Extensions 1→N→G→Q→1 with N=Q8 and Q=C44

Direct product G=N×Q with N=Q8 and Q=C44
dρLabelID
Q8×C44352Q8xC44352,154

Semidirect products G=N:Q with N=Q8 and Q=C44
extensionφ:Q→Out NdρLabelID
Q81C44 = C11×Q8⋊C4φ: C44/C22C2 ⊆ Out Q8352Q8:1C44352,52
Q82C44 = C11×C4≀C2φ: C44/C22C2 ⊆ Out Q8882Q8:2C44352,53

Non-split extensions G=N.Q with N=Q8 and Q=C44
extensionφ:Q→Out NdρLabelID
Q8.C44 = C11×C8○D4φ: trivial image1762Q8.C44352,166

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