Finite Group Databasebeta

← Group #11770

Character table — Group #11770

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size112222244444444488888888881616161616161616
order12244882444888884444488888224416161616
χ11111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ411111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-11-1-1-1-11ii−i−i1ii−i−i11-1-1ii−i−i
χ61111111-1-1-1-11-1-1-1-11ii−i−i1ii−i−i-1-111−i−iii
χ71111111-1-1-1-11-1-1-1-11−i−iii1−i−iii11-1-1−i−iii
χ81111111-1-1-1-11-1-1-1-11−i−iii1−i−iii-1-111ii−i−i
χ911111-1-11-1-11-1-1-111-111111-1-1-1-11-11-11-11-1
χ1011111-1-11-1-11-1-1-111-111111-1-1-1-1-11-11-11-11
χ1111111-1-11-1-11-1-1-111-1-1-1-1-1111111-11-1-11-11
χ1211111-1-11-1-11-1-1-111-1-1-1-1-111111-11-111-11-1
χ1311111-1-1-111-1-111-1-1-1ii−i−i1−i−iii1-1-11i−i−ii
χ1411111-1-1-111-1-111-1-1-1ii−i−i1−i−iii-111-1−iii−i
χ1511111-1-1-111-1-111-1-1-1−i−iii1ii−i−i1-1-11−iii−i
χ1611111-1-1-111-1-111-1-1-1−i−iii1ii−i−i-111-1i−i−ii
χ1722222222-2-22222-2-2-20000-2000000000000
χ182222222-222-22-2-222-20000-2000000000000
χ1922222-2-22222-2-2-2-2-220000-2000000000000
χ2022222-2-2-2-2-2-2-2222220000-2000000000000
χ2122-22-22202i−2i0-2002i−2i01+i−1−i1−i−1+i01+i−1−i1−i−1+i00000000
χ2222-22-22202i−2i0-2002i−2i0−1−i1+i−1+i1−i0−1−i1+i−1+i1−i00000000
χ2322-22-2220−2i2i0-200−2i2i01−i−1+i1+i−1−i01−i−1+i1+i−1−i00000000
χ2422-22-2220−2i2i0-200−2i2i0−1+i1−i−1−i1+i0−1+i1−i−1−i1+i00000000
χ2522-22-2-2-202i−2i0200−2i2i01−i−1+i1+i−1−i0−1+i1−i−1−i1+i00000000
χ2622-22-2-2-202i−2i0200−2i2i0−1+i1−i−1−i1+i01−i−1+i1+i−1−i00000000
χ2722-22-2-2-20−2i2i02002i−2i01+i−1−i1−i−1+i0−1−i1+i−1+i1−i00000000
χ2822-22-2-2-20−2i2i02002i−2i0−1−i1+i−1+i1−i01+i−1−i1−i−1+i00000000
χ29444-4-400400-400000000000000000000000
χ30444-4-400-400400000000000000000000000
χ3144-4-4400000004i−4i00000000000000000000
χ3244-4-440000000−4i4i00000000000000000000
χ338-800042−42000000000000000000000000000
χ348-8000−4242000000000000000000000000000

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