Extensions 1→N→G→Q→1 with N=C4oD4 and Q=C10

Direct product G=NxQ with N=C4oD4 and Q=C10
dρLabelID
C10xC4oD480C10xC4oD4160,231

Semidirect products G=N:Q with N=C4oD4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4oD4:1C10 = C5xC4oD8φ: C10/C5C2 ⊆ Out C4oD4802C4oD4:1C10160,196
C4oD4:2C10 = C5xC8:C22φ: C10/C5C2 ⊆ Out C4oD4404C4oD4:2C10160,197
C4oD4:3C10 = C5x2+ 1+4φ: C10/C5C2 ⊆ Out C4oD4404C4oD4:3C10160,232
C4oD4:4C10 = C5x2- 1+4φ: C10/C5C2 ⊆ Out C4oD4804C4oD4:4C10160,233

Non-split extensions G=N.Q with N=C4oD4 and Q=C10
extensionφ:Q→Out NdρLabelID
C4oD4.1C10 = C5xC4wrC2φ: C10/C5C2 ⊆ Out C4oD4402C4oD4.1C10160,54
C4oD4.2C10 = C5xC8.C22φ: C10/C5C2 ⊆ Out C4oD4804C4oD4.2C10160,198
C4oD4.3C10 = C5xC8oD4φ: trivial image802C4oD4.3C10160,192

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