Extensions 1→N→G→Q→1 with N=C₄×D₇ and Q=C₂³

Direct product G=N×Q with N=C₄×D₇ and Q=C₂³

		d	ρ	Label	ID
D₇×C₂³×C₄		224		D7xC2^3xC4	448,1366

Semidirect products G=N:Q with N=C₄×D₇ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇)⋊₁C₂³ = C₂×D₄⋊₆D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112		(C4xD7):1C2^3	448,1371
(C₄×D₇)⋊₂C₂³ = C₂×D₄⋊₈D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112		(C4xD7):2C2^3	448,1376
(C₄×D₇)⋊₃C₂³ = D₇×2₊¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	56	8+	(C4xD7):3C2^3	448,1379
(C₄×D₇)⋊₄C₂³ = C₂²×D₄×D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112		(C4xD7):4C2^3	448,1369
(C₄×D₇)⋊₅C₂³ = C₂²×D₄⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7):5C2^3	448,1370
(C₄×D₇)⋊₆C₂³ = C₂²×Q₈⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7):6C2^3	448,1373
(C₄×D₇)⋊₇C₂³ = C₂×D₇×C₄○D₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112		(C4xD7):7C2^3	448,1375
(C₄×D₇)⋊₈C₂³ = C₂²×C₄○D₂₈	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7):8C2^3	448,1368

Non-split extensions G=N.Q with N=C₄×D₇ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁C₂³ = C₂×D₈⋊D₇	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112		(C4xD7).1C2^3	448,1208
(C₄×D₇).₂C₂³ = D₈⋊₁₃D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).2C2^3	448,1210
(C₄×D₇).₃C₂³ = C₂×D₅₆⋊C₂	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112		(C4xD7).3C2^3	448,1212
(C₄×D₇).₄C₂³ = C₂×SD₁₆⋊D₇	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).4C2^3	448,1213
(C₄×D₇).₅C₂³ = D₂₈.₂₉D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).5C2^3	448,1215
(C₄×D₇).₆C₂³ = C₂×Q₁₆⋊D₇	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).6C2^3	448,1217
(C₄×D₇).₇C₂³ = D₂₈.₃₀D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	224	4	(C4xD7).7C2^3	448,1219
(C₄×D₇).₈C₂³ = D₈⋊₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).8C2^3	448,1221
(C₄×D₇).₉C₂³ = D₈⋊₁₅D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	4+	(C4xD7).9C2^3	448,1222
(C₄×D₇).₁₀C₂³ = D₈⋊₁₁D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	4	(C4xD7).10C2^3	448,1223
(C₄×D₇).₁₁C₂³ = D₈.₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	224	4-	(C4xD7).11C2^3	448,1224
(C₄×D₇).₁₂C₂³ = D₇×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	56	8+	(C4xD7).12C2^3	448,1225
(C₄×D₇).₁₃C₂³ = D₈⋊₅D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	8+	(C4xD7).13C2^3	448,1227
(C₄×D₇).₁₄C₂³ = D₈⋊₆D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	8-	(C4xD7).14C2^3	448,1228
(C₄×D₇).₁₅C₂³ = D₇×C₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	8-	(C4xD7).15C2^3	448,1229
(C₄×D₇).₁₆C₂³ = C₅₆.C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	8+	(C4xD7).16C2^3	448,1231
(C₄×D₇).₁₇C₂³ = D₂₈.₄₄D₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	224	8-	(C4xD7).17C2^3	448,1232
(C₄×D₇).₁₈C₂³ = C₂×Q₈.₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).18C2^3	448,1374
(C₄×D₇).₁₉C₂³ = C₂×D₄.₁₀D₁₄	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	224		(C4xD7).19C2^3	448,1377
(C₄×D₇).₂₀C₂³ = D₁₄.C₂⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	8-	(C4xD7).20C2^3	448,1380
(C₄×D₇).₂₁C₂³ = D₇×2_-¹⁺⁴	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	8-	(C4xD7).21C2^3	448,1381
(C₄×D₇).₂₂C₂³ = D₂₈.₃₉C₂³	φ: C₂³/C₂ → C₂² ⊆ Out C₄×D₇	112	8+	(C4xD7).22C2^3	448,1382
(C₄×D₇).₂₃C₂³ = C₂×D₇×D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112		(C4xD7).23C2^3	448,1207
(C₄×D₇).₂₄C₂³ = C₂×D₈⋊₃D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).24C2^3	448,1209
(C₄×D₇).₂₅C₂³ = C₂×D₇×SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112		(C4xD7).25C2^3	448,1211
(C₄×D₇).₂₆C₂³ = C₂×SD₁₆⋊₃D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).26C2^3	448,1214
(C₄×D₇).₂₇C₂³ = C₂×D₇×Q₁₆	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).27C2^3	448,1216
(C₄×D₇).₂₈C₂³ = C₂×Q₈.D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).28C2^3	448,1218
(C₄×D₇).₂₉C₂³ = D₇×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).29C2^3	448,1220
(C₄×D₇).₃₀C₂³ = SD₁₆⋊D₁₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112	8-	(C4xD7).30C2^3	448,1226
(C₄×D₇).₃₁C₂³ = D₅₆⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112	8+	(C4xD7).31C2^3	448,1230
(C₄×D₇).₃₂C₂³ = C₂²×Q₈×D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).32C2^3	448,1372
(C₄×D₇).₃₃C₂³ = C₂²×C₈⋊D₇	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).33C2^3	448,1190
(C₄×D₇).₃₄C₂³ = C₂×D₂₈.₂C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).34C2^3	448,1191
(C₄×D₇).₃₅C₂³ = C₂×D₂₈.C₄	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	224		(C4xD7).35C2^3	448,1197
(C₄×D₇).₃₆C₂³ = C₂₈.₇₀C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).36C2^3	448,1198
(C₄×D₇).₃₇C₂³ = C₅₆.₄₉C₂³	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).37C2^3	448,1203
(C₄×D₇).₃₈C₂³ = C₁₄.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out C₄×D₇	112	4	(C4xD7).38C2^3	448,1378
(C₄×D₇).₃₉C₂³ = D₇×C₂²×C₈	φ: trivial image	224		(C4xD7).39C2^3	448,1189
(C₄×D₇).₄₀C₂³ = C₂×D₇×M₄(2)	φ: trivial image	112		(C4xD7).40C2^3	448,1196
(C₄×D₇).₄₁C₂³ = D₇×C₈○D₄	φ: trivial image	112	4	(C4xD7).41C2^3	448,1202

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Extensions 1→N→G→Q→1 with N=C4×D7 and Q=C23

Extensions 1→N→G→Q→1 with N=C₄×D₇ and Q=C₂³