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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C44

Direct product G=N×Q with N=C4 and Q=C2×C44
dρLabelID
C2×C4×C44352C2xC4xC44352,149

Semidirect products G=N:Q with N=C4 and Q=C2×C44
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×C44) = D4×C44φ: C2×C44/C44 → C2 ⊆ Aut C4176C4:1(C2xC44)352,153
C4⋊2(C2×C44) = C4⋊C4×C22φ: C2×C44/C2×C22 → C2 ⊆ Aut C4352C4:2(C2xC44)352,151

Non-split extensions G=N.Q with N=C4 and Q=C2×C44
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C44) = C11×D4⋊C4φ: C2×C44/C44 → C2 ⊆ Aut C4176C4.1(C2xC44)352,51
C4.2(C2×C44) = C11×Q8⋊C4φ: C2×C44/C44 → C2 ⊆ Aut C4352C4.2(C2xC44)352,52
C4.3(C2×C44) = C11×C4≀C2φ: C2×C44/C44 → C2 ⊆ Aut C4882C4.3(C2xC44)352,53
C4.4(C2×C44) = Q8×C44φ: C2×C44/C44 → C2 ⊆ Aut C4352C4.4(C2xC44)352,154
C4.5(C2×C44) = C11×C8○D4φ: C2×C44/C44 → C2 ⊆ Aut C41762C4.5(C2xC44)352,166
C4.6(C2×C44) = C11×C4.Q8φ: C2×C44/C2×C22 → C2 ⊆ Aut C4352C4.6(C2xC44)352,55
C4.7(C2×C44) = C11×C2.D8φ: C2×C44/C2×C22 → C2 ⊆ Aut C4352C4.7(C2xC44)352,56
C4.8(C2×C44) = C11×C8.C4φ: C2×C44/C2×C22 → C2 ⊆ Aut C41762C4.8(C2xC44)352,57
C4.9(C2×C44) = C11×C42⋊C2φ: C2×C44/C2×C22 → C2 ⊆ Aut C4176C4.9(C2xC44)352,152
C4.10(C2×C44) = M4(2)×C22φ: C2×C44/C2×C22 → C2 ⊆ Aut C4176C4.10(C2xC44)352,165
C4.11(C2×C44) = C11×C8⋊C4central extension (φ=1)352C4.11(C2xC44)352,46
C4.12(C2×C44) = C11×M5(2)central extension (φ=1)1762C4.12(C2xC44)352,59

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