#Bash+coreutils, 361

Basic regex removal of the combos we don't want. Some mild compression of the regex:

a=({A..Z})
f=(BHJKVY CKP BEJQT A-DFHILNP-X BDI-LNOQX-Z A-HNPQS-WYZ JKOVXZ A-JLO-QSV-Z AF-KP B-DF-LNQ-Z A-DFJ-LOQS-VX DEGHJL-QWXZ BIJ BDHJKMNQSV-Y B-LN-Z B-DJO-QUVXZ B-L DFGJKQRTVX-Z PQW BEIQSUXY B-FH-JLN-RT-X BDFHJ-MO-TV-Z A-EG-KMNP-RTUW-Z _ A-DF-SW-Z B-LN-QS-VXY)
for i in ${!a[@]};{
s+="${a[i]}[${f[i]}]|"
}
echo {A..Z}{A..Z}|sed -r "s/Z /Z\n/g;s/${s%|}/  /g"

Bash+coreutils, 361

Basic regex removal of the combos we don't want. Some mild compression of the regex:

a=({A..Z})
f=(BHJKVY CKP BEJQT A-DFHILNP-X BDI-LNOQX-Z A-HNPQS-WYZ JKOVXZ A-JLO-QSV-Z AF-KP B-DF-LNQ-Z A-DFJ-LOQS-VX DEGHJL-QWXZ BIJ BDHJKMNQSV-Y B-LN-Z B-DJO-QUVXZ B-L DFGJKQRTVX-Z PQW BEIQSUXY B-FH-JLN-RT-X BDFHJ-MO-TV-Z A-EG-KMNP-RTUW-Z _ A-DF-SW-Z B-LN-QS-VXY)
for i in ${!a[@]};{
s+="${a[i]}[${f[i]}]|"
}
echo {A..Z}{A..Z}|sed -r "s/Z /Z\n/g;s/${s%|}/  /g"

#Bash+coreutils, 364

Basic regex removal of the combos we don't want. Some mild compression of the regex:

echo {A..Z}{A..Z}|sed -r "s/Z /Z\n/g;s/`sed 's/|/]|/g'<<<'A[BHJKVY|B[CKP|C[BEJQT|D[A-DFHILNP-X|E[BDI-LNOQX-Z|F[A-HNPQS-WYZ|G[JKOVXZ|H[A-JLO-QSV-Z|I[AF-KP|J[B-DF-LNQ-Z|K[A-DFJ-LOQS-VX|L[DEGHJL-QWXZ|M[BIJ|N[BDHJKMNQSV-Y|O[B-LN-Z|P[B-DJO-QUVXZ|Q[B-L|R[DFGJKQRTVX-Z|S[PQW|T[BEIQSUXY|U[B-FH-JLN-RT-X|V[BDFHJ-MO-TV-Z|W[A-EG-KMNP-RTUW-Z|Y[A-DF-SW-Z|Z[B-LN-QS-VXY]'`/  /g"

#Bash+coreutils, 361

Basic regex removal of the combos we don't want. Some mild compression of the regex:

a=({A..Z})
f=(BHJKVY CKP BEJQT A-DFHILNP-X BDI-LNOQX-Z A-HNPQS-WYZ JKOVXZ A-JLO-QSV-Z AF-KP B-DF-LNQ-Z A-DFJ-LOQS-VX DEGHJL-QWXZ BIJ BDHJKMNQSV-Y B-LN-Z B-DJO-QUVXZ B-L DFGJKQRTVX-Z PQW BEIQSUXY B-FH-JLN-RT-X BDFHJ-MO-TV-Z A-EG-KMNP-RTUW-Z _ A-DF-SW-Z B-LN-QS-VXY)
for i in ${!a[@]};{
s+="${a[i]}[${f[i]}]|"
}
echo {A..Z}{A..Z}|sed -r "s/Z /Z\n/g;s/${s%|}/  /g"

#Bash+coreutils, 367

Baisc regex removal of the combos we don't want:

echo {A..Z}{A..Z}|sed -r "s/Z /Z\n/g;s/A[BHJKVY]|B[CKP]|C[BEJQT]|D[A-DFHILNP-X]|E[BDI-LNOQX-Z]|F[A-HNPQS-WYZ]|G[JKOVXZ]|H[A-JLO-QSV-Z]|I[AF-KP]|J[B-DF-LNQ-Z]|K[A-DFJ-LOQS-VX]|L[DEGHJL-QWXZ]|M[BIJ]|N[BDHJKMNQSV-Y]|O[B-LN-Z]|P[B-DJO-QUVXZ]|Q[B-L]|R[DFGJKQRTVX-Z]|S[PQW]|T[BEIQSUXY]|U[B-FH-JLN-RT-X]|V[BDFHJ-MO-TV-Z]|W[A-EG-KMNP-RTUW-Z]|Y[A-DF-SW-Z]|Z[B-LN-QS-VXY]/  /g"

#Bash+coreutils, 364

Basic regex removal of the combos we don't want. Some mild compression of the regex:

echo {A..Z}{A..Z}|sed -r "s/Z /Z\n/g;s/`sed 's/|/]|/g'<<<'A[BHJKVY|B[CKP|C[BEJQT|D[A-DFHILNP-X|E[BDI-LNOQX-Z|F[A-HNPQS-WYZ|G[JKOVXZ|H[A-JLO-QSV-Z|I[AF-KP|J[B-DF-LNQ-Z|K[A-DFJ-LOQS-VX|L[DEGHJL-QWXZ|M[BIJ|N[BDHJKMNQSV-Y|O[B-LN-Z|P[B-DJO-QUVXZ|Q[B-L|R[DFGJKQRTVX-Z|S[PQW|T[BEIQSUXY|U[B-FH-JLN-RT-X|V[BDFHJ-MO-TV-Z|W[A-EG-KMNP-RTUW-Z|Y[A-DF-SW-Z|Z[B-LN-QS-VXY]'`/  /g"