Extensions 1→N→G→Q→1 with N=Q8 and Q=C5⋊D5

Direct product G=N×Q with N=Q8 and Q=C5⋊D5
dρLabelID
Q8×C5⋊D5200Q8xC5:D5400,197

Semidirect products G=N:Q with N=Q8 and Q=C5⋊D5
extensionφ:Q→Out NdρLabelID
Q8⋊(C5⋊D5) = C5210SD16φ: C5⋊D5/C52C2 ⊆ Out Q8200Q8:(C5:D5)400,105
Q82(C5⋊D5) = C20.26D10φ: trivial image200Q8:2(C5:D5)400,198

Non-split extensions G=N.Q with N=Q8 and Q=C5⋊D5
extensionφ:Q→Out NdρLabelID
Q8.(C5⋊D5) = C527Q16φ: C5⋊D5/C52C2 ⊆ Out Q8400Q8.(C5:D5)400,106

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