Extensions 1→N→G→Q→1 with N=C22:C4 and Q=C12

Direct product G=NxQ with N=C22:C4 and Q=C12
dρLabelID
C12xC22:C496C12xC2^2:C4192,810

Semidirect products G=N:Q with N=C22:C4 and Q=C12
extensionφ:Q→Out NdρLabelID
C22:C4:1C12 = C3xC2wrC4φ: C12/C3C4 ⊆ Out C22:C4244C2^2:C4:1C12192,157
C22:C4:2C12 = C3xC23.D4φ: C12/C3C4 ⊆ Out C22:C4484C2^2:C4:2C12192,158
C22:C4:3C12 = C3xC23.9D4φ: C12/C6C2 ⊆ Out C22:C448C2^2:C4:3C12192,148
C22:C4:4C12 = C3xC23.8Q8φ: C12/C6C2 ⊆ Out C22:C496C2^2:C4:4C12192,818
C22:C4:5C12 = C3xC24.C22φ: C12/C6C2 ⊆ Out C22:C496C2^2:C4:5C12192,821

Non-split extensions G=N.Q with N=C22:C4 and Q=C12
extensionφ:Q→Out NdρLabelID
C22:C4.1C12 = C3xM4(2):4C4φ: C12/C6C2 ⊆ Out C22:C4484C2^2:C4.1C12192,150
C22:C4.2C12 = C3xC42.6C22φ: C12/C6C2 ⊆ Out C22:C496C2^2:C4.2C12192,857
C22:C4.3C12 = C3xC42.7C22φ: C12/C6C2 ⊆ Out C22:C496C2^2:C4.3C12192,866
C22:C4.4C12 = C3xC8:9D4φ: C12/C6C2 ⊆ Out C22:C496C2^2:C4.4C12192,868
C22:C4.5C12 = C3xC8:6D4φ: C12/C6C2 ⊆ Out C22:C496C2^2:C4.5C12192,869
C22:C4.6C12 = C3xC8o2M4(2)φ: trivial image96C2^2:C4.6C12192,838
C22:C4.7C12 = D4xC24φ: trivial image96C2^2:C4.7C12192,867

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