Extensions 1→N→G→Q→1 with N=C₂×C₁₈ and Q=A₄

Direct product G=N×Q with N=C₂×C₁₈ and Q=A₄

		d	ρ	Label	ID
A₄×C₂×C₁₈		108		A4xC2xC18	432,546

Semidirect products G=N:Q with N=C₂×C₁₈ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈)⋊₁A₄ = C₉×C₂²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₈	108		(C2xC18):1A4	432,551
(C₂×C₁₈)⋊₂A₄ = C₂⁴⋊₄3_-¹⁺²	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₈	108		(C2xC18):2A4	432,552
(C₂×C₁₈)⋊₃A₄ = C₂²×C₉⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₈	108		(C2xC18):3A4	432,547

Non-split extensions G=N.Q with N=C₂×C₁₈ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈).₁A₄ = C₄²⋊C₂₇	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₈	108	3	(C2xC18).1A4	432,3
(C₂×C₁₈).₂A₄ = C₉×C₄²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₈	108	3	(C2xC18).2A4	432,99
(C₂×C₁₈).₃A₄ = C₄²⋊3_-¹⁺²	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₈	108	3	(C2xC18).3A4	432,100
(C₂×C₁₈).₄A₄ = C₂⁴⋊C₂₇	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₈	108		(C2xC18).4A4	432,226
(C₂×C₁₈).₅A₄ = C₂×C₁₈.A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₈	144		(C2xC18).5A4	432,328
(C₂×C₁₈).₆A₄ = C₂×Q₈⋊C₂₇	central extension (φ=1)	432		(C2xC18).6A4	432,41
(C₂×C₁₈).₇A₄ = C₂²×C₉.A₄	central extension (φ=1)	108		(C2xC18).7A4	432,225
(C₂×C₁₈).₈A₄ = C₁₈×SL₂(𝔽₃)	central extension (φ=1)	144		(C2xC18).8A4	432,327

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁