Finite Group Databasebeta

← Group #11787609

Character table — Group #11787609

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111228888999916161818181818182424242436363636363636363636363636363636363648484848
order1222443666222212124444442244444444444488888888661212
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
χ911-1-1i−i11-1-11-11-1i−ii−i1-11-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i
χ1011-1-1i−i11-1-11-11-1i−ii−i1-11-11-1i−ii−i-1-111−i−iii-1-111−i−iii1-1i−i
χ1111-1-1i−i11-1-11-11-1i−ii−i1-11-1-11−iii−i11-1-1ii−i−i-1-111−i−iii-11−ii
χ1211-1-1i−i11-1-11-11-1i−ii−i1-11-1-11−iii−i-1-111−i−iii11-1-1ii−i−i-11−ii
χ1311-1-1−ii11-1-11-11-1−ii−ii1-11-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii1-1−ii
χ1411-1-1−ii11-1-11-11-1−ii−ii1-11-11-1−ii−ii-1-111ii−i−i-1-111ii−i−i1-1−ii
χ1511-1-1−ii11-1-11-11-1−ii−ii1-11-1-11i−i−ii11-1-1−i−iii-1-111ii−i−i-11i−i
χ1611-1-1−ii11-1-11-11-1−ii−ii1-11-1-11i−i−ii-1-111ii−i−i11-1-1−i−iii-11i−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
χ2322-2-22i−2i22-2-22-22-22i−2i2i−2i-22-220000−2i2i00000000000000000000
χ2422-2-22i−2i22-2-2-22-222i−2i−2i2i000000000000000000i2−i2−i2i2−222−20000
χ2522-2-22i−2i22-2-2-22-222i−2i−2i2i000000000000000000−i2i2i2−i22−2−220000
χ2622-2-2−2i2i22-2-22-22-2−2i2i−2i2i-22-2200002i−2i00000000000000000000
χ2722-2-2−2i2i22-2-2-22-22−2i2i2i−2i000000000000000000i2−i2−i2i22−2−220000
χ2822-2-2−2i2i22-2-2-22-22−2i2i2i−2i000000000000000000−i2i2i2−i2−222−20000
χ292-22-2002-22-2-2-22200002-2-2200000000002-22-2000000000000
χ302-22-2002-22-2-2-22200002-2-220000000000-22-22000000000000
χ312-22-2002-22-2-2-2220000-222-20000002-22-20000000000000000
χ322-22-2002-22-2-2-2220000-222-2000000-22-220000000000000000
χ332-2-22002-2-22-222-2000022-2-200000000002i−2i−2i2i000000000000
χ342-2-22002-2-22-222-2000022-2-20000000000−2i2i2i−2i000000000000
χ352-2-22002-2-22-222-20000-2-2220000002-2-220000000000000000
χ362-2-22002-2-22-222-20000-2-222000000-222-20000000000000000
χ374-44-4004-44-444-4-40000000000000000000000000000000000
χ384-4-44004-4-444-4-440000000000000000000000000000000000
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
χ4388-8-88i−8i-1-1110000−ii0000002-22i−2i000000000000000000-11−ii
χ4488-8-88i−8i-1-1110000−ii000000-22−2i2i0000000000000000001-1i−i
χ4588-8-8−8i8i-1-1110000i−i0000002-2−2i2i000000000000000000-11i−i
χ4688-8-8−8i8i-1-1110000i−i000000-222i−2i0000000000000000001-1−ii
χ4716-1616-1600-22-2200000000000000000000000000000000000000
χ4816-16-161600-222-200000000000000000000000000000000000000

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