Extensions 1→N→G→Q→1 with N=C2xC26 and Q=S3

Direct product G=NxQ with N=C2xC26 and Q=S3
dρLabelID
S3xC2xC26156S3xC2xC26312,59

Semidirect products G=N:Q with N=C2xC26 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C2xC26):1S3 = C13xS4φ: S3/C1S3 ⊆ Aut C2xC26523(C2xC26):1S3312,47
(C2xC26):2S3 = C13:S4φ: S3/C1S3 ⊆ Aut C2xC26526+(C2xC26):2S3312,48
(C2xC26):3S3 = C13xC3:D4φ: S3/C3C2 ⊆ Aut C2xC261562(C2xC26):3S3312,36
(C2xC26):4S3 = C39:7D4φ: S3/C3C2 ⊆ Aut C2xC261562(C2xC26):4S3312,41
(C2xC26):5S3 = C22xD39φ: S3/C3C2 ⊆ Aut C2xC26156(C2xC26):5S3312,60

Non-split extensions G=N.Q with N=C2xC26 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C2xC26).S3 = C2xDic39φ: S3/C3C2 ⊆ Aut C2xC26312(C2xC26).S3312,40
(C2xC26).2S3 = Dic3xC26central extension (φ=1)312(C2xC26).2S3312,35

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