Extensions 1→N→G→Q→1 with N=C4○D4 and Q=C12

Direct product G=N×Q with N=C4○D4 and Q=C12
dρLabelID
C12×C4○D496C12xC4oD4192,1406

Semidirect products G=N:Q with N=C4○D4 and Q=C12
extensionφ:Q→Out NdρLabelID
C4○D4⋊C12 = C4○D4⋊C12φ: C12/C2C6 ⊆ Out C4○D464C4oD4:C12192,999
C4○D42C12 = C4×C4.A4φ: C12/C4C3 ⊆ Out C4○D464C4oD4:2C12192,997
C4○D43C12 = C3×C23.24D4φ: C12/C6C2 ⊆ Out C4○D496C4oD4:3C12192,849
C4○D44C12 = C3×C23.36D4φ: C12/C6C2 ⊆ Out C4○D496C4oD4:4C12192,850
C4○D45C12 = C6×C4≀C2φ: C12/C6C2 ⊆ Out C4○D448C4oD4:5C12192,853
C4○D46C12 = C3×C42⋊C22φ: C12/C6C2 ⊆ Out C4○D4484C4oD4:6C12192,854
C4○D47C12 = C3×C23.33C23φ: C12/C6C2 ⊆ Out C4○D496C4oD4:7C12192,1409

Non-split extensions G=N.Q with N=C4○D4 and Q=C12
extensionφ:Q→Out NdρLabelID
C4○D4.C12 = M4(2).A4φ: C12/C2C6 ⊆ Out C4○D4324C4oD4.C12192,1013
C4○D4.2C12 = C16.A4φ: C12/C4C3 ⊆ Out C4○D4642C4oD4.2C12192,204
C4○D4.3C12 = C2×C8.A4φ: C12/C4C3 ⊆ Out C4○D464C4oD4.3C12192,1012
C4○D4.4C12 = C3×D4.C8φ: C12/C6C2 ⊆ Out C4○D4962C4oD4.4C12192,156
C4○D4.5C12 = C3×Q8○M4(2)φ: C12/C6C2 ⊆ Out C4○D4484C4oD4.5C12192,1457
C4○D4.6C12 = C3×D4○C16φ: trivial image962C4oD4.6C12192,937
C4○D4.7C12 = C6×C8○D4φ: trivial image96C4oD4.7C12192,1456

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