Extensions 1→N→G→Q→1 with N=C₇² and Q=S₃

Direct product G=N×Q with N=C₇² and Q=S₃

		d	ρ	Label	ID
S₃×C₇²		147		S3xC7^2	294,20

Semidirect products G=N:Q with N=C₇² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇²⋊S₃ = C₇²⋊S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₇²	14	3	C7^2:S3	294,7
C₇²⋊₂S₃ = C₇×D₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₇²	42	2	C7^2:2S3	294,21
C₇²⋊₃S₃ = C₇⋊D₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₇²	147		C7^2:3S3	294,22

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁