Extensions 1→N→G→Q→1 with N=C4○D4 and Q=C20

Direct product G=N×Q with N=C4○D4 and Q=C20

Semidirect products G=N:Q with N=C4○D4 and Q=C20
extensionφ:Q→Out NdρLabelID
C4○D41C20 = C5×C23.24D4φ: C20/C10C2 ⊆ Out C4○D4160C4oD4:1C20320,917
C4○D42C20 = C5×C23.36D4φ: C20/C10C2 ⊆ Out C4○D4160C4oD4:2C20320,918
C4○D43C20 = C10×C4≀C2φ: C20/C10C2 ⊆ Out C4○D480C4oD4:3C20320,921
C4○D44C20 = C5×C42⋊C22φ: C20/C10C2 ⊆ Out C4○D4804C4oD4:4C20320,922
C4○D45C20 = C5×C23.33C23φ: C20/C10C2 ⊆ Out C4○D4160C4oD4:5C20320,1522

Non-split extensions G=N.Q with N=C4○D4 and Q=C20
extensionφ:Q→Out NdρLabelID
C4○D4.1C20 = C5×D4.C8φ: C20/C10C2 ⊆ Out C4○D41602C4oD4.1C20320,155
C4○D4.2C20 = C5×Q8○M4(2)φ: C20/C10C2 ⊆ Out C4○D4804C4oD4.2C20320,1570
C4○D4.3C20 = C5×D4○C16φ: trivial image1602C4oD4.3C20320,1005
C4○D4.4C20 = C10×C8○D4φ: trivial image160C4oD4.4C20320,1569