Extensions 1→N→G→Q→1 with N=C4oD4 and Q=C4

Direct product G=NxQ with N=C4oD4 and Q=C4
dρLabelID
C4xC4oD432C4xC4oD464,198

Semidirect products G=N:Q with N=C4oD4 and Q=C4
extensionφ:Q→Out NdρLabelID
C4oD4:1C4 = C23.24D4φ: C4/C2C2 ⊆ Out C4oD432C4oD4:1C464,97
C4oD4:2C4 = C23.36D4φ: C4/C2C2 ⊆ Out C4oD432C4oD4:2C464,98
C4oD4:3C4 = C2xC4wrC2φ: C4/C2C2 ⊆ Out C4oD416C4oD4:3C464,101
C4oD4:4C4 = C42:C22φ: C4/C2C2 ⊆ Out C4oD4164C4oD4:4C464,102
C4oD4:5C4 = C23.33C23φ: C4/C2C2 ⊆ Out C4oD432C4oD4:5C464,201

Non-split extensions G=N.Q with N=C4oD4 and Q=C4
extensionφ:Q→Out NdρLabelID
C4oD4.1C4 = D4.C8φ: C4/C2C2 ⊆ Out C4oD4322C4oD4.1C464,31
C4oD4.2C4 = Q8oM4(2)φ: C4/C2C2 ⊆ Out C4oD4164C4oD4.2C464,249
C4oD4.3C4 = D4oC16φ: trivial image322C4oD4.3C464,185
C4oD4.4C4 = C2xC8oD4φ: trivial image32C4oD4.4C464,248

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