Extensions 1→N→G→Q→1 with N=D20 and Q=C10

Direct product G=NxQ with N=D20 and Q=C10
dρLabelID
C10xD2080C10xD20400,183

Semidirect products G=N:Q with N=D20 and Q=C10
extensionφ:Q→Out NdρLabelID
D20:1C10 = C5xD40φ: C10/C5C2 ⊆ Out D20802D20:1C10400,79
D20:2C10 = C5xD4:D5φ: C10/C5C2 ⊆ Out D20404D20:2C10400,87
D20:3C10 = C5xD4xD5φ: C10/C5C2 ⊆ Out D20404D20:3C10400,185
D20:4C10 = C5xQ8:2D5φ: C10/C5C2 ⊆ Out D20804D20:4C10400,188
D20:5C10 = C5xC4oD20φ: trivial image402D20:5C10400,184

Non-split extensions G=N.Q with N=D20 and Q=C10
extensionφ:Q→Out NdρLabelID
D20.1C10 = C5xC40:C2φ: C10/C5C2 ⊆ Out D20802D20.1C10400,78
D20.2C10 = C5xQ8:D5φ: C10/C5C2 ⊆ Out D20804D20.2C10400,89

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