Extensions 1→N→G→Q→1 with N=C₆×D₁₇ and Q=C₂

Direct product G=N×Q with N=C₆×D₁₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×D₁₇		204		C2xC6xD17	408,43

Semidirect products G=N:Q with N=C₆×D₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₁₇)⋊₁C₂ = C₅₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₇	204	4-	(C6xD17):1C2	408,10
(C₆×D₁₇)⋊₂C₂ = C₃⋊D₆₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₇	204	4+	(C6xD17):2C2	408,11
(C₆×D₁₇)⋊₃C₂ = C₂×S₃×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₇	102	4+	(C6xD17):3C2	408,41
(C₆×D₁₇)⋊₄C₂ = C₃×D₆₈	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₇	204	2	(C6xD17):4C2	408,17
(C₆×D₁₇)⋊₅C₂ = C₃×C₁₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₇	204	2	(C6xD17):5C2	408,19

Non-split extensions G=N.Q with N=C₆×D₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₁₇).₁C₂ = Dic₃×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₇	204	4-	(C6xD17).1C2	408,7
(C₆×D₁₇).₂C₂ = C₂×C₅₁⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₇	102	4	(C6xD17).2C2	408,40
(C₆×D₁₇).₃C₂ = C₆×C₁₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₇	102	4	(C6xD17).3C2	408,39
(C₆×D₁₇).₄C₂ = C₁₂×D₁₇	φ: trivial image	204	2	(C6xD17).4C2	408,16

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁