Extensions 1→N→G→Q→1 with N=C4 and Q=C50

Direct product G=NxQ with N=C4 and Q=C50
dρLabelID
C2xC100200C2xC100200,9

Semidirect products G=N:Q with N=C4 and Q=C50
extensionφ:Q→Aut NdρLabelID
C4:C50 = D4xC25φ: C50/C25C2 ⊆ Aut C41002C4:C50200,10

Non-split extensions G=N.Q with N=C4 and Q=C50
extensionφ:Q→Aut NdρLabelID
C4.C50 = Q8xC25φ: C50/C25C2 ⊆ Aut C42002C4.C50200,11

׿
x
:
Z
F
o
wr
Q
<