Extensions 1→N→G→Q→1 with N=C₂×C₁₈ and Q=Dic₃

Direct product G=N×Q with N=C₂×C₁₈ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₁₈		144		Dic3xC2xC18	432,373

Semidirect products G=N:Q with N=C₂×C₁₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈)⋊₁Dic₃ = C₉×A₄⋊C₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂×C₁₈	108	3	(C2xC18):1Dic3	432,242
(C₂×C₁₈)⋊₂Dic₃ = A₄⋊Dic₉	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂×C₁₈	108	6-	(C2xC18):2Dic3	432,254
(C₂×C₁₈)⋊₃Dic₃ = C₉×C₆.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	72		(C2xC18):3Dic3	432,165
(C₂×C₁₈)⋊₄Dic₃ = C₆².₁₂₇D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	216		(C2xC18):4Dic3	432,198
(C₂×C₁₈)⋊₅Dic₃ = C₂²×C₉⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	432		(C2xC18):5Dic3	432,396

Non-split extensions G=N.Q with N=C₂×C₁₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₈).Dic₃ = C₁₈.S₄	φ: Dic₃/C₂ → S₃ ⊆ Aut C₂×C₁₈	108	6-	(C2xC18).Dic3	432,39
(C₂×C₁₈).₂Dic₃ = C₉×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	72	2	(C2xC18).2Dic3	432,127
(C₂×C₁₈).₃Dic₃ = C₂×C₂₇⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	432		(C2xC18).3Dic3	432,9
(C₂×C₁₈).₄Dic₃ = C₄.Dic₂₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	216	2	(C2xC18).4Dic3	432,10
(C₂×C₁₈).₅Dic₃ = C₅₄.D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	216		(C2xC18).5Dic3	432,19
(C₂×C₁₈).₆Dic₃ = C₂²×Dic₂₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	432		(C2xC18).6Dic3	432,51
(C₂×C₁₈).₇Dic₃ = C₂×C₃₆.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	432		(C2xC18).7Dic3	432,178
(C₂×C₁₈).₈Dic₃ = C₃₆.₆₉D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₁₈	216		(C2xC18).8Dic3	432,179
(C₂×C₁₈).₉Dic₃ = C₁₈×C₃⋊C₈	central extension (φ=1)	144		(C2xC18).9Dic3	432,126

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁