Extensions 1→N→G→Q→1 with N=D10 and Q=C6

Direct product G=N×Q with N=D10 and Q=C6
dρLabelID
D5×C2×C660D5xC2xC6120,44

Semidirect products G=N:Q with N=D10 and Q=C6
extensionφ:Q→Out NdρLabelID
D101C6 = C3×D20φ: C6/C3C2 ⊆ Out D10602D10:1C6120,18
D102C6 = C3×C5⋊D4φ: C6/C3C2 ⊆ Out D10602D10:2C6120,20

Non-split extensions G=N.Q with N=D10 and Q=C6
extensionφ:Q→Out NdρLabelID
D10.C6 = C6×F5φ: C6/C3C2 ⊆ Out D10304D10.C6120,40
D10.2C6 = D5×C12φ: trivial image602D10.2C6120,17

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