Extensions 1→N→G→Q→1 with N=C3×S3 and Q=C3×C6

Direct product G=N×Q with N=C3×S3 and Q=C3×C6
dρLabelID
S3×C32×C6108S3xC3^2xC6324,172

Semidirect products G=N:Q with N=C3×S3 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
(C3×S3)⋊(C3×C6) = S32×C32φ: C3×C6/C32C2 ⊆ Out C3×S336(C3xS3):(C3xC6)324,165

Non-split extensions G=N.Q with N=C3×S3 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
(C3×S3).1(C3×C6) = S3×C3×C18φ: trivial image108(C3xS3).1(C3xC6)324,137
(C3×S3).2(C3×C6) = C2×S3×He3φ: trivial image366(C3xS3).2(C3xC6)324,139
(C3×S3).3(C3×C6) = C2×S3×3- 1+2φ: trivial image366(C3xS3).3(C3xC6)324,141

׿
×
𝔽