Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=SD₁₆

Direct product G=N×Q with N=C₂×C₁₄ and Q=SD₁₆

		d	ρ	Label	ID
SD₁₆×C₂×C₁₄		224		SD16xC2xC14	448,1353

Semidirect products G=N:Q with N=C₂×C₁₄ and Q=SD₁₆

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₁₄)⋊₁SD₁₆ = D₂₈.₃₁D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112	(C2xC14):1SD16	448,265
(C₂×C₁₄)⋊₂SD₁₆ = Dic₁₄⋊₁₄D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224	(C2xC14):2SD16	448,272
(C₂×C₁₄)⋊₃SD₁₆ = Dic₁₄⋊₁₇D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224	(C2xC14):3SD16	448,574
(C₂×C₁₄)⋊₄SD₁₆ = C₇⋊C₈⋊₂₃D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224	(C2xC14):4SD16	448,575
(C₂×C₁₄)⋊₅SD₁₆ = D₂₈.₃₆D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112	(C2xC14):5SD16	448,580
(C₂×C₁₄)⋊₆SD₁₆ = C₇⋊C₈⋊₂₄D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224	(C2xC14):6SD16	448,582
(C₂×C₁₄)⋊₇SD₁₆ = C₇×C₈⋊₈D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):7SD16	448,873
(C₂×C₁₄)⋊₈SD₁₆ = C₅₆⋊₃₀D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):8SD16	448,648
(C₂×C₁₄)⋊₉SD₁₆ = C₂²×C₅₆⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):9SD16	448,1192
(C₂×C₁₄)⋊₁₀SD₁₆ = C₇×C₂²⋊SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	112	(C2xC14):10SD16	448,858
(C₂×C₁₄)⋊₁₁SD₁₆ = (C₇×D₄).₃₁D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	112	(C2xC14):11SD16	448,752
(C₂×C₁₄)⋊₁₂SD₁₆ = C₂²×D₄.D₇	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):12SD16	448,1247
(C₂×C₁₄)⋊₁₃SD₁₆ = C₇×Q₈⋊D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):13SD16	448,856
(C₂×C₁₄)⋊₁₄SD₁₆ = (C₇×Q₈)⋊₁₃D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):14SD16	448,761
(C₂×C₁₄)⋊₁₅SD₁₆ = C₂²×Q₈⋊D₇	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	224	(C2xC14):15SD16	448,1260

Non-split extensions G=N.Q with N=C₂×C₁₄ and Q=SD₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₄).₁SD₁₆ = C₂³.₃₀D₂₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112		(C2xC14).1SD16	448,24
(C₂×C₁₄).₂SD₁₆ = C₂².₂D₅₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112		(C2xC14).2SD16	448,27
(C₂×C₁₄).₃SD₁₆ = C₈.Dic₁₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112	4	(C2xC14).3SD16	448,51
(C₂×C₁₄).₄SD₁₆ = D₅₆.C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112	4+	(C2xC14).4SD16	448,52
(C₂×C₁₄).₅SD₁₆ = C₅₆.₈D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224	4-	(C2xC14).5SD16	448,53
(C₂×C₁₄).₆SD₁₆ = Dic₂₈.C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224	4	(C2xC14).6SD16	448,54
(C₂×C₁₄).₇SD₁₆ = C₁₆⋊Dic₇	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112	4	(C2xC14).7SD16	448,70
(C₂×C₁₄).₈SD₁₆ = C₂₈.₃D₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112	4+	(C2xC14).8SD16	448,73
(C₂×C₁₄).₉SD₁₆ = C₂₈.₄D₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224	4-	(C2xC14).9SD16	448,74
(C₂×C₁₄).₁₀SD₁₆ = (D₄×C₁₄)⋊C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112		(C2xC14).10SD16	448,94
(C₂×C₁₄).₁₁SD₁₆ = C₄⋊C₄⋊Dic₇	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	112		(C2xC14).11SD16	448,95
(C₂×C₁₄).₁₂SD₁₆ = C₂₈.₅₈D₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224	4	(C2xC14).12SD16	448,124
(C₂×C₁₄).₁₃SD₁₆ = C₂³.₃₄D₂₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224		(C2xC14).13SD16	448,255
(C₂×C₁₄).₁₄SD₁₆ = C₂³.₃₈D₂₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224		(C2xC14).14SD16	448,269
(C₂×C₁₄).₁₅SD₁₆ = C₄⋊D₄.D₇	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224		(C2xC14).15SD16	448,568
(C₂×C₁₄).₁₆SD₁₆ = C₂²⋊Q₈.D₇	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₂×C₁₄	224		(C2xC14).16SD16	448,577
(C₂×C₁₄).₁₇SD₁₆ = C₇×D₈.C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	2	(C2xC14).17SD16	448,163
(C₂×C₁₄).₁₈SD₁₆ = D₅₆.₁C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224	2	(C2xC14).18SD16	448,67
(C₂×C₁₄).₁₉SD₁₆ = C₂₈.₉C₄²	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	448		(C2xC14).19SD16	448,108
(C₂×C₁₄).₂₀SD₁₆ = C₂×C₂₈.₄₄D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	448		(C2xC14).20SD16	448,637
(C₂×C₁₄).₂₁SD₁₆ = C₂×C₈⋊Dic₇	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	448		(C2xC14).21SD16	448,638
(C₂×C₁₄).₂₂SD₁₆ = C₂×C₂.D₅₆	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).22SD16	448,646
(C₂×C₁₄).₂₃SD₁₆ = C₇×C₂³.₃₁D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).23SD16	448,132
(C₂×C₁₄).₂₄SD₁₆ = C₇×M₅(2)⋊C₂	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	112	4	(C2xC14).24SD16	448,165
(C₂×C₁₄).₂₅SD₁₆ = C₇×C₈.₁₇D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	224	4	(C2xC14).25SD16	448,166
(C₂×C₁₄).₂₆SD₁₆ = C₇×C₈.Q₈	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	112	4	(C2xC14).26SD16	448,169
(C₂×C₁₄).₂₇SD₁₆ = C₇×C₂³.₄₇D₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).27SD16	448,891
(C₂×C₁₄).₂₈SD₁₆ = C₄⋊Dic₇⋊C₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).28SD16	448,9
(C₂×C₁₄).₂₉SD₁₆ = C₅₆.Q₈	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	112	4	(C2xC14).29SD16	448,44
(C₂×C₁₄).₃₀SD₁₆ = D₈.Dic₇	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	112	4	(C2xC14).30SD16	448,120
(C₂×C₁₄).₃₁SD₁₆ = Q₁₆.Dic₇	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	224	4	(C2xC14).31SD16	448,122
(C₂×C₁₄).₃₂SD₁₆ = C₂×C₁₄.Q₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	448		(C2xC14).32SD16	448,503
(C₂×C₁₄).₃₃SD₁₆ = C₄⋊C₄.₂₃₁D₁₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).33SD16	448,505
(C₂×C₁₄).₃₄SD₁₆ = C₂×D₄⋊Dic₇	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).34SD16	448,748
(C₂×C₁₄).₃₅SD₁₆ = C₇×C₂².SD₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).35SD16	448,131
(C₂×C₁₄).₃₆SD₁₆ = C₇×C₂³.₄₆D₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).36SD16	448,889
(C₂×C₁₄).₃₇SD₁₆ = C₁₄.C₄≀C₂	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	112		(C2xC14).37SD16	448,8
(C₂×C₁₄).₃₈SD₁₆ = C₂₈.C₄²	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	448		(C2xC14).38SD16	448,86
(C₂×C₁₄).₃₉SD₁₆ = C₂×C₄.Dic₁₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	448		(C2xC14).39SD16	448,497
(C₂×C₁₄).₄₀SD₁₆ = C₂×C₁₄.D₈	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).40SD16	448,499
(C₂×C₁₄).₄₁SD₁₆ = C₄⋊C₄.₂₂₈D₁₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	224		(C2xC14).41SD16	448,502
(C₂×C₁₄).₄₂SD₁₆ = C₂×Q₈⋊Dic₇	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₂×C₁₄	448		(C2xC14).42SD16	448,758
(C₂×C₁₄).₄₃SD₁₆ = C₇×C₂².₄Q₁₆	central extension (φ=1)	448		(C2xC14).43SD16	448,144
(C₂×C₁₄).₄₄SD₁₆ = C₁₄×D₄⋊C₄	central extension (φ=1)	224		(C2xC14).44SD16	448,822
(C₂×C₁₄).₄₅SD₁₆ = C₁₄×Q₈⋊C₄	central extension (φ=1)	448		(C2xC14).45SD16	448,823
(C₂×C₁₄).₄₆SD₁₆ = C₁₄×C₄.Q₈	central extension (φ=1)	448		(C2xC14).46SD16	448,833

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Extensions 1→N→G→Q→1 with N=C2×C14 and Q=SD16

Extensions 1→N→G→Q→1 with N=C₂×C₁₄ and Q=SD₁₆