Finite Group Databasebeta

← Group #85547

Character table — Group #85547

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size1333333366666662424242424242424128
order122244442444444244488883
χ1111111111111111111111111
χ2111111111111111-1-1-1-1-1-1-1-11
χ322222222222222200000000-1
χ43333-1-1-1-13-1-1-1-1-1-11111-1-1-1-10
χ53333-1-1-1-13-1-1-1-1-1-1-1-1-1-111110
χ633-1-1−1+2i−1+2i−1−2i−1−2i-11111−1+2i−1−2i11-1-1ii−i−i0
χ733-1-1−1+2i−1+2i−1−2i−1−2i-11111−1+2i−1−2i-1-111−i−iii0
χ833-1-1−1−2i−1−2i−1+2i−1+2i-11111−1−2i−1+2i11-1-1−i−iii0
χ933-1-1−1−2i−1−2i−1+2i−1+2i-11111−1−2i−1+2i-1-111ii−i−i0
χ103-13-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i111-11-1i−ii−i0
χ113-13-1−1+2i−1−2i−1+2i−1−2i-111−1+2i−1−2i11-11-11−ii−ii0
χ123-13-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i111-11-1−ii−ii0
χ133-13-1−1−2i−1+2i−1−2i−1+2i-111−1−2i−1+2i11-11-11i−ii−i0
χ143-1-133-1-13-13-1-1-1-1-11-1-111-1-110
χ153-1-133-1-13-13-1-1-1-1-1-111-1-111-10
χ163-1-13-133-1-1-13-1-1-1-11-1-11-111-10
χ173-1-13-133-1-1-13-1-1-1-1-111-11-1-110
χ1866-2-22222-2-2-2-2-222000000000
χ196-26-22222-2-2-222-2-2000000000
χ206-2-26-2-2-2-2-2-2-22222000000000
χ216-2-2-22−2+4i−2−4i22-222i−2i−2i2i000000000
χ226-2-2-22−2−4i−2+4i22-22−2i2i2i−2i000000000
χ236-2-2-2−2+4i22−2−4i22-2−2i2i−2i2i000000000
χ246-2-2-2−2−4i22−2+4i22-22i−2i2i−2i000000000

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