Extensions 1→N→G→Q→1 with N=D10 and Q=C22

Direct product G=N×Q with N=D10 and Q=C22
dρLabelID
D5×C2×C22220D5xC2xC22440,49

Semidirect products G=N:Q with N=D10 and Q=C22
extensionφ:Q→Out NdρLabelID
D101C22 = C11×D20φ: C22/C11C2 ⊆ Out D102202D10:1C22440,31
D102C22 = C11×C5⋊D4φ: C22/C11C2 ⊆ Out D102202D10:2C22440,33

Non-split extensions G=N.Q with N=D10 and Q=C22
extensionφ:Q→Out NdρLabelID
D10.C22 = F5×C22φ: C22/C11C2 ⊆ Out D101104D10.C22440,45
D10.2C22 = D5×C44φ: trivial image2202D10.2C22440,30

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