Extensions 1→N→G→Q→1 with N=C22 and Q=Q8

Direct product G=NxQ with N=C22 and Q=Q8
dρLabelID
C22xQ832C2^2xQ832,47

Semidirect products G=N:Q with N=C22 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C22:Q8 = C22:Q8φ: Q8/C4C2 ⊆ Aut C2216C2^2:Q832,29

Non-split extensions G=N.Q with N=C22 and Q=Q8
extensionφ:Q→Aut NdρLabelID
C22.Q8 = C8.C4φ: Q8/C4C2 ⊆ Aut C22162C2^2.Q832,15
C22.2Q8 = C2.C42central extension (φ=1)32C2^2.2Q832,2
C22.3Q8 = C2xC4:C4central extension (φ=1)32C2^2.3Q832,23

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