Extensions 1→N→G→Q→1 with N=Q8xD7 and Q=C4

Direct product G=NxQ with N=Q8xD7 and Q=C4
dρLabelID
C4xQ8xD7224C4xQ8xD7448,1024

Semidirect products G=N:Q with N=Q8xD7 and Q=C4
extensionφ:Q→Out NdρLabelID
(Q8xD7):1C4 = D7xQ8:C4φ: C4/C2C2 ⊆ Out Q8xD7224(Q8xD7):1C4448,335
(Q8xD7):2C4 = (Q8xD7):C4φ: C4/C2C2 ⊆ Out Q8xD7224(Q8xD7):2C4448,336
(Q8xD7):3C4 = D7xC4wrC2φ: C4/C2C2 ⊆ Out Q8xD7564(Q8xD7):3C4448,354
(Q8xD7):4C4 = C42:D14φ: C4/C2C2 ⊆ Out Q8xD71124(Q8xD7):4C4448,355
(Q8xD7):5C4 = C42.125D14φ: C4/C2C2 ⊆ Out Q8xD7224(Q8xD7):5C4448,1025

Non-split extensions G=N.Q with N=Q8xD7 and Q=C4
extensionφ:Q→Out NdρLabelID
(Q8xD7).C4 = C56.49C23φ: C4/C2C2 ⊆ Out Q8xD71124(Q8xD7).C4448,1203
(Q8xD7).2C4 = D7xC8oD4φ: trivial image1124(Q8xD7).2C4448,1202

׿
x
:
Z
F
o
wr
Q
<