Extensions 1→N→G→Q→1 with N=D₄×D₇ and Q=C₂²

Direct product G=N×Q with N=D₄×D₇ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄×D₇		112		C2^2xD4xD7	448,1369

Semidirect products G=N:Q with N=D₄×D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₇)⋊₁C₂² = D₈⋊₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₇	112	4	(D4xD7):1C2^2	448,1210
(D₄×D₇)⋊₂C₂² = D₈⋊₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₇	112	4+	(D4xD7):2C2^2	448,1222
(D₄×D₇)⋊₃C₂² = D₈⋊₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₇	112	8+	(D4xD7):3C2^2	448,1227
(D₄×D₇)⋊₄C₂² = C₂×D₇×D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7):4C2^2	448,1207
(D₄×D₇)⋊₅C₂² = C₂×D₈⋊D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7):5C2^2	448,1208
(D₄×D₇)⋊₆C₂² = C₂×D₅₆⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7):6C2^2	448,1212
(D₄×D₇)⋊₇C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112	4	(D4xD7):7C2^2	448,1221
(D₄×D₇)⋊₈C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	56	8+	(D4xD7):8C2^2	448,1225
(D₄×D₇)⋊₉C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112	8-	(D4xD7):9C2^2	448,1226
(D₄×D₇)⋊₁₀C₂² = D₅₆⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112	8+	(D4xD7):10C2^2	448,1230
(D₄×D₇)⋊₁₁C₂² = C₂×D₄⋊₆D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7):11C2^2	448,1371
(D₄×D₇)⋊₁₂C₂² = C₂×D₄⋊₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7):12C2^2	448,1376
(D₄×D₇)⋊₁₃C₂² = C₁₄.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112	4	(D4xD7):13C2^2	448,1378
(D₄×D₇)⋊₁₄C₂² = D₁₄.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112	8-	(D4xD7):14C2^2	448,1380
(D₄×D₇)⋊₁₅C₂² = D₂₈.₃₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112	8+	(D4xD7):15C2^2	448,1382
(D₄×D₇)⋊₁₆C₂² = C₂×D₇×C₄○D₄	φ: trivial image	112		(D4xD7):16C2^2	448,1375
(D₄×D₇)⋊₁₇C₂² = D₇×2₊¹⁺⁴	φ: trivial image	56	8+	(D4xD7):17C2^2	448,1379

Non-split extensions G=N.Q with N=D₄×D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₇).₁C₂² = D₂₈.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₇	112	4	(D4xD7).1C2^2	448,1215
(D₄×D₇).₂C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₇	112	4	(D4xD7).2C2^2	448,1223
(D₄×D₇).₃C₂² = D₈⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₇	112	8-	(D4xD7).3C2^2	448,1228
(D₄×D₇).₄C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄×D₇	112	8+	(D4xD7).4C2^2	448,1231
(D₄×D₇).₅C₂² = C₂×D₇×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112		(D4xD7).5C2^2	448,1211
(D₄×D₇).₆C₂² = D₇×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112	4	(D4xD7).6C2^2	448,1220
(D₄×D₇).₇C₂² = D₇×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×D₇	112	8-	(D4xD7).7C2^2	448,1229
(D₄×D₇).₈C₂² = D₇×2_-¹⁺⁴	φ: trivial image	112	8-	(D4xD7).8C2^2	448,1381

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