Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=Dic₃

Direct product G=N×Q with N=C₂×C₈ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₈		192		Dic3xC2xC8	192,657

Semidirect products G=N:Q with N=C₂×C₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁Dic₃ = (C₂×C₂₄)⋊C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₈	48	4	(C2xC8):1Dic3	192,115
(C₂×C₈)⋊₂Dic₃ = C₁₂.₂₀C₄²	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₈	48	4	(C2xC8):2Dic3	192,116
(C₂×C₈)⋊₃Dic₃ = (C₂×C₂₄)⋊₅C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8):3Dic3	192,109
(C₂×C₈)⋊₄Dic₃ = C₁₂.₉C₄²	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8):4Dic3	192,110
(C₂×C₈)⋊₅Dic₃ = C₂×C₂₄⋊₁C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8):5Dic3	192,664
(C₂×C₈)⋊₆Dic₃ = C₂³.₂₇D₁₂	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8):6Dic3	192,665
(C₂×C₈)⋊₇Dic₃ = C₂×C₈⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8):7Dic3	192,663
(C₂×C₈)⋊₈Dic₃ = C₂×C₂₄⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8):8Dic3	192,659
(C₂×C₈)⋊₉Dic₃ = C₁₂.₁₂C₄²	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8):9Dic3	192,660

Non-split extensions G=N.Q with N=C₂×C₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁Dic₃ = C₁₂.₁₅C₄²	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₈	48	4	(C2xC8).1Dic3	192,25
(C₂×C₈).₂Dic₃ = C₂₄.D₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₈	48	4	(C2xC8).2Dic3	192,112
(C₂×C₈).₃Dic₃ = C₁₂.₂₁C₄²	φ: Dic₃/C₃ → C₄ ⊆ Aut C₂×C₈	48	4	(C2xC8).3Dic3	192,119
(C₂×C₈).₄Dic₃ = C₄².₂₇₉D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8).4Dic3	192,13
(C₂×C₈).₅Dic₃ = C₁₂⋊C₁₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8).5Dic3	192,21
(C₂×C₈).₆Dic₃ = C₂₄.₉₈D₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).6Dic3	192,108
(C₂×C₈).₇Dic₃ = C₁₂.₁₀C₄²	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).7Dic3	192,111
(C₂×C₈).₈Dic₃ = C₂₄⋊₁C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8).8Dic3	192,17
(C₂×C₈).₉Dic₃ = C₂₄.₁C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	48	2	(C2xC8).9Dic3	192,22
(C₂×C₈).₁₀Dic₃ = C₂₄⋊₂C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8).10Dic3	192,16
(C₂×C₈).₁₁Dic₃ = C₂×C₂₄.C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).11Dic3	192,666
(C₂×C₈).₁₂Dic₃ = C₂₄⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8).12Dic3	192,14
(C₂×C₈).₁₃Dic₃ = C₂₄.C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	192		(C2xC8).13Dic3	192,20
(C₂×C₈).₁₄Dic₃ = C₃⋊M₆(2)	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	96	2	(C2xC8).14Dic3	192,58
(C₂×C₈).₁₅Dic₃ = C₂×C₁₂.C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂×C₈	96		(C2xC8).15Dic3	192,656
(C₂×C₈).₁₆Dic₃ = C₈×C₃⋊C₈	central extension (φ=1)	192		(C2xC8).16Dic3	192,12
(C₂×C₈).₁₇Dic₃ = C₄×C₃⋊C₁₆	central extension (φ=1)	192		(C2xC8).17Dic3	192,19
(C₂×C₈).₁₈Dic₃ = C₂×C₃⋊C₃₂	central extension (φ=1)	192		(C2xC8).18Dic3	192,57
(C₂×C₈).₁₉Dic₃ = C₂²×C₃⋊C₁₆	central extension (φ=1)	192		(C2xC8).19Dic3	192,655

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