Extensions 1→N→G→Q→1 with N=C12 and Q=C40

Direct product G=N×Q with N=C12 and Q=C40
dρLabelID
C4×C120480C4xC120480,199

Semidirect products G=N:Q with N=C12 and Q=C40
extensionφ:Q→Aut NdρLabelID
C121C40 = C5×C12⋊C8φ: C40/C20C2 ⊆ Aut C12480C12:1C40480,123
C122C40 = C20×C3⋊C8φ: C40/C20C2 ⊆ Aut C12480C12:2C40480,121
C123C40 = C15×C4⋊C8φ: C40/C20C2 ⊆ Aut C12480C12:3C40480,208

Non-split extensions G=N.Q with N=C12 and Q=C40
extensionφ:Q→Aut NdρLabelID
C12.1C40 = C5×C12.C8φ: C40/C20C2 ⊆ Aut C122402C12.1C40480,131
C12.2C40 = C5×C3⋊C32φ: C40/C20C2 ⊆ Aut C124802C12.2C40480,1
C12.3C40 = C10×C3⋊C16φ: C40/C20C2 ⊆ Aut C12480C12.3C40480,130
C12.4C40 = C15×M5(2)φ: C40/C20C2 ⊆ Aut C122402C12.4C40480,213

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