Extensions 1→N→G→Q→1 with N=C4○D4 and Q=D5

Direct product G=N×Q with N=C4○D4 and Q=D5
dρLabelID
D5×C4○D4404D5xC4oD4160,223

Semidirect products G=N:Q with N=C4○D4 and Q=D5
extensionφ:Q→Out NdρLabelID
C4○D41D5 = D4⋊D10φ: D5/C5C2 ⊆ Out C4○D4404+C4oD4:1D5160,170
C4○D42D5 = D4.8D10φ: D5/C5C2 ⊆ Out C4○D4804C4oD4:2D5160,171
C4○D43D5 = D48D10φ: D5/C5C2 ⊆ Out C4○D4404+C4oD4:3D5160,224
C4○D44D5 = D4.10D10φ: D5/C5C2 ⊆ Out C4○D4804-C4oD4:4D5160,225

Non-split extensions G=N.Q with N=C4○D4 and Q=D5
extensionφ:Q→Out NdρLabelID
C4○D4.1D5 = D42Dic5φ: D5/C5C2 ⊆ Out C4○D4404C4oD4.1D5160,44
C4○D4.2D5 = D4.9D10φ: D5/C5C2 ⊆ Out C4○D4804-C4oD4.2D5160,172
C4○D4.3D5 = D4.Dic5φ: trivial image804C4oD4.3D5160,169

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