# Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C44

Direct product G=N×Q with N=C22 and Q=C2×C44
dρLabelID
C23×C44352C2^3xC44352,188

Semidirect products G=N:Q with N=C22 and Q=C2×C44
extensionφ:Q→Aut NdρLabelID
C221(C2×C44) = D4×C44φ: C2×C44/C44C2 ⊆ Aut C22176C2^2:1(C2xC44)352,153
C222(C2×C44) = C22⋊C4×C22φ: C2×C44/C2×C22C2 ⊆ Aut C22176C2^2:2(C2xC44)352,150

Non-split extensions G=N.Q with N=C22 and Q=C2×C44
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C44) = C11×C8○D4φ: C2×C44/C44C2 ⊆ Aut C221762C2^2.1(C2xC44)352,166
C22.2(C2×C44) = C11×C23⋊C4φ: C2×C44/C2×C22C2 ⊆ Aut C22884C2^2.2(C2xC44)352,48
C22.3(C2×C44) = C11×C4.D4φ: C2×C44/C2×C22C2 ⊆ Aut C22884C2^2.3(C2xC44)352,49
C22.4(C2×C44) = C11×C4.10D4φ: C2×C44/C2×C22C2 ⊆ Aut C221764C2^2.4(C2xC44)352,50
C22.5(C2×C44) = C11×C42⋊C2φ: C2×C44/C2×C22C2 ⊆ Aut C22176C2^2.5(C2xC44)352,152
C22.6(C2×C44) = M4(2)×C22φ: C2×C44/C2×C22C2 ⊆ Aut C22176C2^2.6(C2xC44)352,165
C22.7(C2×C44) = C11×C2.C42central extension (φ=1)352C2^2.7(C2xC44)352,44
C22.8(C2×C44) = C11×C8⋊C4central extension (φ=1)352C2^2.8(C2xC44)352,46
C22.9(C2×C44) = C11×C22⋊C8central extension (φ=1)176C2^2.9(C2xC44)352,47
C22.10(C2×C44) = C11×C4⋊C8central extension (φ=1)352C2^2.10(C2xC44)352,54
C22.11(C2×C44) = C4⋊C4×C22central extension (φ=1)352C2^2.11(C2xC44)352,151

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