Extensions 1→N→G→Q→1 with N=C2xHe3:C3 and Q=C2

Direct product G=NxQ with N=C2xHe3:C3 and Q=C2
dρLabelID
C22xHe3:C3108C2^2xHe3:C3324,88

Semidirect products G=N:Q with N=C2xHe3:C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xHe3:C3):1C2 = C2xHe3.2C6φ: C2/C1C2 ⊆ Out C2xHe3:C3543(C2xHe3:C3):1C2324,72
(C2xHe3:C3):2C2 = C2xHe3.2S3φ: C2/C1C2 ⊆ Out C2xHe3:C3546+(C2xHe3:C3):2C2324,73
(C2xHe3:C3):3C2 = C2xHe3:S3φ: C2/C1C2 ⊆ Out C2xHe3:C3546+(C2xHe3:C3):3C2324,79

Non-split extensions G=N.Q with N=C2xHe3:C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xHe3:C3).1C2 = He3.2C12φ: C2/C1C2 ⊆ Out C2xHe3:C31083(C2xHe3:C3).1C2324,17
(C2xHe3:C3).2C2 = He3.2Dic3φ: C2/C1C2 ⊆ Out C2xHe3:C31086-(C2xHe3:C3).2C2324,18
(C2xHe3:C3).3C2 = He3:Dic3φ: C2/C1C2 ⊆ Out C2xHe3:C31086-(C2xHe3:C3).3C2324,24
(C2xHe3:C3).4C2 = C4xHe3:C3φ: trivial image1083(C2xHe3:C3).4C2324,33

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