Extensions 1→N→G→Q→1 with N=C₇xQ₈ and Q=C₂xC₄

Direct product G=NxQ with N=C₇xQ₈ and Q=C₂xC₄

		d	ρ	Label	ID
Q₈xC₂xC₂₈		448		Q8xC2xC28	448,1299

Semidirect products G=N:Q with N=C₇xQ₈ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xQ₈):₁(C₂xC₄) = Dic₇:₇SD₁₆	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	224		(C7xQ8):1(C2xC4)	448,322
(C₇xQ₈):₂(C₂xC₄) = D₇xQ₈:C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	224		(C7xQ8):2(C2xC4)	448,335
(C₇xQ₈):₃(C₂xC₄) = Q₈:(C₄xD₇)	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	224		(C7xQ8):3(C2xC4)	448,337
(C₇xQ₈):₄(C₂xC₄) = Q₈:D₇:C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	224		(C7xQ8):4(C2xC4)	448,351
(C₇xQ₈):₅(C₂xC₄) = D₇xC₄wrC₂	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	56	4	(C7xQ8):5(C2xC4)	448,354
(C₇xQ₈):₆(C₂xC₄) = SD₁₆xDic₇	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	224		(C7xQ8):6(C2xC4)	448,695
(C₇xQ₈):₇(C₂xC₄) = SD₁₆:Dic₇	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	224		(C7xQ8):7(C2xC4)	448,698
(C₇xQ₈):₈(C₂xC₄) = C₄xQ₈:D₇	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):8(C2xC4)	448,559
(C₇xQ₈):₉(C₂xC₄) = C₄².₅₆D₁₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):9(C2xC4)	448,560
(C₇xQ₈):₁₀(C₂xC₄) = C₄xQ₈xD₇	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):10(C2xC4)	448,1024
(C₇xQ₈):₁₁(C₂xC₄) = C₄xQ₈:₂D₇	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):11(C2xC4)	448,1026
(C₇xQ₈):₁₂(C₂xC₄) = C₄².₁₂₆D₁₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):12(C2xC4)	448,1027
(C₇xQ₈):₁₃(C₂xC₄) = SD₁₆xC₂₈	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):13(C2xC4)	448,846
(C₇xQ₈):₁₄(C₂xC₄) = C₇xSD₁₆:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):14(C2xC4)	448,848
(C₇xQ₈):₁₅(C₂xC₄) = C₂xQ₈:Dic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8):15(C2xC4)	448,758
(C₇xQ₈):₁₆(C₂xC₄) = C₄oD₄:Dic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):16(C2xC4)	448,766
(C₇xQ₈):₁₇(C₂xC₄) = C₂xD₄:₂Dic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	112		(C7xQ8):17(C2xC4)	448,769
(C₇xQ₈):₁₈(C₂xC₄) = C₂xQ₈xDic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8):18(C2xC4)	448,1264
(C₇xQ₈):₁₉(C₂xC₄) = C₄oD₄xDic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):19(C2xC4)	448,1279
(C₇xQ₈):₂₀(C₂xC₄) = C₁₄.₁₀₆2_-¹⁺⁴	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):20(C2xC4)	448,1280
(C₇xQ₈):₂₁(C₂xC₄) = C₁₄xQ₈:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8):21(C2xC4)	448,823
(C₇xQ₈):₂₂(C₂xC₄) = C₇xC₂³.₃₆D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):22(C2xC4)	448,825
(C₇xQ₈):₂₃(C₂xC₄) = C₁₄xC₄wrC₂	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	112		(C7xQ8):23(C2xC4)	448,828
(C₇xQ₈):₂₄(C₂xC₄) = C₄oD₄xC₂₈	φ: trivial image	224		(C7xQ8):24(C2xC4)	448,1300
(C₇xQ₈):₂₅(C₂xC₄) = C₇xC₂³.₃₃C₂³	φ: trivial image	224		(C7xQ8):25(C2xC4)	448,1303

Non-split extensions G=N.Q with N=C₇xQ₈ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xQ₈).₁(C₂xC₄) = C₇:Q₁₆:C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	448		(C7xQ8).1(C2xC4)	448,323
(C₇xQ₈).₂(C₂xC₄) = Dic₇:₄Q₁₆	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	448		(C7xQ8).2(C2xC4)	448,324
(C₇xQ₈).₃(C₂xC₄) = (Q₈xD₇):C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	224		(C7xQ8).3(C2xC4)	448,336
(C₇xQ₈).₄(C₂xC₄) = Q₈:₂D₇:C₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	224		(C7xQ8).4(C2xC4)	448,338
(C₇xQ₈).₅(C₂xC₄) = C₄²:D₁₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	112	4	(C7xQ8).5(C2xC4)	448,355
(C₇xQ₈).₆(C₂xC₄) = M₄(2).₂₂D₁₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	112	4	(C7xQ8).6(C2xC4)	448,357
(C₇xQ₈).₇(C₂xC₄) = C₄².₁₉₆D₁₄	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	112	4	(C7xQ8).7(C2xC4)	448,358
(C₇xQ₈).₈(C₂xC₄) = Q₁₆xDic₇	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	448		(C7xQ8).8(C2xC4)	448,717
(C₇xQ₈).₉(C₂xC₄) = Q₁₆:Dic₇	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	448		(C7xQ8).9(C2xC4)	448,718
(C₇xQ₈).₁₀(C₂xC₄) = D₈:₅Dic₇	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	112	4	(C7xQ8).10(C2xC4)	448,730
(C₇xQ₈).₁₁(C₂xC₄) = D₈:₄Dic₇	φ: C₂xC₄/C₂ → C₂² ⊆ Out C₇xQ₈	112	4	(C7xQ8).11(C2xC4)	448,731
(C₇xQ₈).₁₂(C₂xC₄) = C₄xC₇:Q₁₆	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8).12(C2xC4)	448,563
(C₇xQ₈).₁₃(C₂xC₄) = C₄².₅₉D₁₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8).13(C2xC4)	448,564
(C₇xQ₈).₁₄(C₂xC₄) = C₅₆.₉₃D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).14(C2xC4)	448,678
(C₇xQ₈).₁₅(C₂xC₄) = C₅₆.₅₀D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).15(C2xC4)	448,679
(C₇xQ₈).₁₆(C₂xC₄) = C₄².₁₂₅D₁₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).16(C2xC4)	448,1025
(C₇xQ₈).₁₇(C₂xC₄) = D₇xC₈oD₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).17(C2xC4)	448,1202
(C₇xQ₈).₁₈(C₂xC₄) = C₅₆.₄₉C₂³	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).18(C2xC4)	448,1203
(C₇xQ₈).₁₉(C₂xC₄) = Q₁₆xC₂₈	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8).19(C2xC4)	448,847
(C₇xQ₈).₂₀(C₂xC₄) = C₇xQ₁₆:C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	448		(C7xQ8).20(C2xC4)	448,849
(C₇xQ₈).₂₁(C₂xC₄) = C₇xC₈oD₈	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	112	2	(C7xQ8).21(C2xC4)	448,851
(C₇xQ₈).₂₂(C₂xC₄) = C₇xC₈.₂₆D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).22(C2xC4)	448,852
(C₇xQ₈).₂₃(C₂xC₄) = (Q₈xC₁₄):₆C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).23(C2xC4)	448,759
(C₇xQ₈).₂₄(C₂xC₄) = C₂₈.(C₂xD₄)	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).24(C2xC4)	448,767
(C₇xQ₈).₂₅(C₂xC₄) = (D₄xC₁₄):₉C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).25(C2xC4)	448,770
(C₇xQ₈).₂₆(C₂xC₄) = C₁₄.₄₂2_-¹⁺⁴	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).26(C2xC4)	448,1265
(C₇xQ₈).₂₇(C₂xC₄) = C₂xQ₈.Dic₇	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).27(C2xC4)	448,1271
(C₇xQ₈).₂₈(C₂xC₄) = C₂₈.₇₆C₂⁴	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).28(C2xC4)	448,1272
(C₇xQ₈).₂₉(C₂xC₄) = C₇xC₂³.₂₄D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).29(C2xC4)	448,824
(C₇xQ₈).₃₀(C₂xC₄) = C₇xC₂³.₃₈D₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8).30(C2xC4)	448,827
(C₇xQ₈).₃₁(C₂xC₄) = C₇xC₄²:C₂²	φ: C₂xC₄/C₂² → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).31(C2xC4)	448,829
(C₇xQ₈).₃₂(C₂xC₄) = C₇xC₂³.₃₂C₂³	φ: trivial image	224		(C7xQ8).32(C2xC4)	448,1302
(C₇xQ₈).₃₃(C₂xC₄) = C₁₄xC₈oD₄	φ: trivial image	224		(C7xQ8).33(C2xC4)	448,1350
(C₇xQ₈).₃₄(C₂xC₄) = C₇xQ₈oM₄(2)	φ: trivial image	112	4	(C7xQ8).34(C2xC4)	448,1351

Extensions 1→N→G→Q→1 with N=C7xQ8 and Q=C2xC4

Extensions 1→N→G→Q→1 with N=C₇xQ₈ and Q=C₂xC₄