Extensions 1→N→G→Q→1 with N=C12 and Q=C36

Direct product G=N×Q with N=C12 and Q=C36
dρLabelID
C12×C36432C12xC36432,200

Semidirect products G=N:Q with N=C12 and Q=C36
extensionφ:Q→Aut NdρLabelID
C121C36 = C9×C4⋊Dic3φ: C36/C18C2 ⊆ Aut C12144C12:1C36432,133
C122C36 = Dic3×C36φ: C36/C18C2 ⊆ Aut C12144C12:2C36432,131
C123C36 = C4⋊C4×C3×C9φ: C36/C18C2 ⊆ Aut C12432C12:3C36432,206

Non-split extensions G=N.Q with N=C12 and Q=C36
extensionφ:Q→Aut NdρLabelID
C12.1C36 = C9×C4.Dic3φ: C36/C18C2 ⊆ Aut C12722C12.1C36432,127
C12.2C36 = C9×C3⋊C16φ: C36/C18C2 ⊆ Aut C121442C12.2C36432,29
C12.3C36 = C18×C3⋊C8φ: C36/C18C2 ⊆ Aut C12144C12.3C36432,126
C12.4C36 = C4⋊C4×C27φ: C36/C18C2 ⊆ Aut C12432C12.4C36432,22
C12.5C36 = M4(2)×C27φ: C36/C18C2 ⊆ Aut C122162C12.5C36432,24
C12.6C36 = M4(2)×C3×C9φ: C36/C18C2 ⊆ Aut C12216C12.6C36432,212

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