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Extensions 1→N→G→Q→1 with N=C4 and Q=D4×C11

Direct product G=N×Q with N=C4 and Q=D4×C11
dρLabelID
D4×C44176D4xC44352,153

Semidirect products G=N:Q with N=C4 and Q=D4×C11
extensionφ:Q→Aut NdρLabelID
C4⋊1(D4×C11) = C11×C4⋊1D4φ: D4×C11/C44 → C2 ⊆ Aut C4176C4:1(D4xC11)352,162
C4⋊2(D4×C11) = C11×C4⋊D4φ: D4×C11/C2×C22 → C2 ⊆ Aut C4176C4:2(D4xC11)352,156

Non-split extensions G=N.Q with N=C4 and Q=D4×C11
extensionφ:Q→Aut NdρLabelID
C4.1(D4×C11) = C11×D16φ: D4×C11/C44 → C2 ⊆ Aut C41762C4.1(D4xC11)352,60
C4.2(D4×C11) = C11×SD32φ: D4×C11/C44 → C2 ⊆ Aut C41762C4.2(D4xC11)352,61
C4.3(D4×C11) = C11×Q32φ: D4×C11/C44 → C2 ⊆ Aut C43522C4.3(D4xC11)352,62
C4.4(D4×C11) = C11×C4.4D4φ: D4×C11/C44 → C2 ⊆ Aut C4176C4.4(D4xC11)352,159
C4.5(D4×C11) = C11×C4⋊Q8φ: D4×C11/C44 → C2 ⊆ Aut C4352C4.5(D4xC11)352,163
C4.6(D4×C11) = D8×C22φ: D4×C11/C44 → C2 ⊆ Aut C4176C4.6(D4xC11)352,167
C4.7(D4×C11) = SD16×C22φ: D4×C11/C44 → C2 ⊆ Aut C4176C4.7(D4xC11)352,168
C4.8(D4×C11) = Q16×C22φ: D4×C11/C44 → C2 ⊆ Aut C4352C4.8(D4xC11)352,169
C4.9(D4×C11) = C11×C4.D4φ: D4×C11/C2×C22 → C2 ⊆ Aut C4884C4.9(D4xC11)352,49
C4.10(D4×C11) = C11×C4.10D4φ: D4×C11/C2×C22 → C2 ⊆ Aut C41764C4.10(D4xC11)352,50
C4.11(D4×C11) = C11×D4⋊C4φ: D4×C11/C2×C22 → C2 ⊆ Aut C4176C4.11(D4xC11)352,51
C4.12(D4×C11) = C11×Q8⋊C4φ: D4×C11/C2×C22 → C2 ⊆ Aut C4352C4.12(D4xC11)352,52
C4.13(D4×C11) = C11×C22⋊Q8φ: D4×C11/C2×C22 → C2 ⊆ Aut C4176C4.13(D4xC11)352,157
C4.14(D4×C11) = C11×C8⋊C22φ: D4×C11/C2×C22 → C2 ⊆ Aut C4884C4.14(D4xC11)352,171
C4.15(D4×C11) = C11×C8.C22φ: D4×C11/C2×C22 → C2 ⊆ Aut C41764C4.15(D4xC11)352,172
C4.16(D4×C11) = C11×C22⋊C8central extension (φ=1)176C4.16(D4xC11)352,47
C4.17(D4×C11) = C11×C4≀C2central extension (φ=1)882C4.17(D4xC11)352,53
C4.18(D4×C11) = C11×C4⋊C8central extension (φ=1)352C4.18(D4xC11)352,54
C4.19(D4×C11) = C11×C8.C4central extension (φ=1)1762C4.19(D4xC11)352,57
C4.20(D4×C11) = C11×C4○D8central extension (φ=1)1762C4.20(D4xC11)352,170

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