Finite Group Databasebeta

← Group #11739

Character table — Group #11739

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1222224444224444442488888888888888884444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ61111111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111
χ71111111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ81111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ9111111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i1-11-1
χ10111111-1-1-1-11111-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii-11-11
χ11111111-1-1-1-11111-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i-11-11
χ12111111-1-1-1-11111-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii1-11-1
χ13111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-1-1111-1-11
χ14111111-1-1-1-1-1-1-1-11111-1111-1-1-1-111-1-11111-1-1-111-1
χ15111111-1-1-1-1-1-1-1-11111-11-1-11111-1-111-1-1-1-111-111-1
χ16111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-11-1-11
χ17222222222222-2-2-2-222-2-200000000000000000000
χ182222222222-2-22222-2-2-2-200000000000000000000
χ19222222-2-2-2-222-2-222-2-22-200000000000000000000
χ20222222-2-2-2-2-2-222-2-2222-200000000000000000000
χ212-22-22-22i2i−2i−2i002i−2i2-20000i2−i22−22−2i2−i2000000000000
χ222-22-22-22i2i−2i−2i002i−2i2-20000−i2i2−22−22−i2i2000000000000
χ232-22-22-22i2i−2i−2i00−2i2i-2200002−2−i2i2i2−i2−22000000000000
χ242-22-22-22i2i−2i−2i00−2i2i-220000−22i2−i2−i2i22−2000000000000
χ252-22-22-2−2i−2i2i2i002i−2i-2200002−2i2−i2−i2i2−22000000000000
χ262-22-22-2−2i−2i2i2i002i−2i-220000−22−i2i2i2−i22−2000000000000
χ272-22-22-2−2i−2i2i2i00−2i2i2-20000i2−i2−22−22i2−i2000000000000
χ282-22-22-2−2i−2i2i2i00−2i2i2-20000−i2i22−22−2−i2i2000000000000
χ292-22-2-222i−2i2i−2i2-200002i−2i00000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ302-22-2-222i−2i2i−2i2-200002i−2i0000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ312-22-2-222i−2i2i−2i-220000−2i2i00000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000
χ322-22-2-222i−2i2i−2i-220000−2i2i0000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000
χ332-22-2-22−2i2i−2i2i2-20000−2i2i00000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ342-22-2-22−2i2i−2i2i2-20000−2i2i0000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ352-22-2-22−2i2i−2i2i-2200002i−2i00000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000
χ362-22-2-22−2i2i−2i2i-2200002i−2i0000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000
χ374444-4-44-4-44000000000000000000000000000000
χ384444-4-4-444-4000000000000000000000000000000
χ3988-8-8000000000000000000000000000000000000
χ408-8-88000000000000000000000000000000000000

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