Extensions 1→N→G→Q→1 with N=C22xD17 and Q=C2

Direct product G=NxQ with N=C22xD17 and Q=C2
dρLabelID
C23xD17136C2^3xD17272,53

Semidirect products G=N:Q with N=C22xD17 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xD17):1C2 = C2xD68φ: C2/C1C2 ⊆ Out C22xD17136(C2^2xD17):1C2272,38
(C22xD17):2C2 = D4xD17φ: C2/C1C2 ⊆ Out C22xD17684+(C2^2xD17):2C2272,40
(C22xD17):3C2 = C2xC17:D4φ: C2/C1C2 ⊆ Out C22xD17136(C2^2xD17):3C2272,45

Non-split extensions G=N.Q with N=C22xD17 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xD17).1C2 = D34:C4φ: C2/C1C2 ⊆ Out C22xD17136(C2^2xD17).1C2272,14
(C22xD17).2C2 = D17.D4φ: C2/C1C2 ⊆ Out C22xD17684+(C2^2xD17).2C2272,35
(C22xD17).3C2 = C22xC17:C4φ: C2/C1C2 ⊆ Out C22xD1768(C2^2xD17).3C2272,52
(C22xD17).4C2 = C2xC4xD17φ: trivial image136(C2^2xD17).4C2272,37

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