Extensions 1→N→G→Q→1 with N=Q8 and Q=C14

Direct product G=N×Q with N=Q8 and Q=C14
dρLabelID
Q8×C14112Q8xC14112,39

Semidirect products G=N:Q with N=Q8 and Q=C14
extensionφ:Q→Out NdρLabelID
Q8⋊C14 = C7×SD16φ: C14/C7C2 ⊆ Out Q8562Q8:C14112,25
Q82C14 = C7×C4○D4φ: trivial image562Q8:2C14112,40

Non-split extensions G=N.Q with N=Q8 and Q=C14
extensionφ:Q→Out NdρLabelID
Q8.C14 = C7×Q16φ: C14/C7C2 ⊆ Out Q81122Q8.C14112,26

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