Extensions 1→N→G→Q→1 with N=A4:C4 and Q=C10

Direct product G=NxQ with N=A4:C4 and Q=C10
dρLabelID
C10xA4:C4120C10xA4:C4480,1022

Semidirect products G=N:Q with N=A4:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
A4:C4:C10 = C5xA4:D4φ: C10/C5C2 ⊆ Out A4:C4606A4:C4:C10480,1023
A4:C4:2C10 = C20xS4φ: trivial image603A4:C4:2C10480,1014

Non-split extensions G=N.Q with N=A4:C4 and Q=C10
extensionφ:Q→Out NdρLabelID
A4:C4.C10 = C5xA4:Q8φ: C10/C5C2 ⊆ Out A4:C41206A4:C4.C10480,1013

׿
x
:
Z
F
o
wr
Q
<