Extensions 1→N→G→Q→1 with N=C5 and Q=C2×Dic5

Direct product G=N×Q with N=C5 and Q=C2×Dic5
dρLabelID
C10×Dic540C10xDic5200,30

Semidirect products G=N:Q with N=C5 and Q=C2×Dic5
extensionφ:Q→Aut NdρLabelID
C5⋊(C2×Dic5) = C2×D5.D5φ: C2×Dic5/C10C4 ⊆ Aut C5404C5:(C2xDic5)200,46
C52(C2×Dic5) = D5×Dic5φ: C2×Dic5/Dic5C2 ⊆ Aut C5404-C5:2(C2xDic5)200,22
C53(C2×Dic5) = C2×C526C4φ: C2×Dic5/C2×C10C2 ⊆ Aut C5200C5:3(C2xDic5)200,35

Non-split extensions G=N.Q with N=C5 and Q=C2×Dic5
extensionφ:Q→Aut NdρLabelID
C5.(C2×Dic5) = C2×Dic25φ: C2×Dic5/C2×C10C2 ⊆ Aut C5200C5.(C2xDic5)200,7

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