Extensions 1→N→G→Q→1 with N=Dic₃×C₁₇ and Q=C₂

Direct product G=N×Q with N=Dic₃×C₁₇ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₃₄		408		Dic3xC34	408,23

Semidirect products G=N:Q with N=Dic₃×C₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Dic₃×C₁₇)⋊₁C₂ = Dic₃×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₇	204	4-	(Dic3xC17):1C2	408,7
(Dic₃×C₁₇)⋊₂C₂ = D₅₁⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₇	204	4+	(Dic3xC17):2C2	408,9
(Dic₃×C₁₇)⋊₃C₂ = C₃⋊D₆₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₇	204	4+	(Dic3xC17):3C2	408,11
(Dic₃×C₁₇)⋊₄C₂ = C₁₇×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₇	204	2	(Dic3xC17):4C2	408,24
(Dic₃×C₁₇)⋊₅C₂ = S₃×C₆₈	φ: trivial image	204	2	(Dic3xC17):5C2	408,21

Non-split extensions G=N.Q with N=Dic₃×C₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Dic₃×C₁₇).₁C₂ = C₅₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₇	408	4-	(Dic3xC17).1C2	408,13
(Dic₃×C₁₇).₂C₂ = C₁₇×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₇	408	2	(Dic3xC17).2C2	408,20

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁