Extensions 1→N→G→Q→1 with N=C10 and Q=D11

Direct product G=N×Q with N=C10 and Q=D11
dρLabelID
C10×D111102C10xD11220,12

Semidirect products G=N:Q with N=C10 and Q=D11
extensionφ:Q→Aut NdρLabelID
C10⋊D11 = D110φ: D11/C11C2 ⊆ Aut C101102+C10:D11220,14

Non-split extensions G=N.Q with N=C10 and Q=D11
extensionφ:Q→Aut NdρLabelID
C10.D11 = Dic55φ: D11/C11C2 ⊆ Aut C102202-C10.D11220,5
C10.2D11 = C5×Dic11central extension (φ=1)2202C10.2D11220,4

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