Extensions 1→N→G→Q→1 with N=C₇xD₈ and Q=C₂²

Direct product G=NxQ with N=C₇xD₈ and Q=C₂²

		d	ρ	Label	ID
D₈xC₂xC₁₄		224		D8xC2xC14	448,1352

Semidirect products G=N:Q with N=C₇xD₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xD₈):₁C₂² = D₇xC₈:C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	56	8+	(C7xD8):1C2^2	448,1225
(C₇xD₈):₂C₂² = SD₁₆:D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	112	8-	(C7xD8):2C2^2	448,1226
(C₇xD₈):₃C₂² = D₈:₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	112	8+	(C7xD8):3C2^2	448,1227
(C₇xD₈):₄C₂² = D₈:₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	112	8-	(C7xD8):4C2^2	448,1228
(C₇xD₈):₅C₂² = D₇xD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	112	4+	(C7xD8):5C2^2	448,444
(C₇xD₈):₆C₂² = D₈:D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	112	4	(C7xD8):6C2^2	448,445
(C₇xD₈):₇C₂² = C₂xC₇:D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8):7C2^2	448,680
(C₇xD₈):₈C₂² = Q₁₆:D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4+	(C7xD8):8C2^2	448,727
(C₇xD₈):₉C₂² = C₂xD₇xD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112		(C7xD8):9C2^2	448,1207
(C₇xD₈):₁₀C₂² = C₂xD₈:₃D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8):10C2^2	448,1209
(C₇xD₈):₁₁C₂² = D₈:₁₃D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):11C2^2	448,1210
(C₇xD₈):₁₂C₂² = D₇xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):12C2^2	448,1220
(C₇xD₈):₁₃C₂² = D₈:₁₅D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4+	(C7xD8):13C2^2	448,1222
(C₇xD₈):₁₄C₂² = C₂xD₈:D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112		(C7xD8):14C2^2	448,1208
(C₇xD₈):₁₅C₂² = D₈:₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):15C2^2	448,1221
(C₇xD₈):₁₆C₂² = D₈:₁₁D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):16C2^2	448,1223
(C₇xD₈):₁₇C₂² = C₁₄xD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8):17C2^2	448,913
(C₇xD₈):₁₈C₂² = C₇xC₁₆:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):18C2^2	448,917
(C₇xD₈):₁₉C₂² = C₁₄xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112		(C7xD8):19C2^2	448,1356
(C₇xD₈):₂₀C₂² = C₇xD₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):20C2^2	448,1358
(C₇xD₈):₂₁C₂² = C₇xD₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):21C2^2	448,1359
(C₇xD₈):₂₂C₂² = C₇xD₄oSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8):22C2^2	448,1360
(C₇xD₈):₂₃C₂² = C₁₄xC₄oD₈	φ: trivial image	224		(C7xD8):23C2^2	448,1355

Non-split extensions G=N.Q with N=C₇xD₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xD₈).₁C₂² = D₁₆:₃D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	224	4-	(C7xD8).1C2^2	448,446
(C₇xD₈).₂C₂² = D₇xSD₃₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	112	4	(C7xD8).2C2^2	448,447
(C₇xD₈).₃C₂² = D₁₁₂:C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	112	4+	(C7xD8).3C2^2	448,448
(C₇xD₈).₄C₂² = SD₃₂:D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	224	4-	(C7xD8).4C2^2	448,449
(C₇xD₈).₅C₂² = SD₃₂:₃D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇xD₈	224	4	(C7xD8).5C2^2	448,450
(C₇xD₈).₆C₂² = D₈.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	112	4	(C7xD8).6C2^2	448,681
(C₇xD₈).₇C₂² = C₂xD₈.D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8).7C2^2	448,682
(C₇xD₈).₈C₂² = C₅₆.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224	4	(C7xD8).8C2^2	448,728
(C₇xD₈).₉C₂² = C₅₆.₃₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224	4-	(C7xD8).9C2^2	448,729
(C₇xD₈).₁₀C₂² = D₈.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224	4-	(C7xD8).10C2^2	448,1224
(C₇xD₈).₁₁C₂² = C₁₄xSD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224		(C7xD8).11C2^2	448,914
(C₇xD₈).₁₂C₂² = C₇xC₄oD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224	2	(C7xD8).12C2^2	448,916
(C₇xD₈).₁₃C₂² = C₇xQ₃₂:C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇xD₈	224	4	(C7xD8).13C2^2	448,918
(C₇xD₈).₁₄C₂² = C₇xQ₈oD₈	φ: trivial image	224	4	(C7xD8).14C2^2	448,1361

Extensions 1→N→G→Q→1 with N=C7xD8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₇xD₈ and Q=C₂²