Extensions 1→N→G→Q→1 with N=C22 and Q=C2xC26

Direct product G=NxQ with N=C22 and Q=C2xC26
dρLabelID
C23xC26208C2^3xC26208,51

Semidirect products G=N:Q with N=C22 and Q=C2xC26
extensionφ:Q→Aut NdρLabelID
C22:(C2xC26) = D4xC26φ: C2xC26/C26C2 ⊆ Aut C22104C2^2:(C2xC26)208,46

Non-split extensions G=N.Q with N=C22 and Q=C2xC26
extensionφ:Q→Aut NdρLabelID
C22.(C2xC26) = C13xC4oD4φ: C2xC26/C26C2 ⊆ Aut C221042C2^2.(C2xC26)208,48
C22.2(C2xC26) = C13xC22:C4central extension (φ=1)104C2^2.2(C2xC26)208,21
C22.3(C2xC26) = C13xC4:C4central extension (φ=1)208C2^2.3(C2xC26)208,22
C22.4(C2xC26) = Q8xC26central extension (φ=1)208C2^2.4(C2xC26)208,47

׿
x
:
Z
F
o
wr
Q
<