Extensions 1→N→G→Q→1 with N=C22 and Q=Dic22

Direct product G=NxQ with N=C22 and Q=Dic22
dρLabelID
C22xDic22352C2^2xDic22352,173

Semidirect products G=N:Q with N=C22 and Q=Dic22
extensionφ:Q→Aut NdρLabelID
C22:1Dic22 = C22:Dic22φ: Dic22/Dic11C2 ⊆ Aut C22176C2^2:1Dic22352,73
C22:2Dic22 = C44.48D4φ: Dic22/C44C2 ⊆ Aut C22176C2^2:2Dic22352,119

Non-split extensions G=N.Q with N=C22 and Q=Dic22
extensionφ:Q→Aut NdρLabelID
C22.1Dic22 = C44.53D4φ: Dic22/Dic11C2 ⊆ Aut C221764C2^2.1Dic22352,28
C22.2Dic22 = C88.C4φ: Dic22/C44C2 ⊆ Aut C221762C2^2.2Dic22352,25
C22.3Dic22 = C22.C42central extension (φ=1)352C2^2.3Dic22352,37
C22.4Dic22 = C2xDic11:C4central extension (φ=1)352C2^2.4Dic22352,118
C22.5Dic22 = C2xC44:C4central extension (φ=1)352C2^2.5Dic22352,120

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