Extensions 1→N→G→Q→1 with N=Q₈×C₃×C₆ and Q=C₂

Direct product G=N×Q with N=Q₈×C₃×C₆ and Q=C₂

		d	ρ	Label	ID
Q₈×C₆²		288		Q8xC6^2	288,1020

Semidirect products G=N:Q with N=Q₈×C₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃×C₆)⋊₁C₂ = C₆×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6):1C2	288,712
(Q₈×C₃×C₆)⋊₂C₂ = C₃×Q₈.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	48	4	(Q8xC3xC6):2C2	288,713
(Q₈×C₃×C₆)⋊₃C₂ = C₃×D₆⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6):3C2	288,717
(Q₈×C₃×C₆)⋊₄C₂ = C₃×C₁₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6):4C2	288,718
(Q₈×C₃×C₆)⋊₅C₂ = C₂×C₃²⋊₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):5C2	288,798
(Q₈×C₃×C₆)⋊₆C₂ = C₆².₁₃₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):6C2	288,799
(Q₈×C₃×C₆)⋊₇C₂ = C₆².₂₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):7C2	288,803
(Q₈×C₃×C₆)⋊₈C₂ = C₆².₂₆₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):8C2	288,804
(Q₈×C₃×C₆)⋊₉C₂ = S₃×C₆×Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6):9C2	288,995
(Q₈×C₃×C₆)⋊₁₀C₂ = C₆×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6):10C2	288,996
(Q₈×C₃×C₆)⋊₁₁C₂ = C₃×Q₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	48	4	(Q8xC3xC6):11C2	288,997
(Q₈×C₃×C₆)⋊₁₂C₂ = C₂×Q₈×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):12C2	288,1010
(Q₈×C₃×C₆)⋊₁₃C₂ = C₂×C₁₂.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):13C2	288,1011
(Q₈×C₃×C₆)⋊₁₄C₂ = C₃²⋊₇2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):14C2	288,1012
(Q₈×C₃×C₆)⋊₁₅C₂ = C₃²×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):15C2	288,819
(Q₈×C₃×C₆)⋊₁₆C₂ = C₃²×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):16C2	288,821
(Q₈×C₃×C₆)⋊₁₇C₂ = SD₁₆×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):17C2	288,830
(Q₈×C₃×C₆)⋊₁₈C₂ = C₃²×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):18C2	288,834
(Q₈×C₃×C₆)⋊₁₉C₂ = C₃²×2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):19C2	288,1023
(Q₈×C₃×C₆)⋊₂₀C₂ = C₄○D₄×C₃×C₆	φ: trivial image	144		(Q8xC3xC6):20C2	288,1021

Non-split extensions G=N.Q with N=Q₈×C₃×C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃×C₆).₁C₂ = C₃×Q₈⋊₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6).1C2	288,269
(Q₈×C₃×C₆).₂C₂ = C₃×C₁₂.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	48	4	(Q8xC3xC6).2C2	288,270
(Q₈×C₃×C₆).₃C₂ = C₆².₁₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	288		(Q8xC3xC6).3C2	288,310
(Q₈×C₃×C₆).₄C₂ = (C₆×C₁₂).C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6).4C2	288,311
(Q₈×C₃×C₆).₅C₂ = C₆×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6).5C2	288,714
(Q₈×C₃×C₆).₆C₂ = C₃×Dic₃⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6).6C2	288,715
(Q₈×C₃×C₆).₇C₂ = C₃×Q₈×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	96		(Q8xC3xC6).7C2	288,716
(Q₈×C₃×C₆).₈C₂ = C₂×C₃²⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	288		(Q8xC3xC6).8C2	288,800
(Q₈×C₃×C₆).₉C₂ = C₆².₂₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	288		(Q8xC3xC6).9C2	288,801
(Q₈×C₃×C₆).₁₀C₂ = Q₈×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	288		(Q8xC3xC6).10C2	288,802
(Q₈×C₃×C₆).₁₁C₂ = C₃²×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6).11C2	288,319
(Q₈×C₃×C₆).₁₂C₂ = C₃²×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	288		(Q8xC3xC6).12C2	288,321
(Q₈×C₃×C₆).₁₃C₂ = C₃²×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	288		(Q8xC3xC6).13C2	288,825
(Q₈×C₃×C₆).₁₄C₂ = Q₁₆×C₃×C₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃×C₆	288		(Q8xC3xC6).14C2	288,831
(Q₈×C₃×C₆).₁₅C₂ = Q₈×C₃×C₁₂	φ: trivial image	288		(Q8xC3xC6).15C2	288,816

⋊

ℤ

𝔽

○

≀

Extensions 1→N→G→Q→1 with N=Q8×C3×C6 and Q=C2

Extensions 1→N→G→Q→1 with N=Q₈×C₃×C₆ and Q=C₂