Extensions 1→N→G→Q→1 with N=C2xC7:C3 and Q=C6

Direct product G=NxQ with N=C2xC7:C3 and Q=C6
dρLabelID
C2xC6xC7:C384C2xC6xC7:C3252,38

Semidirect products G=N:Q with N=C2xC7:C3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xC7:C3):C6 = C6xF7φ: C6/C3C2 ⊆ Out C2xC7:C3426(C2xC7:C3):C6252,28

Non-split extensions G=N.Q with N=C2xC7:C3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xC7:C3).C6 = C3xC7:C12φ: C6/C3C2 ⊆ Out C2xC7:C3846(C2xC7:C3).C6252,16
(C2xC7:C3).2C6 = C12xC7:C3φ: trivial image843(C2xC7:C3).2C6252,19

׿
x
:
Z
F
o
wr
Q
<