Finite Group Databasebeta

← Group #11790357

Character table — Group #11790357

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
χ91-11-11-11-11-111-1-11-11-11-1-11i−ii−i1-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ101-11-11-11-11-111-1-11-11-11-1-11i−ii−i1-1−i−iii−i−iii-1-111-1-111i−ii−i
χ111-11-11-11-11-111-1-11-11-11-1-11−ii−ii1-1ii−i−iii−i−i-1-111-1-111−ii−ii
χ121-11-11-11-11-111-1-11-11-11-1-11−ii−ii1-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ131-11-1-111-11-111-1-1-11-111-1-11i−i−ii-11ii−i−i−i−iii11-1-1-1-111i−i−ii
χ141-11-1-111-11-111-1-1-11-111-1-11i−i−ii-11−i−iiiii−i−i-1-11111-1-1i−i−ii
χ151-11-1-111-11-111-1-1-11-111-1-11−iii−i-11ii−i−i−i−iii-1-11111-1-1−iii−i
χ161-11-1-111-11-111-1-1-11-111-1-11−iii−i-11−i−iiiii−i−i11-1-1-1-111−iii−i
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
χ2322-2-20022-2-22-22-2000022-2-200000000002-22-2000000000000
χ2422-2-20022-2-22-22-2000022-2-20000000000-22-22000000000000
χ2522-2-20022-2-22-22-20000-2-2220000002i−2i2i−2i0000000000000000
χ2622-2-20022-2-22-22-20000-2-222000000−2i2i−2i2i0000000000000000
χ272-22-22-22-22-222-2-22-22-2-222-20000-2200000000000000000000
χ282-22-22-22-22-2-2-2222-2-22000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ292-22-22-22-22-2-2-2222-2-22000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ302-22-2-222-22-222-2-2-22-22-222-200002-200000000000000000000
χ312-22-2-222-22-2-2-222-222-2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ322-22-2-222-22-2-2-222-222-2000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ332-2-22002-2-222-2-2200002-22-200000000002i−2i−2i2i000000000000
χ342-2-22002-2-222-2-2200002-22-20000000000−2i2i2i−2i000000000000
χ352-2-22002-2-222-2-220000-22-220000002-2-220000000000000000
χ362-2-22002-2-222-2-220000-22-22000000-222-20000000000000000
χ3744-4-40044-4-4-44-440000000000000000000000000000000000
χ384-4-44004-4-44-444-40000000000000000000000000000000000
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
χ438-88-88-8-11-110000-110000002i−2i2i−2i000000000000000000−ii−ii
χ448-88-88-8-11-110000-11000000−2i2i−2i2i000000000000000000i−ii−i
χ458-88-8-88-11-1100001-10000002i−2i−2i2i000000000000000000−iii−i
χ468-88-8-88-11-1100001-1000000−2i2i2i−2i000000000000000000i−i−ii
χ471616-16-1600-2-22200000000000000000000000000000000000000
χ4816-16-161600-222-200000000000000000000000000000000000000

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