Extensions 1→N→G→Q→1 with N=C5:D4 and Q=C22

Direct product G=NxQ with N=C5:D4 and Q=C22
dρLabelID
C22xC5:D480C2^2xC5:D4160,227

Semidirect products G=N:Q with N=C5:D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C5:D4:1C22 = C2xD4xD5φ: C22/C2C2 ⊆ Out C5:D440C5:D4:1C2^2160,217
C5:D4:2C22 = C2xD4:2D5φ: C22/C2C2 ⊆ Out C5:D480C5:D4:2C2^2160,218
C5:D4:3C22 = D4:6D10φ: C22/C2C2 ⊆ Out C5:D4404C5:D4:3C2^2160,219
C5:D4:4C22 = D5xC4oD4φ: C22/C2C2 ⊆ Out C5:D4404C5:D4:4C2^2160,223
C5:D4:5C22 = D4:8D10φ: C22/C2C2 ⊆ Out C5:D4404+C5:D4:5C2^2160,224
C5:D4:6C22 = C2xC4oD20φ: trivial image80C5:D4:6C2^2160,216

Non-split extensions G=N.Q with N=C5:D4 and Q=C22
extensionφ:Q→Out NdρLabelID
C5:D4.C22 = D4.10D10φ: C22/C2C2 ⊆ Out C5:D4804-C5:D4.C2^2160,225
C5:D4.2C22 = Q8.10D10φ: trivial image804C5:D4.2C2^2160,222

׿
x
:
Z
F
o
wr
Q
<