Extensions 1→N→G→Q→1 with N=Dic5 and Q=D5

Direct product G=N×Q with N=Dic5 and Q=D5
dρLabelID
D5×Dic5404-D5xDic5200,22

Semidirect products G=N:Q with N=Dic5 and Q=D5
extensionφ:Q→Out NdρLabelID
Dic5⋊D5 = C5⋊D20φ: D5/C5C2 ⊆ Out Dic5204+Dic5:D5200,25
Dic52D5 = Dic52D5φ: trivial image204+Dic5:2D5200,23

Non-split extensions G=N.Q with N=Dic5 and Q=D5
extensionφ:Q→Out NdρLabelID
Dic5.1D5 = C522Q8φ: D5/C5C2 ⊆ Out Dic5404-Dic5.1D5200,26
Dic5.2D5 = C523C8φ: D5/C5C2 ⊆ Out Dic5404Dic5.2D5200,19

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