Extensions 1→N→G→Q→1 with N=D₄xD₇ and Q=C₂²

Direct product G=NxQ with N=D₄xD₇ and Q=C₂²

		d	ρ	Label	ID
C₂²xD₄xD₇		112		C2^2xD4xD7	448,1369

Semidirect products G=N:Q with N=D₄xD₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xD₇):₁C₂² = D₈:₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄xD₇	112	4	(D4xD7):1C2^2	448,1210
(D₄xD₇):₂C₂² = D₈:₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄xD₇	112	4+	(D4xD7):2C2^2	448,1222
(D₄xD₇):₃C₂² = D₈:₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄xD₇	112	8+	(D4xD7):3C2^2	448,1227
(D₄xD₇):₄C₂² = C₂xD₇xD₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7):4C2^2	448,1207
(D₄xD₇):₅C₂² = C₂xD₈:D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7):5C2^2	448,1208
(D₄xD₇):₆C₂² = C₂xD₅₆:C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7):6C2^2	448,1212
(D₄xD₇):₇C₂² = D₈:₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112	4	(D4xD7):7C2^2	448,1221
(D₄xD₇):₈C₂² = D₇xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	56	8+	(D4xD7):8C2^2	448,1225
(D₄xD₇):₉C₂² = SD₁₆:D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112	8-	(D4xD7):9C2^2	448,1226
(D₄xD₇):₁₀C₂² = D₅₆:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112	8+	(D4xD7):10C2^2	448,1230
(D₄xD₇):₁₁C₂² = C₂xD₄:₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7):11C2^2	448,1371
(D₄xD₇):₁₂C₂² = C₂xD₄:₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7):12C2^2	448,1376
(D₄xD₇):₁₃C₂² = C₁₄.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112	4	(D4xD7):13C2^2	448,1378
(D₄xD₇):₁₄C₂² = D₁₄.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112	8-	(D4xD7):14C2^2	448,1380
(D₄xD₇):₁₅C₂² = D₂₈.₃₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112	8+	(D4xD7):15C2^2	448,1382
(D₄xD₇):₁₆C₂² = C₂xD₇xC₄oD₄	φ: trivial image	112		(D4xD7):16C2^2	448,1375
(D₄xD₇):₁₇C₂² = D₇x2₊¹⁺⁴	φ: trivial image	56	8+	(D4xD7):17C2^2	448,1379

Non-split extensions G=N.Q with N=D₄xD₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xD₇).₁C₂² = D₂₈.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄xD₇	112	4	(D4xD7).1C2^2	448,1215
(D₄xD₇).₂C₂² = D₈:₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄xD₇	112	4	(D4xD7).2C2^2	448,1223
(D₄xD₇).₃C₂² = D₈:₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄xD₇	112	8-	(D4xD7).3C2^2	448,1228
(D₄xD₇).₄C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄xD₇	112	8+	(D4xD7).4C2^2	448,1231
(D₄xD₇).₅C₂² = C₂xD₇xSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112		(D4xD7).5C2^2	448,1211
(D₄xD₇).₆C₂² = D₇xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112	4	(D4xD7).6C2^2	448,1220
(D₄xD₇).₇C₂² = D₇xC₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xD₇	112	8-	(D4xD7).7C2^2	448,1229
(D₄xD₇).₈C₂² = D₇x2_-¹⁺⁴	φ: trivial image	112	8-	(D4xD7).8C2^2	448,1381

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