Extensions 1→N→G→Q→1 with N=C5 and Q=C5×Dic3

Direct product G=N×Q with N=C5 and Q=C5×Dic3
dρLabelID
Dic3×C52300Dic3xC5^2300,18

Semidirect products G=N:Q with N=C5 and Q=C5×Dic3
extensionφ:Q→Aut NdρLabelID
C5⋊(C5×Dic3) = C5×C3⋊F5φ: C5×Dic3/C15C4 ⊆ Aut C5604C5:(C5xDic3)300,32
C52(C5×Dic3) = C5×Dic15φ: C5×Dic3/C30C2 ⊆ Aut C5602C5:2(C5xDic3)300,19

Non-split extensions G=N.Q with N=C5 and Q=C5×Dic3
extensionφ:Q→Aut NdρLabelID
C5.(C5×Dic3) = Dic3×C25central extension (φ=1)3002C5.(C5xDic3)300,1

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