Extensions 1→N→G→Q→1 with N=C2x5- 1+2 and Q=C2

Direct product G=NxQ with N=C2x5- 1+2 and Q=C2
dρLabelID
C22x5- 1+2100C2^2xES-(5,1)500,36

Semidirect products G=N:Q with N=C2x5- 1+2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2x5- 1+2):C2 = C2xC25:C10φ: C2/C1C2 ⊆ Out C2x5- 1+25010+(C2xES-(5,1)):C2500,31

Non-split extensions G=N.Q with N=C2x5- 1+2 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2x5- 1+2).C2 = C50.C10φ: C2/C1C2 ⊆ Out C2x5- 1+210010-(C2xES-(5,1)).C2500,9
(C2x5- 1+2).2C2 = C4x5- 1+2φ: trivial image1005(C2xES-(5,1)).2C2500,14

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