Extensions 1→N→G→Q→1 with N=C2xC10 and Q=C22

Direct product G=NxQ with N=C2xC10 and Q=C22
dρLabelID
C22xC110440C2^2xC110440,51

Semidirect products G=N:Q with N=C2xC10 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2xC10):1C22 = D4xC55φ: C22/C11C2 ⊆ Aut C2xC102202(C2xC10):1C22440,40
(C2xC10):2C22 = C11xC5:D4φ: C22/C11C2 ⊆ Aut C2xC102202(C2xC10):2C22440,33
(C2xC10):3C22 = D5xC2xC22φ: C22/C11C2 ⊆ Aut C2xC10220(C2xC10):3C22440,49

Non-split extensions G=N.Q with N=C2xC10 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2xC10).C22 = Dic5xC22φ: C22/C11C2 ⊆ Aut C2xC10440(C2xC10).C22440,32

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