Extensions 1→N→G→Q→1 with N=C4oD8 and Q=D5

Direct product G=NxQ with N=C4oD8 and Q=D5
dρLabelID
D5xC4oD8804D5xC4oD8320,1439

Semidirect products G=N:Q with N=C4oD8 and Q=D5
extensionφ:Q→Out NdρLabelID
C4oD8:1D5 = C40.30C23φ: D5/C5C2 ⊆ Out C4oD81604C4oD8:1D5320,821
C4oD8:2D5 = D8:D10φ: D5/C5C2 ⊆ Out C4oD8804+C4oD8:2D5320,820
C4oD8:3D5 = Q16:D10φ: D5/C5C2 ⊆ Out C4oD8804C4oD8:3D5320,1440
C4oD8:4D5 = D8:15D10φ: D5/C5C2 ⊆ Out C4oD8804+C4oD8:4D5320,1441
C4oD8:5D5 = D8:11D10φ: D5/C5C2 ⊆ Out C4oD8804C4oD8:5D5320,1442
C4oD8:6D5 = D20.47D4φ: D5/C5C2 ⊆ Out C4oD81604-C4oD8:6D5320,1443

Non-split extensions G=N.Q with N=C4oD8 and Q=D5
extensionφ:Q→Out NdρLabelID
C4oD8.1D5 = C20.58D8φ: D5/C5C2 ⊆ Out C4oD81604C4oD8.1D5320,125
C4oD8.2D5 = D8:2Dic5φ: D5/C5C2 ⊆ Out C4oD8804C4oD8.2D5320,124
C4oD8.3D5 = C40.31C23φ: D5/C5C2 ⊆ Out C4oD81604-C4oD8.3D5320,822
C4oD8.4D5 = D8:4Dic5φ: D5/C5C2 ⊆ Out C4oD8804C4oD8.4D5320,824
C4oD8.5D5 = D8:5Dic5φ: trivial image804C4oD8.5D5320,823

׿
x
:
Z
F
o
wr
Q
<