Finite Group Databasebeta

← Group #11786

Character table — Group #11786

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222244444444488888888888888161616161616
order1222224422224444444444444444444448888
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11-1-1-1-1-111111iiii−i−i−i−i-1-1ii−i−i
χ61111111111-1-11-1-1-1-1-111111−i−i−i−iiiii-1-1−i−iii
χ71111111111-1-11-1-1-1-1-11-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111-1-11-1-1-1-1-11-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-1-111-1-1-111-1111-1-111-1-111-1-11-11-11-1
χ10111111-1-1-1-111-1-1-111-1111-1-1-1-111-1-1111-1-11-11
χ11111111-1-1-1-111-1-1-111-11-1-11111-1-111-1-1-11-11-11
χ12111111-1-1-1-111-1-1-111-11-1-111-1-111-1-111-111-11-1
χ13111111-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii-11i−i−ii
χ14111111-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−i-11−iii−i
χ15111111-1-1-1-1-1-1-111-1-111-1-111ii−i−i−i−iii1-1−iii−i
χ16111111-1-1-1-1-1-1-111-1-111-1-111−i−iiiii−i−i1-1i−i−ii
χ1722222222-2-222222-2-2-2-2000000000000000000
χ1822222222-2-2-2-22-2-2222-2000000000000000000
χ19222222-2-22222-2-2-2-2-22-2000000000000000000
χ20222222-2-222-2-2-22222-2-2000000000000000000
χ2122-2-2-22002-20002i−2i2i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ2222-2-2-22002-20002i−2i2i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ2322-2-2-22002-2000−2i2i−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ2422-2-2-22002-2000−2i2i−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ2522-2-2-2200-220002i−2i−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000
χ2622-2-2-2200-220002i−2i−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000
χ2722-2-2-2200-22000−2i2i2i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000
χ2822-2-2-2200-22000−2i2i2i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000
χ294444-4-4440000-4000000000000000000000000
χ304444-4-4-4-400004000000000000000000000000
χ3144-4-44-400004-40000000000000000000000000
χ3244-4-44-40000-440000000000000000000000000
χ334-44-4004-4000000000002i−2i2i−2i00000000000000
χ344-44-4004-400000000000−2i2i−2i2i00000000000000
χ354-44-400-44000000000002i−2i−2i2i00000000000000
χ364-44-400-4400000000000−2i2i2i−2i00000000000000
χ378-8-88000000000000000000000000000000000

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