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

Direct product G=N×Q with N=C5 and Q=C5×Q8
dρLabelID
Q8×C52200Q8xC5^2200,39

Semidirect products G=N:Q with N=C5 and Q=C5×Q8
extensionφ:Q→Aut NdρLabelID
C5⋊(C5×Q8) = C5×Dic10φ: C5×Q8/C20C2 ⊆ Aut C5402C5:(C5xQ8)200,27

Non-split extensions G=N.Q with N=C5 and Q=C5×Q8
extensionφ:Q→Aut NdρLabelID
C5.(C5×Q8) = Q8×C25central extension (φ=1)2002C5.(C5xQ8)200,11

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