Extensions 1→N→G→Q→1 with N=C22 and Q=C2xC22

Direct product G=NxQ with N=C22 and Q=C2xC22
dρLabelID
C23xC22176C2^3xC22176,42

Semidirect products G=N:Q with N=C22 and Q=C2xC22
extensionφ:Q→Aut NdρLabelID
C22:(C2xC22) = D4xC22φ: C2xC22/C22C2 ⊆ Aut C2288C2^2:(C2xC22)176,38

Non-split extensions G=N.Q with N=C22 and Q=C2xC22
extensionφ:Q→Aut NdρLabelID
C22.(C2xC22) = C11xC4oD4φ: C2xC22/C22C2 ⊆ Aut C22882C2^2.(C2xC22)176,40
C22.2(C2xC22) = C11xC22:C4central extension (φ=1)88C2^2.2(C2xC22)176,20
C22.3(C2xC22) = C11xC4:C4central extension (φ=1)176C2^2.3(C2xC22)176,21
C22.4(C2xC22) = Q8xC22central extension (φ=1)176C2^2.4(C2xC22)176,39

׿
x
:
Z
F
o
wr
Q
<