Finite Group Databasebeta

← Group #11913

Character table — Group #11913

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size112222244444444488888888881616161616161616
order1224488244488888481616161616161616224416161616
χ11111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i
χ61111111-1-1-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii
χ71111111-1-1-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii
χ81111111-1-1-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i
χ911111-1-11111-1-1-1-1-11-1ii−i−iii−i−i1-11-1i−ii−i
χ1011111-1-11111-1-1-1-1-11-1ii−i−iii−i−i-11-11−ii−ii
χ1111111-1-11111-1-1-1-1-11-1−i−iii−i−iii1-11-1−ii−ii
χ1211111-1-11111-1-1-1-1-11-1−i−iii−i−iii-11-11i−ii−i
χ1311111-1-1-1-1-1-1-111111-111-1-1-1-1111-1-111-1-11
χ1411111-1-1-1-1-1-1-111111-111-1-1-1-111-111-1-111-1
χ1511111-1-1-1-1-1-1-111111-1-1-11111-1-11-1-11-111-1
χ1611111-1-1-1-1-1-1-111111-1-1-11111-1-1-111-11-1-11
χ17222222222-2-2222-2-2-2-20000000000000000
χ182222222-2-2222-2-222-2-20000000000000000
χ1922222-2-222-2-2-2-2-222-220000000000000000
χ2022222-2-2-2-222-222-2-2-220000000000000000
χ2122-22-222002i−2i-2002i−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ2222-22-222002i−2i-2002i−2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ2322-22-22200−2i2i-200−2i2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ2422-22-22200−2i2i-200−2i2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ2522-22-2-2-2002i−2i200−2i2i001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ2622-22-2-2-2002i−2i200−2i2i00−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ2722-22-2-2-200−2i2i2002i−2i001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ2822-22-2-2-200−2i2i2002i−2i00−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ29444-4-4004-40000000000000000000000000
χ30444-4-400-440000000000000000000000000
χ3144-4-4400000004i−4i00000000000000000000
χ3244-4-440000000−4i4i00000000000000000000
χ338-800042−42000000000000000000000000000
χ348-8000−4242000000000000000000000000000

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