Extensions 1→N→G→Q→1 with N=C5 and Q=C2×C12

Direct product G=N×Q with N=C5 and Q=C2×C12
dρLabelID
C2×C60120C2xC60120,31

Semidirect products G=N:Q with N=C5 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C5⋊(C2×C12) = C6×F5φ: C2×C12/C6 → C4 ⊆ Aut C5304C5:(C2xC12)120,40
C5⋊2(C2×C12) = D5×C12φ: C2×C12/C12 → C2 ⊆ Aut C5602C5:2(C2xC12)120,17
C5⋊3(C2×C12) = C6×Dic5φ: C2×C12/C2×C6 → C2 ⊆ Aut C5120C5:3(C2xC12)120,19


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