Extensions 1→N→G→Q→1 with N=C2xC10 and Q=D11

Direct product G=NxQ with N=C2xC10 and Q=D11
dρLabelID
C2xC10xD11220C2xC10xD11440,48

Semidirect products G=N:Q with N=C2xC10 and Q=D11
extensionφ:Q→Aut NdρLabelID
(C2xC10):1D11 = C5xC11:D4φ: D11/C11C2 ⊆ Aut C2xC102202(C2xC10):1D11440,28
(C2xC10):2D11 = C55:7D4φ: D11/C11C2 ⊆ Aut C2xC102202(C2xC10):2D11440,38
(C2xC10):3D11 = C22xD55φ: D11/C11C2 ⊆ Aut C2xC10220(C2xC10):3D11440,50

Non-split extensions G=N.Q with N=C2xC10 and Q=D11
extensionφ:Q→Aut NdρLabelID
(C2xC10).D11 = C2xDic55φ: D11/C11C2 ⊆ Aut C2xC10440(C2xC10).D11440,37
(C2xC10).2D11 = C10xDic11central extension (φ=1)440(C2xC10).2D11440,27

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