-1
χ71111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ81111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ911-1-11-11-1-11ii−i−iii−i−i1-1i−i1-1ii−i−ii−i11-1-1i−i1-11-1i−i
χ1011-1-11-11-1-11ii−i−iii−i−i-11−ii1-1ii−i−ii−i11-1-1−ii-11-11−ii
χ1111-1-11-11-1-11ii−i−i−i−iii1-1i−i1-1ii−i−i−ii-1-111i−i1-1-11−ii
χ1211-1-11-11-1-11ii−i−i−i−iii-11−ii1-1ii−i−i−ii-1-111−ii-111-1i−i
χ1311-1-11-11-1-11−i−iiiii−i−i1-1−ii1-1−i−iiii−i-1-111−ii1-1-11i−i
χ1411-1-11-11-1-11−i−iiiii−i−i-11i−i1-1−i−iiii−i-1-111i−i-111-1−ii
χ1511-1-11-11-1-11−i−iii−i−iii1-1−ii1-1−i−iii−ii11-1-1−ii1-11-1−ii
χ1611-1-11-11-1-11−i−iii−i−iii-11i−i1-1−i−iii−ii11-1-1i−i-11-11i−i
χ1722222-2-2222000022220000-2-20000-2-2000000000000
χ1822222-2-22220000-2-2-2-20000-2-2000022000000000000
χ192222-122-1-1-1222200002222-1-1-1-1-1-1000000-1-1-1-10000
χ202222-122-1-1-122220000-2-2-2-2-1-1-1-1-1-100000011110000
χ212222-122-1-1-1-2-2-2-2000022-2-2-1-1111100000011-1-10000
χ222222-122-1-1-1-2-2-2-20000-2-222-1-11111000000-1-1110000
χ2322-2-222-2-2-2200002i2i−2i−2i0000-220000−2i2i000000000000
χ2422-2-222-2-2-220000−2i−2i2i2i0000-2200002i−2i000000000000
χ2522-2-2-1-2211-12i2i−2i−2i00002-22i−2i-11−i−iii000000−ii-110000
χ2622-2-2-1-2211-12i2i−2i−2i0000-22−2i2i-11−i−iii000000i−i1-10000
χ2722-2-2-1-2211-1−2i−2i2i2i00002-2−2i2i-11ii−i−i000000i−i-110000
χ2822-2-2-1-2211-1−2i−2i2i2i0000-222i−2i-11ii−i−i000000−ii1-10000
χ292-22-2200-22-2i2−i2i2−i22-22-2000000i2−i2i2−i200i2−i2i2−i200000000
χ302-22-2200-22-2i2−i2i2−i2-22-22000000i2−i2i2−i200−i2i2−i2i200000000
χ312-22-2200-22-2−i2i2−i2i22-22-2000000−i2i2−i2i200−i2i2−i2i200000000
χ322-22-2200-22-2−i2i2−i2i2-22-22000000−i2i2−i2i200i2−i2i2−i200000000
χ332-2-222002-2-22−2−222i−2i−2i2i0000002−2−2200−i2i2i2−i200000000
χ342-2-222002-2-22−2−22−2i2i2i−2i0000002−2−2200i2−i2−i2i200000000
χ352-2-222002-2-2−222−22i−2i−2i2i000000−222−200i2−i2−i2i200000000
χ362-2-222002-2-2−222−2−2i2i2i−2i000000−222−200−i2i2i2−i200000000
χ374444-2-4-4-2-2-200000000000022000000000000000000
χ3844-4-4-24-422-20000000000002-2000000000000000000
χ394-44-4-2002-222i2−2i22i2−2i20000000000−i2i2−i2i200000000000000
χ404-44-4-2002-22−2i22i2−2i22i20000000000i2−i2i2−i200000000000000
χ414-4-44-200-22222−22−22220000000000−222−200000000000000
χ424-4-44-200-222−222222−2200000000002−2−2200000000000000

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