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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₃⋊S₃)⋊₁C₃ = C₇×C₃²⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₇×C₃⋊S₃	63	6	(C7xC3:S3):1C3	378,34
(C₇×C₃⋊S₃)⋊₂C₃ = C₇⋊He₃⋊C₂	φ: C₃/C₁ → C₃ ⊆ Out C₇×C₃⋊S₃	63	6	(C7xC3:S3):2C3	378,17
(C₇×C₃⋊S₃)⋊₃C₃ = C₃⋊S₃×C₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₇×C₃⋊S₃	63		(C7xC3:S3):3C3	378,50

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁