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

Direct product G=N×Q with N=C5×C10 and Q=C5
dρLabelID
C52×C10250C5^2xC10250,15

Semidirect products G=N:Q with N=C5×C10 and Q=C5
extensionφ:Q→Aut NdρLabelID
(C5×C10)⋊C5 = C2×He5φ: C5/C1C5 ⊆ Aut C5×C10505(C5xC10):C5250,10

Non-split extensions G=N.Q with N=C5×C10 and Q=C5
extensionφ:Q→Aut NdρLabelID
(C5×C10).C5 = C2×5- 1+2φ: C5/C1C5 ⊆ Aut C5×C10505(C5xC10).C5250,11

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