Finite Group Databasebeta

← Group #10593325

Character table — Group #10593325

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11112244444444888899991212121212121212181818181818181818182424242424242424
order124424336612121212661212224422448888244444444466121224242424
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ51111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-11-11-111-1-1
χ61111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-111111-11-1-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-11111-11-1111-1-1
χ81111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111111111-1-1-1-1-11-11-1-111
χ911-1-11-11111-1-1-1-111-1-1-1-1111-1-11i−ii−i-11ii−i−iii−i−i1-1-11i−ii−i
χ1011-1-11-11111-1-1-1-111-1-1-1-1111-1-11−ii−ii-11−i−iii−i−iii1-1-11−ii−ii
χ1111-1-11-11111-1-1-1-111-1-1-1-111-111-1i−ii−i-11−i−iii−i−iii-111-1i−ii−i
χ1211-1-11-11111-1-1-1-111-1-1-1-111-111-1−ii−ii-11ii−i−iii−i−i-111-1−ii−ii
χ1311-1-1-111111-1-1-1-1-1-11111-1-111-1-1i−i−ii-11ii−i−i−i−iii11-1-1i−i−ii
χ1411-1-1-111111-1-1-1-1-1-11111-1-111-1-1−iii−i-11−i−iiiii−i−i11-1-1−iii−i
χ1511-1-1-111111-1-1-1-1-1-11111-1-1-1-111i−i−ii-11−i−iiiii−i−i-1-111i−i−ii
χ1611-1-1-111111-1-1-1-1-1-11111-1-1-1-111−iii−i-11ii−i−i−i−iii-1-111−iii−i
χ17222222222222222222-2-2-2-200000000-2-20000000000000000
χ182222-2-222222222-2-2-2-2222200000000-2-20000000000000000
χ1922-2-22-22222-2-2-2-222-2-222-2-2000000002-20000000000000000
χ2022-2-2-222222-2-2-2-2-2-222-2-222000000002-20000000000000000
χ212-22i−2i0022-2-22i−2i2i−2i00002-22i−2i00000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000
χ222-22i−2i0022-2-22i−2i2i−2i00002-22i−2i0000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i00000000
χ232-22i−2i0022-2-22i−2i2i−2i0000-22−2i2i00000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000
χ242-22i−2i0022-2-22i−2i2i−2i0000-22−2i2i0000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000
χ252-2−2i2i0022-2-2−2i2i−2i2i00002-2−2i2i00000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000
χ262-2−2i2i0022-2-2−2i2i−2i2i00002-2−2i2i0000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000
χ272-2−2i2i0022-2-2−2i2i−2i2i0000-222i−2i00000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000
χ282-2−2i2i0022-2-2−2i2i−2i2i0000-222i−2i0000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000
χ294444441-21-2-2-2111-21-200000000222200000000000000-1-1-1-1
χ304444441-21-2-2-2111-21-200000000-2-2-2-2000000000000001111
χ31444444-21-2111-2-2-21-210000222200000000000000-1-1-1-10000
χ32444444-21-2111-2-2-21-210000-2-2-2-20000000000000011110000
χ334444-4-41-21-2-2-211-12-120000000022-2-200000000000000-1-111
χ344444-4-41-21-2-2-211-12-1200000000-2-2220000000000000011-1-1
χ354444-4-4-21-2111-2-22-12-100002-22-200000000000000-11-110000
χ364444-4-4-21-2111-2-22-12-10000-22-22000000000000001-11-10000
χ3744-4-44-41-21-222-1-11-2-12000000002i−2i2i−2i00000000000000−ii−ii
χ3844-4-44-41-21-222-1-11-2-1200000000−2i2i−2i2i00000000000000i−ii−i
χ3944-4-44-4-21-21-1-122-212-100002-2-2200000000000000-111-10000
χ4044-4-44-4-21-21-1-122-212-10000-222-2000000000000001-1-110000
χ4144-4-4-441-21-222-1-1-121-2000000002i−2i−2i2i00000000000000−iii−i
χ4244-4-4-441-21-222-1-1-121-200000000−2i2i2i−2i00000000000000i−i−ii
χ4344-4-4-44-21-21-1-1222-1-21000022-2-200000000000000-1-1110000
χ4444-4-4-44-21-21-1-1222-1-210000-2-2220000000000000011-1-10000
χ458-88i−8i002-4-24−4i4i2i−2i0000000000000000000000000000000000
χ468-88i−8i00-424-22i−2i−4i4i0000000000000000000000000000000000
χ478-8−8i8i002-4-244i−4i−2i2i0000000000000000000000000000000000
χ488-8−8i8i00-424-2−2i2i4i−4i0000000000000000000000000000000000

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