# Extensions 1→N→G→Q→1 with N=C22 and Q=D4×C11

Direct product G=N×Q with N=C22 and Q=D4×C11
dρLabelID
D4×C2×C22176D4xC2xC22352,189

Semidirect products G=N:Q with N=C22 and Q=D4×C11
extensionφ:Q→Aut NdρLabelID
C221(D4×C11) = C11×C4⋊D4φ: D4×C11/C44C2 ⊆ Aut C22176C2^2:1(D4xC11)352,156
C222(D4×C11) = C11×C22≀C2φ: D4×C11/C2×C22C2 ⊆ Aut C2288C2^2:2(D4xC11)352,155

Non-split extensions G=N.Q with N=C22 and Q=D4×C11
extensionφ:Q→Aut NdρLabelID
C22.1(D4×C11) = C11×C4○D8φ: D4×C11/C44C2 ⊆ Aut C221762C2^2.1(D4xC11)352,170
C22.2(D4×C11) = C11×C23⋊C4φ: D4×C11/C2×C22C2 ⊆ Aut C22884C2^2.2(D4xC11)352,48
C22.3(D4×C11) = C11×C4≀C2φ: D4×C11/C2×C22C2 ⊆ Aut C22882C2^2.3(D4xC11)352,53
C22.4(D4×C11) = C11×C22.D4φ: D4×C11/C2×C22C2 ⊆ Aut C22176C2^2.4(D4xC11)352,158
C22.5(D4×C11) = C11×C8⋊C22φ: D4×C11/C2×C22C2 ⊆ Aut C22884C2^2.5(D4xC11)352,171
C22.6(D4×C11) = C11×C8.C22φ: D4×C11/C2×C22C2 ⊆ Aut C221764C2^2.6(D4xC11)352,172
C22.7(D4×C11) = C11×C2.C42central extension (φ=1)352C2^2.7(D4xC11)352,44
C22.8(D4×C11) = C11×D4⋊C4central extension (φ=1)176C2^2.8(D4xC11)352,51
C22.9(D4×C11) = C11×Q8⋊C4central extension (φ=1)352C2^2.9(D4xC11)352,52
C22.10(D4×C11) = C11×C4.Q8central extension (φ=1)352C2^2.10(D4xC11)352,55
C22.11(D4×C11) = C11×C2.D8central extension (φ=1)352C2^2.11(D4xC11)352,56
C22.12(D4×C11) = C22⋊C4×C22central extension (φ=1)176C2^2.12(D4xC11)352,150
C22.13(D4×C11) = C4⋊C4×C22central extension (φ=1)352C2^2.13(D4xC11)352,151
C22.14(D4×C11) = D8×C22central extension (φ=1)176C2^2.14(D4xC11)352,167
C22.15(D4×C11) = SD16×C22central extension (φ=1)176C2^2.15(D4xC11)352,168
C22.16(D4×C11) = Q16×C22central extension (φ=1)352C2^2.16(D4xC11)352,169

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