Extensions 1→N→G→Q→1 with N=C10 and Q=C3×C12

Direct product G=N×Q with N=C10 and Q=C3×C12
dρLabelID
C6×C60360C6xC60360,115

Semidirect products G=N:Q with N=C10 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
C10⋊(C3×C12) = C3×C6×F5φ: C3×C12/C32C4 ⊆ Aut C1090C10:(C3xC12)360,145
C102(C3×C12) = C3×C6×Dic5φ: C3×C12/C3×C6C2 ⊆ Aut C10360C10:2(C3xC12)360,93

Non-split extensions G=N.Q with N=C10 and Q=C3×C12
extensionφ:Q→Aut NdρLabelID
C10.(C3×C12) = C32×C5⋊C8φ: C3×C12/C32C4 ⊆ Aut C10360C10.(C3xC12)360,52
C10.2(C3×C12) = C32×C52C8φ: C3×C12/C3×C6C2 ⊆ Aut C10360C10.2(C3xC12)360,33

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