Extensions 1→N→G→Q→1 with N=C3xC21 and Q=S3

Direct product G=NxQ with N=C3xC21 and Q=S3
dρLabelID
S3xC3xC21126S3xC3xC21378,54

Semidirect products G=N:Q with N=C3xC21 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C3xC21):1S3 = He3:D7φ: S3/C1S3 ⊆ Aut C3xC21636+(C3xC21):1S3378,38
(C3xC21):2S3 = C32:D21φ: S3/C1S3 ⊆ Aut C3xC21636(C3xC21):2S3378,43
(C3xC21):3S3 = C7xC32:C6φ: S3/C1S3 ⊆ Aut C3xC21636(C3xC21):3S3378,34
(C3xC21):4S3 = C7xHe3:C2φ: S3/C1S3 ⊆ Aut C3xC21633(C3xC21):4S3378,41
(C3xC21):5S3 = C33:D7φ: S3/C3C2 ⊆ Aut C3xC21189(C3xC21):5S3378,59
(C3xC21):6S3 = C3xC3:D21φ: S3/C3C2 ⊆ Aut C3xC21126(C3xC21):6S3378,57
(C3xC21):7S3 = C32xD21φ: S3/C3C2 ⊆ Aut C3xC21126(C3xC21):7S3378,55
(C3xC21):8S3 = C3:S3xC21φ: S3/C3C2 ⊆ Aut C3xC21126(C3xC21):8S3378,56
(C3xC21):9S3 = C7xC33:C2φ: S3/C3C2 ⊆ Aut C3xC21189(C3xC21):9S3378,58

Non-split extensions G=N.Q with N=C3xC21 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C3xC21).1S3 = D63:C3φ: S3/C1S3 ⊆ Aut C3xC21636+(C3xC21).1S3378,39
(C3xC21).2S3 = C7xC9:C6φ: S3/C1S3 ⊆ Aut C3xC21636(C3xC21).2S3378,35
(C3xC21).3S3 = C3:D63φ: S3/C3C2 ⊆ Aut C3xC21189(C3xC21).3S3378,42
(C3xC21).4S3 = C3xD63φ: S3/C3C2 ⊆ Aut C3xC211262(C3xC21).4S3378,36
(C3xC21).5S3 = D9xC21φ: S3/C3C2 ⊆ Aut C3xC211262(C3xC21).5S3378,32
(C3xC21).6S3 = C7xC9:S3φ: S3/C3C2 ⊆ Aut C3xC21189(C3xC21).6S3378,40

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