Extensions 1→N→G→Q→1 with N=C₇×D₄ and Q=C₂³

Direct product G=N×Q with N=C₇×D₄ and Q=C₂³

		d	ρ	Label	ID
D₄×C₂²×C₁₄		224		D4xC2^2xC14	448,1386

Semidirect products G=N:Q with N=C₇×D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄)⋊₁C₂³ = C₂×D₇×D₈	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112		(C7xD4):1C2^3	448,1207
(C₇×D₄)⋊₂C₂³ = C₂×D₈⋊D₇	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112		(C7xD4):2C2^3	448,1208
(C₇×D₄)⋊₃C₂³ = D₇×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	56	8+	(C7xD4):3C2^3	448,1225
(C₇×D₄)⋊₄C₂³ = C₂²×D₄⋊D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4):4C2^3	448,1245
(C₇×D₄)⋊₅C₂³ = C₂×D₄⋊D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112		(C7xD4):5C2^3	448,1273
(C₇×D₄)⋊₆C₂³ = C₂²×D₄×D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112		(C7xD4):6C2^3	448,1369
(C₇×D₄)⋊₇C₂³ = C₂²×D₄⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4):7C2^3	448,1370
(C₇×D₄)⋊₈C₂³ = C₂×D₄⋊₆D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112		(C7xD4):8C2^3	448,1371
(C₇×D₄)⋊₉C₂³ = C₂×D₇×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112		(C7xD4):9C2^3	448,1375
(C₇×D₄)⋊₁₀C₂³ = C₂×D₄⋊₈D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112		(C7xD4):10C2^3	448,1376
(C₇×D₄)⋊₁₁C₂³ = D₇×2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	56	8+	(C7xD4):11C2^3	448,1379
(C₇×D₄)⋊₁₂C₂³ = D₈×C₂×C₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4):12C2^3	448,1352
(C₇×D₄)⋊₁₃C₂³ = C₁₄×C₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112		(C7xD4):13C2^3	448,1356
(C₇×D₄)⋊₁₄C₂³ = C₄○D₄×C₂×C₁₄	φ: trivial image	224		(C7xD4):14C2^3	448,1388
(C₇×D₄)⋊₁₅C₂³ = C₁₄×2₊¹⁺⁴	φ: trivial image	112		(C7xD4):15C2^3	448,1389

Non-split extensions G=N.Q with N=C₇×D₄ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₄).₁C₂³ = C₂×D₈⋊₃D₇	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	224		(C7xD4).1C2^3	448,1209
(C₇×D₄).₂C₂³ = D₈⋊₁₃D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	4	(C7xD4).2C2^3	448,1210
(C₇×D₄).₃C₂³ = C₂×D₇×SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112		(C7xD4).3C2^3	448,1211
(C₇×D₄).₄C₂³ = C₂×D₅₆⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112		(C7xD4).4C2^3	448,1212
(C₇×D₄).₅C₂³ = C₂×SD₁₆⋊D₇	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	224		(C7xD4).5C2^3	448,1213
(C₇×D₄).₆C₂³ = C₂×SD₁₆⋊₃D₇	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	224		(C7xD4).6C2^3	448,1214
(C₇×D₄).₇C₂³ = D₂₈.₂₉D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	4	(C7xD4).7C2^3	448,1215
(C₇×D₄).₈C₂³ = D₇×C₄○D₈	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	4	(C7xD4).8C2^3	448,1220
(C₇×D₄).₉C₂³ = D₈⋊₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	4	(C7xD4).9C2^3	448,1221
(C₇×D₄).₁₀C₂³ = D₈⋊₁₅D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	4+	(C7xD4).10C2^3	448,1222
(C₇×D₄).₁₁C₂³ = D₈⋊₁₁D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	4	(C7xD4).11C2^3	448,1223
(C₇×D₄).₁₂C₂³ = D₈.₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	224	4-	(C7xD4).12C2^3	448,1224
(C₇×D₄).₁₃C₂³ = SD₁₆⋊D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	8-	(C7xD4).13C2^3	448,1226
(C₇×D₄).₁₄C₂³ = D₈⋊₅D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	8+	(C7xD4).14C2^3	448,1227
(C₇×D₄).₁₅C₂³ = D₈⋊₆D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	8-	(C7xD4).15C2^3	448,1228
(C₇×D₄).₁₆C₂³ = D₇×C₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	8-	(C7xD4).16C2^3	448,1229
(C₇×D₄).₁₇C₂³ = D₅₆⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	8+	(C7xD4).17C2^3	448,1230
(C₇×D₄).₁₈C₂³ = C₅₆.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	112	8+	(C7xD4).18C2^3	448,1231
(C₇×D₄).₁₉C₂³ = D₂₈.₄₄D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₇×D₄	224	8-	(C7xD4).19C2^3	448,1232
(C₇×D₄).₂₀C₂³ = C₂×D₄.D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112		(C7xD4).20C2^3	448,1246
(C₇×D₄).₂₁C₂³ = C₂²×D₄.D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4).21C2^3	448,1247
(C₇×D₄).₂₂C₂³ = C₂×D₄.₈D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4).22C2^3	448,1274
(C₇×D₄).₂₃C₂³ = C₂₈.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	4	(C7xD4).23C2^3	448,1275
(C₇×D₄).₂₄C₂³ = C₂×D₄.₉D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4).24C2^3	448,1276
(C₇×D₄).₂₅C₂³ = D₂₈.₃₂C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	8+	(C7xD4).25C2^3	448,1288
(C₇×D₄).₂₆C₂³ = D₂₈.₃₃C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	8-	(C7xD4).26C2^3	448,1289
(C₇×D₄).₂₇C₂³ = D₂₈.₃₄C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	8+	(C7xD4).27C2^3	448,1290
(C₇×D₄).₂₈C₂³ = D₂₈.₃₅C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224	8-	(C7xD4).28C2^3	448,1291
(C₇×D₄).₂₉C₂³ = C₂×D₄.₁₀D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4).29C2^3	448,1377
(C₇×D₄).₃₀C₂³ = C₁₄.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	4	(C7xD4).30C2^3	448,1378
(C₇×D₄).₃₁C₂³ = D₁₄.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	8-	(C7xD4).31C2^3	448,1380
(C₇×D₄).₃₂C₂³ = D₇×2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	8-	(C7xD4).32C2^3	448,1381
(C₇×D₄).₃₃C₂³ = D₂₈.₃₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	8+	(C7xD4).33C2^3	448,1382
(C₇×D₄).₃₄C₂³ = SD₁₆×C₂×C₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4).34C2^3	448,1353
(C₇×D₄).₃₅C₂³ = C₁₄×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4).35C2^3	448,1355
(C₇×D₄).₃₆C₂³ = C₁₄×C₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224		(C7xD4).36C2^3	448,1357
(C₇×D₄).₃₇C₂³ = C₇×D₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	4	(C7xD4).37C2^3	448,1358
(C₇×D₄).₃₈C₂³ = C₇×D₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	4	(C7xD4).38C2^3	448,1359
(C₇×D₄).₃₉C₂³ = C₇×D₄○SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	112	4	(C7xD4).39C2^3	448,1360
(C₇×D₄).₄₀C₂³ = C₇×Q₈○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₇×D₄	224	4	(C7xD4).40C2^3	448,1361
(C₇×D₄).₄₁C₂³ = C₁₄×2_-¹⁺⁴	φ: trivial image	224		(C7xD4).41C2^3	448,1390
(C₇×D₄).₄₂C₂³ = C₇×C₂.C₂⁵	φ: trivial image	112	4	(C7xD4).42C2^3	448,1391

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Extensions 1→N→G→Q→1 with N=C7×D4 and Q=C23

Extensions 1→N→G→Q→1 with N=C₇×D₄ and Q=C₂³