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

Direct product G=N×Q with N=C3×C3⋊S3 and Q=C3
dρLabelID
C32×C3⋊S318C3^2xC3:S3162,52

Semidirect products G=N:Q with N=C3×C3⋊S3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×C3⋊S3)⋊C3 = C3×C32⋊C6φ: C3/C1C3 ⊆ Out C3×C3⋊S3186(C3xC3:S3):C3162,34

Non-split extensions G=N.Q with N=C3×C3⋊S3 and Q=C3
extensionφ:Q→Out NdρLabelID
(C3×C3⋊S3).C3 = C32⋊C18φ: C3/C1C3 ⊆ Out C3×C3⋊S3186(C3xC3:S3).C3162,4
(C3×C3⋊S3).2C3 = C9×C3⋊S3φ: trivial image54(C3xC3:S3).2C3162,39

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