Extensions 1→N→G→Q→1 with N=Q8xC13 and Q=C2

Direct product G=NxQ with N=Q8xC13 and Q=C2
dρLabelID
Q8xC26208Q8xC26208,47

Semidirect products G=N:Q with N=Q8xC13 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8xC13):1C2 = Q8:D13φ: C2/C1C2 ⊆ Out Q8xC131044+(Q8xC13):1C2208,17
(Q8xC13):2C2 = Q8xD13φ: C2/C1C2 ⊆ Out Q8xC131044-(Q8xC13):2C2208,41
(Q8xC13):3C2 = D52:C2φ: C2/C1C2 ⊆ Out Q8xC131044+(Q8xC13):3C2208,42
(Q8xC13):4C2 = C13xSD16φ: C2/C1C2 ⊆ Out Q8xC131042(Q8xC13):4C2208,26
(Q8xC13):5C2 = C13xC4oD4φ: trivial image1042(Q8xC13):5C2208,48

Non-split extensions G=N.Q with N=Q8xC13 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8xC13).1C2 = C13:Q16φ: C2/C1C2 ⊆ Out Q8xC132084-(Q8xC13).1C2208,18
(Q8xC13).2C2 = C13xQ16φ: C2/C1C2 ⊆ Out Q8xC132082(Q8xC13).2C2208,27

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