Extensions 1→N→G→Q→1 with N=C22 and Q=D44

Direct product G=NxQ with N=C22 and Q=D44
dρLabelID
C22xD44176C2^2xD44352,175

Semidirect products G=N:Q with N=C22 and Q=D44
extensionφ:Q→Aut NdρLabelID
C22:1D44 = C44:7D4φ: D44/C44C2 ⊆ Aut C22176C2^2:1D44352,125
C22:2D44 = C22:D44φ: D44/D22C2 ⊆ Aut C2288C2^2:2D44352,77

Non-split extensions G=N.Q with N=C22 and Q=D44
extensionφ:Q→Aut NdρLabelID
C22.1D44 = D88:7C2φ: D44/C44C2 ⊆ Aut C221762C2^2.1D44352,99
C22.2D44 = C22.2D44φ: D44/D22C2 ⊆ Aut C22884C2^2.2D44352,12
C22.3D44 = D44:4C4φ: D44/D22C2 ⊆ Aut C22884C2^2.3D44352,31
C22.4D44 = C22.D44φ: D44/D22C2 ⊆ Aut C22176C2^2.4D44352,81
C22.5D44 = C8:D22φ: D44/D22C2 ⊆ Aut C22884+C2^2.5D44352,103
C22.6D44 = C8.D22φ: D44/D22C2 ⊆ Aut C221764-C2^2.6D44352,104
C22.7D44 = C44.44D4central extension (φ=1)352C2^2.7D44352,22
C22.8D44 = C44.4Q8central extension (φ=1)352C2^2.8D44352,23
C22.9D44 = C44.5Q8central extension (φ=1)352C2^2.9D44352,24
C22.10D44 = C2.D88central extension (φ=1)176C2^2.10D44352,27
C22.11D44 = C22.C42central extension (φ=1)352C2^2.11D44352,37
C22.12D44 = C2xC8:D11central extension (φ=1)176C2^2.12D44352,97
C22.13D44 = C2xD88central extension (φ=1)176C2^2.13D44352,98
C22.14D44 = C2xDic44central extension (φ=1)352C2^2.14D44352,100
C22.15D44 = C2xC44:C4central extension (φ=1)352C2^2.15D44352,120
C22.16D44 = C2xD22:C4central extension (φ=1)176C2^2.16D44352,122

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