Extensions 1→N→G→Q→1 with N=C4 and Q=C12

Direct product G=N×Q with N=C4 and Q=C12
dρLabelID
C4×C1248C4xC1248,20

Semidirect products G=N:Q with N=C4 and Q=C12
extensionφ:Q→Aut NdρLabelID
C4⋊C12 = C3×C4⋊C4φ: C12/C6C2 ⊆ Aut C448C4:C1248,22

Non-split extensions G=N.Q with N=C4 and Q=C12
extensionφ:Q→Aut NdρLabelID
C4.C12 = C3×M4(2)φ: C12/C6C2 ⊆ Aut C4242C4.C1248,24

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