Extensions 1→N→G→Q→1 with N=Q8 and Q=C20

Direct product G=N×Q with N=Q8 and Q=C20
dρLabelID
Q8×C20160Q8xC20160,180

Semidirect products G=N:Q with N=Q8 and Q=C20
extensionφ:Q→Out NdρLabelID
Q81C20 = C5×Q8⋊C4φ: C20/C10C2 ⊆ Out Q8160Q8:1C20160,53
Q82C20 = C5×C4≀C2φ: C20/C10C2 ⊆ Out Q8402Q8:2C20160,54

Non-split extensions G=N.Q with N=Q8 and Q=C20
extensionφ:Q→Out NdρLabelID
Q8.C20 = C5×C8○D4φ: trivial image802Q8.C20160,192

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