Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×D₁₇

Direct product G=N×Q with N=C₃ and Q=C₄×D₁₇

		d	ρ	Label	ID
C₁₂×D₁₇		204	2	C12xD17	408,16

Semidirect products G=N:Q with N=C₃ and Q=C₄×D₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄×D₁₇) = D₅₁⋊₂C₄	φ: C₄×D₁₇/Dic₁₇ → C₂ ⊆ Aut C₃	204	4+	C3:1(C4xD17)	408,9
C₃⋊₂(C₄×D₁₇) = C₄×D₅₁	φ: C₄×D₁₇/C₆₈ → C₂ ⊆ Aut C₃	204	2	C3:2(C4xD17)	408,26
C₃⋊₃(C₄×D₁₇) = Dic₃×D₁₇	φ: C₄×D₁₇/D₃₄ → C₂ ⊆ Aut C₃	204	4-	C3:3(C4xD17)	408,7

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁