Extensions 1→N→G→Q→1 with N=C4 and Q=C5×C10

Direct product G=N×Q with N=C4 and Q=C5×C10
dρLabelID
C10×C20200C10xC20200,37

Semidirect products G=N:Q with N=C4 and Q=C5×C10
extensionφ:Q→Aut NdρLabelID
C4⋊(C5×C10) = D4×C52φ: C5×C10/C52C2 ⊆ Aut C4100C4:(C5xC10)200,38

Non-split extensions G=N.Q with N=C4 and Q=C5×C10
extensionφ:Q→Aut NdρLabelID
C4.(C5×C10) = Q8×C52φ: C5×C10/C52C2 ⊆ Aut C4200C4.(C5xC10)200,39

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