Extensions 1→N→G→Q→1 with N=C₃ and Q=C₇×C₃⋊S₃

Direct product G=N×Q with N=C₃ and Q=C₇×C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×C₂₁		126		C3:S3xC21	378,56

Semidirect products G=N:Q with N=C₃ and Q=C₇×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₇×C₃⋊S₃) = C₇×C₃³⋊C₂	φ: C₇×C₃⋊S₃/C₃×C₂₁ → C₂ ⊆ Aut C₃	189		C3:(C7xC3:S3)	378,58

Non-split extensions G=N.Q with N=C₃ and Q=C₇×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₇×C₃⋊S₃) = C₇×C₉⋊S₃	φ: C₇×C₃⋊S₃/C₃×C₂₁ → C₂ ⊆ Aut C₃	189		C3.(C7xC3:S3)	378,40
C₃.₂(C₇×C₃⋊S₃) = C₇×He₃⋊C₂	central stem extension (φ=1)	63	3	C3.2(C7xC3:S3)	378,41

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Extensions 1→N→G→Q→1 with N=C3 and Q=C7×C3⋊S3