Extensions 1→N→G→Q→1 with N=C2×C13⋊C4 and Q=C22

Direct product G=N×Q with N=C2×C13⋊C4 and Q=C22
dρLabelID
C23×C13⋊C4104C2^3xC13:C4416,233

Semidirect products G=N:Q with N=C2×C13⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C13⋊C4)⋊C22 = C2×D13.D4φ: C22/C2C2 ⊆ Out C2×C13⋊C4104(C2xC13:C4):C2^2416,211

Non-split extensions G=N.Q with N=C2×C13⋊C4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C13⋊C4).1C22 = C2×C52⋊C4φ: C22/C2C2 ⊆ Out C2×C13⋊C4104(C2xC13:C4).1C2^2416,203
(C2×C13⋊C4).2C22 = D26.C23φ: C22/C2C2 ⊆ Out C2×C13⋊C41044(C2xC13:C4).2C2^2416,204
(C2×C13⋊C4).3C22 = D4×C13⋊C4φ: C22/C2C2 ⊆ Out C2×C13⋊C4528+(C2xC13:C4).3C2^2416,206
(C2×C13⋊C4).4C22 = Q8×C13⋊C4φ: C22/C2C2 ⊆ Out C2×C13⋊C41048-(C2xC13:C4).4C2^2416,208
(C2×C13⋊C4).5C22 = C2×C4×C13⋊C4φ: trivial image104(C2xC13:C4).5C2^2416,202

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