Extensions 1→N→G→Q→1 with N=C₉×D₁₂ and Q=C₂

Direct product G=N×Q with N=C₉×D₁₂ and Q=C₂

		d	ρ	Label	ID
C₁₈×D₁₂		144		C18xD12	432,346

Semidirect products G=N:Q with N=C₉×D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×D₁₂)⋊₁C₂ = D₃₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	144	4	(C9xD12):1C2	432,68
(C₉×D₁₂)⋊₂C₂ = C₉⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	72	4+	(C9xD12):2C2	432,69
(C₉×D₁₂)⋊₃C₂ = D₁₂⋊₅D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	144	4-	(C9xD12):3C2	432,285
(C₉×D₁₂)⋊₄C₂ = D₁₂⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	72	4	(C9xD12):4C2	432,286
(C₉×D₁₂)⋊₅C₂ = D₉×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	72	4+	(C9xD12):5C2	432,292
(C₉×D₁₂)⋊₆C₂ = C₃₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	72	4	(C9xD12):6C2	432,293
(C₉×D₁₂)⋊₇C₂ = C₉×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	144	2	(C9xD12):7C2	432,112
(C₉×D₁₂)⋊₈C₂ = C₉×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	72	4	(C9xD12):8C2	432,150
(C₉×D₁₂)⋊₉C₂ = S₃×D₄×C₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	72	4	(C9xD12):9C2	432,358
(C₉×D₁₂)⋊₁₀C₂ = C₉×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	144	4	(C9xD12):10C2	432,367
(C₉×D₁₂)⋊₁₁C₂ = C₉×C₄○D₁₂	φ: trivial image	72	2	(C9xD12):11C2	432,347

Non-split extensions G=N.Q with N=C₉×D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×D₁₂).₁C₂ = D₁₂.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	144	4	(C9xD12).1C2	432,70
(C₉×D₁₂).₂C₂ = C₃₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	144	4-	(C9xD12).2C2	432,71
(C₉×D₁₂).₃C₂ = C₉×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	144	2	(C9xD12).3C2	432,111
(C₉×D₁₂).₄C₂ = C₉×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×D₁₂	144	4	(C9xD12).4C2	432,158

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁