Extensions 1→N→G→Q→1 with N=D10 and Q=C20

Direct product G=N×Q with N=D10 and Q=C20
dρLabelID
D5×C2×C2080D5xC2xC20400,182

Semidirect products G=N:Q with N=D10 and Q=C20
extensionφ:Q→Out NdρLabelID
D101C20 = C5×D10⋊C4φ: C20/C10C2 ⊆ Out D1080D10:1C20400,86
D102C20 = C5×C22⋊F5φ: C20/C10C2 ⊆ Out D10404D10:2C20400,141
D103C20 = F5×C2×C10φ: C20/C10C2 ⊆ Out D1080D10:3C20400,214

Non-split extensions G=N.Q with N=D10 and Q=C20
extensionφ:Q→Out NdρLabelID
D10.1C20 = C5×C8⋊D5φ: C20/C10C2 ⊆ Out D10802D10.1C20400,77
D10.2C20 = C5×D5⋊C8φ: C20/C10C2 ⊆ Out D10804D10.2C20400,135
D10.3C20 = C5×C4.F5φ: C20/C10C2 ⊆ Out D10804D10.3C20400,136
D10.4C20 = D5×C40φ: trivial image802D10.4C20400,76

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