Extensions 1→N→G→Q→1 with N=C₇×C₄○D₄ and Q=C₂²

Direct product G=N×Q with N=C₇×C₄○D₄ and Q=C₂²

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₄		224		C4oD4xC2xC14	448,1388

Semidirect products G=N:Q with N=C₇×C₄○D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄○D₄)⋊₁C₂² = D₇×C₄○D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):1C2^2	448,1220
(C₇×C₄○D₄)⋊₂C₂² = D₈⋊₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):2C2^2	448,1221
(C₇×C₄○D₄)⋊₃C₂² = D₈⋊₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4+	(C7xC4oD4):3C2^2	448,1222
(C₇×C₄○D₄)⋊₄C₂² = D₈⋊₁₁D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):4C2^2	448,1223
(C₇×C₄○D₄)⋊₅C₂² = D₇×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	56	8+	(C7xC4oD4):5C2^2	448,1225
(C₇×C₄○D₄)⋊₆C₂² = D₈⋊₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4):6C2^2	448,1227
(C₇×C₄○D₄)⋊₇C₂² = D₈⋊₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4):7C2^2	448,1228
(C₇×C₄○D₄)⋊₈C₂² = D₂₈.₃₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4):8C2^2	448,1288
(C₇×C₄○D₄)⋊₉C₂² = D₂₈.₃₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4):9C2^2	448,1290
(C₇×C₄○D₄)⋊₁₀C₂² = D₇×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	56	8+	(C7xC4oD4):10C2^2	448,1379
(C₇×C₄○D₄)⋊₁₁C₂² = D₁₄.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4):11C2^2	448,1380
(C₇×C₄○D₄)⋊₁₂C₂² = D₇×2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4):12C2^2	448,1381
(C₇×C₄○D₄)⋊₁₃C₂² = D₂₈.₃₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4):13C2^2	448,1382
(C₇×C₄○D₄)⋊₁₄C₂² = C₇×D₄○D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):14C2^2	448,1359
(C₇×C₄○D₄)⋊₁₅C₂² = C₇×D₄○SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):15C2^2	448,1360
(C₇×C₄○D₄)⋊₁₆C₂² = C₂×D₄⋊D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4):16C2^2	448,1273
(C₇×C₄○D₄)⋊₁₇C₂² = C₂×D₄.₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):17C2^2	448,1274
(C₇×C₄○D₄)⋊₁₈C₂² = C₂₈.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):18C2^2	448,1275
(C₇×C₄○D₄)⋊₁₉C₂² = C₂×D₇×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4):19C2^2	448,1375
(C₇×C₄○D₄)⋊₂₀C₂² = C₂×D₄⋊₈D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4):20C2^2	448,1376
(C₇×C₄○D₄)⋊₂₁C₂² = C₂×D₄.₁₀D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):21C2^2	448,1377
(C₇×C₄○D₄)⋊₂₂C₂² = C₁₄.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):22C2^2	448,1378
(C₇×C₄○D₄)⋊₂₃C₂² = C₁₄×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):23C2^2	448,1355
(C₇×C₄○D₄)⋊₂₄C₂² = C₁₄×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4):24C2^2	448,1356
(C₇×C₄○D₄)⋊₂₅C₂² = C₇×D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4):25C2^2	448,1358
(C₇×C₄○D₄)⋊₂₆C₂² = C₁₄×2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4):26C2^2	448,1389
(C₇×C₄○D₄)⋊₂₇C₂² = C₁₄×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4):27C2^2	448,1390
(C₇×C₄○D₄)⋊₂₈C₂² = C₇×C₂.C₂⁵	φ: trivial image	112	4	(C7xC4oD4):28C2^2	448,1391

Non-split extensions G=N.Q with N=C₇×C₄○D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×C₄○D₄).₁C₂² = D₇×C₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	56	4	(C7xC4oD4).1C2^2	448,354
(C₇×C₄○D₄).₂C₂² = C₄²⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).2C2^2	448,355
(C₇×C₄○D₄).₃C₂² = D₄⋊₄D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	56	4+	(C7xC4oD4).3C2^2	448,356
(C₇×C₄○D₄).₄C₂² = M₄(2).₂₂D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).4C2^2	448,357
(C₇×C₄○D₄).₅C₂² = C₄².₁₉₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).5C2^2	448,358
(C₇×C₄○D₄).₆C₂² = M₄(2)⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).6C2^2	448,359
(C₇×C₄○D₄).₇C₂² = D₄.₉D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4-	(C7xC4oD4).7C2^2	448,360
(C₇×C₄○D₄).₈C₂² = D₄.₁₀D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).8C2^2	448,361
(C₇×C₄○D₄).₉C₂² = D₈⋊₅Dic₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).9C2^2	448,730
(C₇×C₄○D₄).₁₀C₂² = D₈⋊₄Dic₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).10C2^2	448,731
(C₇×C₄○D₄).₁₁C₂² = D₂₈⋊₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	56	8+	(C7xC4oD4).11C2^2	448,732
(C₇×C₄○D₄).₁₂C₂² = M₄(2).D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4).12C2^2	448,733
(C₇×C₄○D₄).₁₃C₂² = M₄(2).₁₃D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4).13C2^2	448,734
(C₇×C₄○D₄).₁₄C₂² = D₂₈.₃₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4).14C2^2	448,735
(C₇×C₄○D₄).₁₅C₂² = D₂₈.₃₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4).15C2^2	448,736
(C₇×C₄○D₄).₁₆C₂² = M₄(2).₁₅D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4).16C2^2	448,737
(C₇×C₄○D₄).₁₇C₂² = M₄(2).₁₆D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	224	8-	(C7xC4oD4).17C2^2	448,738
(C₇×C₄○D₄).₁₈C₂² = D₂₈.₄₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4).18C2^2	448,739
(C₇×C₄○D₄).₁₉C₂² = 2₊¹⁺⁴⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	56	8+	(C7xC4oD4).19C2^2	448,775
(C₇×C₄○D₄).₂₀C₂² = 2₊¹⁺⁴.D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4).20C2^2	448,776
(C₇×C₄○D₄).₂₁C₂² = 2_-¹⁺⁴⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4).21C2^2	448,779
(C₇×C₄○D₄).₂₂C₂² = 2_-¹⁺⁴.D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4).22C2^2	448,780
(C₇×C₄○D₄).₂₃C₂² = D₈.₁₀D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	224	4-	(C7xC4oD4).23C2^2	448,1224
(C₇×C₄○D₄).₂₄C₂² = SD₁₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4).24C2^2	448,1226
(C₇×C₄○D₄).₂₅C₂² = D₇×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4).25C2^2	448,1229
(C₇×C₄○D₄).₂₆C₂² = D₅₆⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4).26C2^2	448,1230
(C₇×C₄○D₄).₂₇C₂² = C₅₆.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8+	(C7xC4oD4).27C2^2	448,1231
(C₇×C₄○D₄).₂₈C₂² = D₂₈.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	224	8-	(C7xC4oD4).28C2^2	448,1232
(C₇×C₄○D₄).₂₉C₂² = D₂₈.₃₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	8-	(C7xC4oD4).29C2^2	448,1289
(C₇×C₄○D₄).₃₀C₂² = D₂₈.₃₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	224	8-	(C7xC4oD4).30C2^2	448,1291
(C₇×C₄○D₄).₃₁C₂² = C₇×D₄⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	56	4	(C7xC4oD4).31C2^2	448,861
(C₇×C₄○D₄).₃₂C₂² = C₇×D₄.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).32C2^2	448,862
(C₇×C₄○D₄).₃₃C₂² = C₇×D₄.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).33C2^2	448,863
(C₇×C₄○D₄).₃₄C₂² = C₇×D₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).34C2^2	448,864
(C₇×C₄○D₄).₃₅C₂² = C₇×Q₈○D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×C₄○D₄	224	4	(C7xC4oD4).35C2^2	448,1361
(C₇×C₄○D₄).₃₆C₂² = D₄.₃D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).36C2^2	448,675
(C₇×C₄○D₄).₃₇C₂² = D₄.₄D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4+	(C7xC4oD4).37C2^2	448,676
(C₇×C₄○D₄).₃₈C₂² = D₄.₅D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224	4-	(C7xC4oD4).38C2^2	448,677
(C₇×C₄○D₄).₃₉C₂² = C₅₆.₉₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).39C2^2	448,678
(C₇×C₄○D₄).₄₀C₂² = C₅₆.₅₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).40C2^2	448,679
(C₇×C₄○D₄).₄₁C₂² = C₂×D₄⋊₂Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4).41C2^2	448,769
(C₇×C₄○D₄).₄₂C₂² = (D₄×C₁₄)⋊₉C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).42C2^2	448,770
(C₇×C₄○D₄).₄₃C₂² = D₇×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).43C2^2	448,1202
(C₇×C₄○D₄).₄₄C₂² = C₅₆.₄₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).44C2^2	448,1203
(C₇×C₄○D₄).₄₅C₂² = D₄.₁₁D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).45C2^2	448,1204
(C₇×C₄○D₄).₄₆C₂² = D₄.₁₂D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4+	(C7xC4oD4).46C2^2	448,1205
(C₇×C₄○D₄).₄₇C₂² = D₄.₁₃D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224	4-	(C7xC4oD4).47C2^2	448,1206
(C₇×C₄○D₄).₄₈C₂² = C₂×Q₈.Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4).48C2^2	448,1271
(C₇×C₄○D₄).₄₉C₂² = C₂₈.₇₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).49C2^2	448,1272
(C₇×C₄○D₄).₅₀C₂² = C₂×D₄.₉D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4).50C2^2	448,1276
(C₇×C₄○D₄).₅₁C₂² = C₁₄×C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112		(C7xC4oD4).51C2^2	448,828
(C₇×C₄○D₄).₅₂C₂² = C₇×C₄²⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).52C2^2	448,829
(C₇×C₄○D₄).₅₃C₂² = C₇×C₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	2	(C7xC4oD4).53C2^2	448,851
(C₇×C₄○D₄).₅₄C₂² = C₇×C₈.₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).54C2^2	448,852
(C₇×C₄○D₄).₅₅C₂² = C₇×D₄.₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).55C2^2	448,879
(C₇×C₄○D₄).₅₆C₂² = C₇×D₄.₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	112	4	(C7xC4oD4).56C2^2	448,880
(C₇×C₄○D₄).₅₇C₂² = C₇×D₄.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224	4	(C7xC4oD4).57C2^2	448,881
(C₇×C₄○D₄).₅₈C₂² = C₁₄×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₇×C₄○D₄	224		(C7xC4oD4).58C2^2	448,1357
(C₇×C₄○D₄).₅₉C₂² = C₁₄×C₈○D₄	φ: trivial image	224		(C7xC4oD4).59C2^2	448,1350
(C₇×C₄○D₄).₆₀C₂² = C₇×Q₈○M₄(2)	φ: trivial image	112	4	(C7xC4oD4).60C2^2	448,1351

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Extensions 1→N→G→Q→1 with N=C7×C4○D4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₇×C₄○D₄ and Q=C₂²