Extensions 1→N→G→Q→1 with N=C₇⋊C₃ and Q=SD₁₆

Direct product G=N×Q with N=C₇⋊C₃ and Q=SD₁₆

		d	ρ	Label	ID
SD₁₆×C₇⋊C₃		56	6	SD16xC7:C3	336,54

Semidirect products G=N:Q with N=C₇⋊C₃ and Q=SD₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₃⋊₁SD₁₆ = C₅₆⋊C₆	φ: SD₁₆/C₈ → C₂ ⊆ Out C₇⋊C₃	56	6	C7:C3:1SD16	336,9
C₇⋊C₃⋊₂SD₁₆ = D₄.F₇	φ: SD₁₆/D₄ → C₂ ⊆ Out C₇⋊C₃	56	12-	C7:C3:2SD16	336,19
C₇⋊C₃⋊₃SD₁₆ = Q₈⋊₂F₇	φ: SD₁₆/Q₈ → C₂ ⊆ Out C₇⋊C₃	56	12+	C7:C3:3SD16	336,20

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁