Finite Group Databasebeta

← Group #5422

Character table — Group #5422

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size111166666688881212111166666688881212
order124424444436121288224424444466121288
χ111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ311-1-1-11ii−i−i11-1-1i−i11-1-1-11ii−i−i11-1-1i−i
χ411-1-1-11−i−iii11-1-1−ii11-1-1-11−i−iii11-1-1−ii
χ52222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2-220000-1-1110022-2-2-220000-1-11100
χ72-22i−2i001+i−1−i1−i−1+i-11i−i002-22i−2i001+i−1−i1−i−1+i-11i−i00
χ82-22i−2i00−1−i1+i−1+i1−i-11i−i002-22i−2i00−1−i1+i−1+i1−i-11i−i00
χ92-2−2i2i001−i−1+i1+i−1−i-11−ii002-2−2i2i001−i−1+i1+i−1−i-11−ii00
χ102-2−2i2i00−1+i1−i−1−i1+i-11−ii002-2−2i2i00−1+i1−i−1−i1+i-11−ii00
χ113333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ1333-3-31-1ii−i−i0000−ii33-3-31-1ii−i−i0000−ii
χ1433-3-31-1−i−iii0000i−i33-3-31-1−i−iii0000i−i
χ154-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00
χ164-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1911-1-1-11ii−i−i11-1-1i−i-1-1111-1−i−iii-1-111−ii
χ2011-1-1-11−i−iii11-1-1−ii-1-1111-1ii−i−i-1-111i−i
χ212222220000-1-1-1-100-2-2-2-2-2-20000111100
χ2222-2-2-220000-1-11100-2-2222-2000011-1-100
χ232-22i−2i001+i−1−i1−i−1+i-11i−i00-22−2i2i00−1−i1+i−1+i1−i1-1−ii00
χ242-22i−2i00−1−i1+i−1+i1−i-11i−i00-22−2i2i001+i−1−i1−i−1+i1-1−ii00
χ252-2−2i2i001−i−1+i1+i−1−i-11−ii00-222i−2i00−1+i1−i−1−i1+i1-1i−i00
χ262-2−2i2i00−1+i1−i−1−i1+i-11−ii00-222i−2i001−i−1+i1+i−1−i1-1i−i00
χ273333-1-111110000-1-1-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1
χ2933-3-31-1ii−i−i0000−ii-3-333-11−i−iii0000i−i
χ3033-3-31-1−i−iii0000i−i-3-333-11ii−i−i0000−ii
χ314-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00
χ324-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00

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