Extensions 1→N→G→Q→1 with N=Q8 and Q=C52

Direct product G=N×Q with N=Q8 and Q=C52
dρLabelID
Q8×C52416Q8xC52416,180

Semidirect products G=N:Q with N=Q8 and Q=C52
extensionφ:Q→Out NdρLabelID
Q81C52 = C13×Q8⋊C4φ: C52/C26C2 ⊆ Out Q8416Q8:1C52416,53
Q82C52 = C13×C4≀C2φ: C52/C26C2 ⊆ Out Q81042Q8:2C52416,54

Non-split extensions G=N.Q with N=Q8 and Q=C52
extensionφ:Q→Out NdρLabelID
Q8.C52 = C13×C8○D4φ: trivial image2082Q8.C52416,192

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