Extensions 1→N→G→Q→1 with N=Q8 and Q=C5×C10

Direct product G=N×Q with N=Q8 and Q=C5×C10
dρLabelID
Q8×C5×C10400Q8xC5xC10400,203

Semidirect products G=N:Q with N=Q8 and Q=C5×C10
extensionφ:Q→Out NdρLabelID
Q8⋊(C5×C10) = SD16×C52φ: C5×C10/C52C2 ⊆ Out Q8200Q8:(C5xC10)400,114
Q82(C5×C10) = C4○D4×C52φ: trivial image200Q8:2(C5xC10)400,204

Non-split extensions G=N.Q with N=Q8 and Q=C5×C10
extensionφ:Q→Out NdρLabelID
Q8.(C5×C10) = Q16×C52φ: C5×C10/C52C2 ⊆ Out Q8400Q8.(C5xC10)400,115

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