Extensions 1→N→G→Q→1 with N=C₃ and Q=C₇⋊Q₁₆

Direct product G=N×Q with N=C₃ and Q=C₇⋊Q₁₆

		d	ρ	Label	ID
C₃×C₇⋊Q₁₆		336	4	C3xC7:Q16	336,72

Semidirect products G=N:Q with N=C₃ and Q=C₇⋊Q₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₇⋊Q₁₆) = C₇⋊Dic₁₂	φ: C₇⋊Q₁₆/C₇⋊C₈ → C₂ ⊆ Aut C₃	336	4-	C3:1(C7:Q16)	336,40
C₃⋊₂(C₇⋊Q₁₆) = C₂₁⋊Q₁₆	φ: C₇⋊Q₁₆/Dic₁₄ → C₂ ⊆ Aut C₃	336	4	C3:2(C7:Q16)	336,38
C₃⋊₃(C₇⋊Q₁₆) = C₂₁⋊₇Q₁₆	φ: C₇⋊Q₁₆/C₇×Q₈ → C₂ ⊆ Aut C₃	336	4-	C3:3(C7:Q16)	336,104

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁