Extensions 1→N→G→Q→1 with N=C5 and Q=C6×C12

Direct product G=N×Q with N=C5 and Q=C6×C12
dρLabelID
C6×C60360C6xC60360,115

Semidirect products G=N:Q with N=C5 and Q=C6×C12
extensionφ:Q→Aut NdρLabelID
C5⋊(C6×C12) = C3×C6×F5φ: C6×C12/C3×C6 → C4 ⊆ Aut C590C5:(C6xC12)360,145
C5⋊2(C6×C12) = D5×C3×C12φ: C6×C12/C3×C12 → C2 ⊆ Aut C5180C5:2(C6xC12)360,91
C5⋊3(C6×C12) = C3×C6×Dic5φ: C6×C12/C62 → C2 ⊆ Aut C5360C5:3(C6xC12)360,93


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