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

Direct product G=NxQ with N=C12 and Q=C4
dρLabelID
C4xC1248C4xC1248,20

Semidirect products G=N:Q with N=C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
C12:1C4 = C4:Dic3φ: C4/C2C2 ⊆ Aut C1248C12:1C448,13
C12:2C4 = C4xDic3φ: C4/C2C2 ⊆ Aut C1248C12:2C448,11
C12:3C4 = C3xC4:C4φ: C4/C2C2 ⊆ Aut C1248C12:3C448,22

Non-split extensions G=N.Q with N=C12 and Q=C4
extensionφ:Q→Aut NdρLabelID
C12.1C4 = C4.Dic3φ: C4/C2C2 ⊆ Aut C12242C12.1C448,10
C12.2C4 = C3:C16φ: C4/C2C2 ⊆ Aut C12482C12.2C448,1
C12.3C4 = C2xC3:C8φ: C4/C2C2 ⊆ Aut C1248C12.3C448,9
C12.4C4 = C3xM4(2)φ: C4/C2C2 ⊆ Aut C12242C12.4C448,24

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