Extensions 1→N→G→Q→1 with N=Q8 and Q=C28

Direct product G=N×Q with N=Q8 and Q=C28
dρLabelID
Q8×C28224Q8xC28224,154

Semidirect products G=N:Q with N=Q8 and Q=C28
extensionφ:Q→Out NdρLabelID
Q81C28 = C7×Q8⋊C4φ: C28/C14C2 ⊆ Out Q8224Q8:1C28224,52
Q82C28 = C7×C4≀C2φ: C28/C14C2 ⊆ Out Q8562Q8:2C28224,53

Non-split extensions G=N.Q with N=Q8 and Q=C28
extensionφ:Q→Out NdρLabelID
Q8.C28 = C7×C8○D4φ: trivial image1122Q8.C28224,166

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