Finite Group Databasebeta

← Group #11791641

Character table — Group #11791641

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111228888999916161818181818182424242436363636363636363636363636363636363648484848
order122244366622221212444444444444444444448888888812121212
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ71111-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ81111-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ91-1-111-11-1-1111-1-11-11-111-1-11-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101-1-111-11-1-1111-1-11-11-111-1-11-11-11-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ111-1-111-11-1-1111-1-11-11-111-1-1-11-111-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ121-1-111-11-1-1111-1-11-11-111-1-1-11-111-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ131-1-11-111-1-1111-1-1-11-1111-1-11-1-11-11ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ141-1-11-111-1-1111-1-1-11-1111-1-11-1-11-11−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ151-1-11-111-1-1111-1-1-11-1111-1-1-111-1-11ii−i−i−i−iii−i−iiiii−i−i-111-1
χ161-1-11-111-1-1111-1-1-11-1111-1-1-111-1-11−i−iiiii−i−iii−i−i−i−iii-111-1
χ17222222222222222222-2-2-2-20000-2-200000000000000000000
χ182222222222-2-2-2-222-2-2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ192222222222-2-2-2-222-2-2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ202222-2-222222222-2-2-2-2-2-2-2-200002200000000000000000000
χ212222-2-22222-2-2-2-2-2-222000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ222222-2-22222-2-2-2-2-2-222000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ2322-2-20022-2-22-22-200002-22-200000000002-22-2000000000000
χ2422-2-20022-2-22-22-200002-22-20000000000-22-22000000000000
χ2522-2-20022-2-22-22-20000-22-220000002i−2i2i−2i0000000000000000
χ2622-2-20022-2-22-22-20000-22-22000000−2i2i−2i2i0000000000000000
χ272-22-2002-22-22-2-2200002-2-2200000000002i−2i−2i2i000000000000
χ282-22-2002-22-22-2-2200002-2-220000000000−2i2i2i−2i000000000000
χ292-22-2002-22-22-2-220000-222-20000002-2-220000000000000000
χ302-22-2002-22-22-2-220000-222-2000000-222-20000000000000000
χ312-2-222-22-2-2222-2-22-22-2-2-2220000-2200000000000000000000
χ322-2-222-22-2-22-2-2222-2-220000000000000000002−2−222−2−220000
χ332-2-222-22-2-22-2-2222-2-22000000000000000000−222−2−222−20000
χ342-2-22-222-2-2222-2-2-22-22-2-22200002-200000000000000000000
χ352-2-22-222-2-22-2-222-222-20000000000000000002−2−22−222−20000
χ362-2-22-222-2-22-2-222-222-2000000000000000000−222−22−2−220000
χ3744-4-40044-4-4-44-440000000000000000000000000000000000
χ384-44-4004-44-4-444-40000000000000000000000000000000000
χ39888888-1-1-1-10000-1-10000002222000000000000000000-1-1-1-1
χ40888888-1-1-1-10000-1-1000000-2-2-2-20000000000000000001111
χ418888-8-8-1-1-1-100001100000022-2-2000000000000000000-1-111
χ428888-8-8-1-1-1-1000011000000-2-22200000000000000000011-1-1
χ438-8-888-8-111-10000-110000002-22-2000000000000000000-11-11
χ448-8-888-8-111-10000-11000000-22-220000000000000000001-11-1
χ458-8-88-88-111-100001-10000002-2-22000000000000000000-111-1
χ468-8-88-88-111-100001-1000000-222-20000000000000000001-1-11
χ471616-16-1600-2-22200000000000000000000000000000000000000
χ4816-1616-1600-22-2200000000000000000000000000000000000000

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