Finite Group Databasebeta

← Group #4769

Character table — Group #4769

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1111222222444422224444448888333366666612121212
order12224488882244366612122424242466121222224488882244
χ1111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ51-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i
χ61-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii
χ71-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii
χ81-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i
χ92222-2-2000000002222-2-2000000002222-2-200000000
χ1022-2-200i2−i2i2−i2000022-2-200i2−i2i2−i2000022-2-200i2−i2i2−i20000
χ1122-2-200−i2i2−i2i2000022-2-200−i2i2−i2i2000022-2-200−i2i2−i2i20000
χ122-22-2-22000000002-22-2-22000000002-22-2-2200000000
χ132-2-22002−2−2200002-2-22002−2−2200002-2-22002−2−220000
χ142-2-2200−222−200002-2-2200−222−200002-2-2200−222−20000
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ18111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ191-11-11-1ii−i−i1-1i−i1-11-11-1ii−i−i1-1i−i-11-11-11−i−iii-11−ii
χ201-11-11-1ii−i−i-11−ii1-11-11-1ii−i−i-11−ii-11-11-11−i−iii1-1i−i
χ211-11-11-1−i−iii1-1−ii1-11-11-1−i−iii1-1−ii-11-11-11ii−i−i-11i−i
χ221-11-11-1−i−iii-11i−i1-11-11-1−i−iii-11i−i-11-11-11ii−i−i1-1−ii
χ232222-2-2000000002222-2-200000000-2-2-2-22200000000
χ2422-2-200i2−i2i2−i2000022-2-200i2−i2i2−i20000-2-22200−i2i2−i2i20000
χ2522-2-200−i2i2−i2i2000022-2-200−i2i2−i2i20000-2-22200i2−i2i2−i20000
χ262-22-2-22000000002-22-2-2200000000-22-222-200000000
χ272-2-22002−2−2200002-2-22002−2−220000-222-200−222−20000
χ282-2-2200−222−200002-2-2200−222−20000-222-2002−2−220000
χ2922222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1111100000000000000
χ31222222-2-2-2-222-2-2-1-1-1-1-1-11111-1-11100000000000000
χ32222222-2-2-2-2-2-222-1-1-1-1-1-1111111-1-100000000000000
χ332-22-22-22i2i−2i−2i2-22i−2i-11-11-11−i−iii-11−ii00000000000000
χ342-22-22-22i2i−2i−2i-22−2i2i-11-11-11−i−iii1-1i−i00000000000000
χ352-22-22-2−2i−2i2i2i2-2−2i2i-11-11-11ii−i−i-11i−i00000000000000
χ362-22-22-2−2i−2i2i2i-222i−2i-11-11-11ii−i−i1-1−ii00000000000000
χ374444-4-400000000-2-2-2-2220000000000000000000000
χ3844-4-4002i2−2i22i2−2i20000-2-22200−i2i2−i2i2000000000000000000
χ3944-4-400−2i22i2−2i22i20000-2-22200i2−i2i2−i2000000000000000000
χ404-44-4-4400000000-22-222-20000000000000000000000
χ414-4-440022−22−22220000-222-200−222−2000000000000000000
χ424-4-4400−222222−220000-222-2002−2−22000000000000000000

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