Finite Group Databasebeta

← Group #11709111

Character table — Group #11709111

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111133333333333333333333666666666666666666666666666666666464646464646464
order1222222244444444444444448888888888888888888888888888888833666666
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411-1-11-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1
χ511-1-11-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ611-1-11-1-111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ72-22-2-22-2222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-1-111-111-1
χ82-22-2-22-2222222222-2-2-2-2-2-2-2-2000000000000000000000000000000001+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ92-22-2-22-2222222222-2-2-2-2-2-2-2-2000000000000000000000000000000001−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ102-2-22-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000-1-11-111-11
χ112-2-22-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000001+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ122-2-22-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000001−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ13333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1433333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i11111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i00000000
χ1533333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i11111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i00000000
χ1633333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i11111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i1111111100000000
χ1733333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i11111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i1111111100000000
χ183333-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2iii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ221+21−2−1−i2−1+i21+21−2−1−i2−1+i2ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ221+21−2−1−i2−1+i21+21−2−1−i2−1+i200000000
χ193333-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2iii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ221−21+2−1+i2−1−i21−21+2−1+i2−1−i2ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ221−21+2−1+i2−1−i21−21+2−1+i2−1−i200000000
χ203333-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i−1−i2−1+i21+21−2−1+i2−1−i21−21+22ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i−1−i2−1+i21+21−2−1+i2−1−i21−21+200000000
χ213333-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−1+i2−1−i21−21+2−1−i2−1+i21+21−2−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−1+i2−1−i21−21+2−1−i2−1+i21+21−200000000
χ223333-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ231+21−2−1+i2−1−i21+21−2−1+i2−1−i2−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ231+21−2−1+i2−1−i21+21−2−1+i2−1−i200000000
χ233333-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ231−21+2−1−i2−1+i21−21+2−1−i2−1+i2−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ231−21+2−1−i2−1+i21−21+2−1−i2−1+i200000000
χ243333-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−1+i2−1−i21+21−2−1−i2−1+i21−21+2−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−1+i2−1−i21+21−2−1−i2−1+i21−21+200000000
χ253333-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii−1−i2−1+i21−21+2−1+i2−1−i21+21−22ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii−1−i2−1+i21−21+2−1+i2−1−i21+21−200000000
χ263333-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i111+21−2−1−i2−1+i21+21−2−1+i2−1−i2ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ221+21−2−1−i2−1+i21+21−2−1+i2−1−i2ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ2200000000
χ273333-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i111−21+2−1+i2−1−i21−21+2−1−i2−1+i2ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ221−21+2−1+i2−1−i21−21+2−1−i2−1+i2ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ2200000000
χ283333-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1−i2−1+i21+21−2−1+i2−1−i21+21−2−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−1−i2−1+i21+21−2−1+i2−1−i21+21−2−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i00000000
χ293333-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+i2−1−i21−21+2−1−i2−1+i21−21+22ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i−1+i2−1−i21−21+2−1−i2−1+i21−21+22ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i00000000
χ303333-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i111+21−2−1+i2−1−i21+21−2−1−i2−1+i2−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ231+21−2−1+i2−1−i21+21−2−1−i2−1+i2−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ2300000000
χ313333-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i111−21+2−1−i2−1+i21−21+2−1+i2−1−i2−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ231−21+2−1−i2−1+i21−21+2−1+i2−1−i2−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ2300000000
χ323333-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−i2−1+i21−21+2−1+i2−1−i21−21+2−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−1−i2−1+i21−21+2−1+i2−1−i21−21+2−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii00000000
χ333333-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1+i2−1−i21+21−2−1−i2−1+i21+21−22ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii−1+i2−1−i21+21−2−1−i2−1+i21+21−22ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii00000000
χ3433-3-33-3-333333-3-3-3-3-3-3-3-33333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000
χ3533-3-33-3-33-1-1-1-111111111-1-1-1-111111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i-1-1-1-1-1-1-1-11−2i1−2i1−2i1−2i1+2i1+2i1+2i1+2i00000000
χ3633-3-33-3-33-1-1-1-111111111-1-1-1-111111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i-1-1-1-1-1-1-1-11+2i1+2i1+2i1+2i1−2i1−2i1−2i1−2i00000000
χ3733-3-33-3-33-1-1-1-111111111-1-1-1-1−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i111111111−2i1−2i1−2i1−2i1+2i1+2i1+2i1+2i-1-1-1-1-1-1-1-100000000
χ3833-3-33-3-33-1-1-1-111111111-1-1-1-1−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i111111111+2i1+2i1+2i1+2i1−2i1−2i1−2i1−2i-1-1-1-1-1-1-1-100000000
χ3933-3-3-111-111−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i11−1+2i−1−2iii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ221+21−2−1−i2−1+i21+21−2−1−i2−1+i2−i−i−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23ii2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22−1−2−1+21+i21−i2−1−2−1+21+i21−i200000000
χ4033-3-3-111-111−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i11−1+2i−1−2iii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ221−21+2−1+i2−1−i21−21+2−1+i2−1−i2−i−i2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23ii−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22−1+2−1−21−i21+i2−1+2−1−21−i21+i200000000
χ4133-3-3-111-111−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i11−1+2i−1−2i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i−1−i2−1+i21+21−2−1+i2−1−i21−21+2−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23−i−i2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22ii1+i21−i2−1−2−1+21−i21+i2−1+2−1−200000000
χ4233-3-3-111-111−1+2i−1−2i-1-11−2i1+2i-1-11−2i1+2i11−1+2i−1−2i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−1+i2−1−i21−21+2−1−i2−1+i21+21−22ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23−i−i−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22ii1−i21+i2−1+2−1−21+i21−i2−1−2−1+200000000
χ4333-3-3-111-111−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i11−1−2i−1+2i−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ231+21−2−1+i2−1−i21+21−2−1+i2−1−i2ii2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22−i−i−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23−1−2−1+21−i21+i2−1−2−1+21−i21+i200000000
χ4433-3-3-111-111−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i11−1−2i−1+2i−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ231−21+2−1−i2−1+i21−21+2−1−i2−1+i2ii−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22−i−i2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23−1+2−1−21+i21−i2−1+2−1−21+i21−i200000000
χ4533-3-3-111-111−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i11−1−2i−1+2i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−1+i2−1−i21+21−2−1−i2−1+i21−21+22ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22ii−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23−i−i1−i21+i2−1−2−1+21+i21−i2−1+2−1−200000000
χ4633-3-3-111-111−1−2i−1+2i-1-11+2i1−2i-1-11+2i1−2i11−1−2i−1+2i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii−1−i2−1+i21−21+2−1+i2−1−i21+21−2−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22ii2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23−i−i1+i21−i2−1+2−1−21−i21+i2−1−2−1+200000000
χ4733-3-3-111-1−1+2i−1−2i111−2i1+2i-1-11−2i1+2i-1-1−1+2i−1−2i111+21−2−1−i2−1+i21+21−2−1+i2−1−i2ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−1−2−1+21+i21−i2−1−2−1+21−i21+i2−i−i2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23ii2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ2200000000
χ4833-3-3-111-1−1+2i−1−2i111−2i1+2i-1-11−2i1+2i-1-1−1+2i−1−2i111−21+2−1+i2−1−i21−21+2−1−i2−1+i2ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−1+2−1−21−i21+i2−1+2−1−21+i21−i2−i−i−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23ii−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ2200000000
χ4933-3-3-111-1−1+2i−1−2i111−2i1+2i-1-11−2i1+2i-1-1−1+2i−1−2i11−1−i2−1+i21+21−2−1+i2−1−i21+21−2−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i1+i21−i2−1−2−1+21−i21+i2−1−2−1+22ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23−i−i−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22ii00000000
χ5033-3-3-111-1−1+2i−1−2i111−2i1+2i-1-11−2i1+2i-1-1−1+2i−1−2i11−1+i2−1−i21−21+2−1−i2−1+i21−21+22ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i1−i21+i2−1+2−1−21+i21−i2−1+2−1−2−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23−i−i2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22ii00000000
χ5133-3-3-111-1−1−2i−1+2i111+2i1−2i-1-11+2i1−2i-1-1−1−2i−1+2i111+21−2−1+i2−1−i21+21−2−1−i2−1+i2−i−i2ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22ii2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23−1−2−1+21−i21+i2−1−2−1+21+i21−i2ii−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22−i−i−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ2300000000
χ5233-3-3-111-1−1−2i−1+2i111+2i1−2i-1-11+2i1−2i-1-1−1−2i−1+2i111−21+2−1−i2−1+i21−21+2−1+i2−1−i2−i−i−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22ii−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23−1+2−1−21+i21−i2−1+2−1−21−i21+i2ii2ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22−i−i2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ2300000000
χ5333-3-3-111-1−1−2i−1+2i111+2i1−2i-1-11+2i1−2i-1-1−1−2i−1+2i11−1−i2−1+i21−21+2−1+i2−1−i21−21+2−2ζ5−2ζ13−ζ14−ζ222ζ5+2ζ13−ζ14−ζ22−i−i2ζ7+ζ14+ζ22+2ζ23−2ζ7+ζ14+ζ22−2ζ23ii1+i21−i2−1+2−1−21−i21+i2−1+2−1−22ζ5+2ζ13+ζ14+ζ22−2ζ5−2ζ13+ζ14+ζ22ii−2ζ7−ζ14−ζ22−2ζ232ζ7−ζ14−ζ22+2ζ23−i−i00000000
χ5433-3-3-111-1−1−2i−1+2i111+2i1−2i-1-11+2i1−2i-1-1−1−2i−1+2i11−1+i2−1−i21+21−2−1−i2−1+i21+21−22ζ5+2ζ13−ζ14−ζ22−2ζ5−2ζ13−ζ14−ζ22−i−i−2ζ7+ζ14+ζ22−2ζ232ζ7+ζ14+ζ22+2ζ23ii1−i21+i2−1−2−1+21+i21−i2−1−2−1+2−2ζ5−2ζ13+ζ14+ζ222ζ5+2ζ13+ζ14+ζ22ii2ζ7−ζ14−ζ22+2ζ23−2ζ7−ζ14−ζ22−2ζ23−i−i00000000
χ556-66-62-22-222−2+4i−2−4i22−2+4i−2−4i-2-22−4i2+4i-2-22−4i2+4i0000000000000000000000000000000000000000
χ566-66-62-22-222−2−4i−2+4i22−2−4i−2+4i-2-22+4i2−4i-2-22+4i2−4i0000000000000000000000000000000000000000
χ576-66-62-22-2−2+4i−2−4i22−2+4i−2−4i222−4i2+4i-2-22−4i2+4i-2-20000000000000000000000000000000000000000
χ586-66-62-22-2−2−4i−2+4i22−2−4i−2+4i222+4i2−4i-2-22+4i2−4i-2-20000000000000000000000000000000000000000
χ596-66-6-66-66-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ606-6-6622-2-222−2+4i−2−4i-2-22−4i2+4i22−2+4i−2−4i-2-22−4i2+4i0000000000000000000000000000000000000000
χ616-6-6622-2-222−2−4i−2+4i-2-22+4i2−4i22−2−4i−2+4i-2-22+4i2−4i0000000000000000000000000000000000000000
χ626-6-6622-2-2−2+4i−2−4i222−4i2+4i-2-2−2+4i−2−4i222−4i2+4i-2-20000000000000000000000000000000000000000
χ636-6-6622-2-2−2−4i−2+4i222+4i2−4i-2-2−2−4i−2+4i222+4i2−4i-2-20000000000000000000000000000000000000000
χ646-6-66-6-666-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.