Extensions 1→N→G→Q→1 with N=C₂₀⋊₇D₄ and Q=C₂

Direct product G=N×Q with N=C₂₀⋊₇D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀⋊₇D₄		160		C2xC20:7D4	320,1462

Semidirect products G=N:Q with N=C₂₀⋊₇D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₀⋊₇D₄⋊₁C₂ = D₂₀⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:1C2	320,359
C₂₀⋊₇D₄⋊₂C₂ = C₄₀⋊₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:2C2	320,742
C₂₀⋊₇D₄⋊₃C₂ = C₂³⋊₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:3C2	320,1165
C₂₀⋊₇D₄⋊₄C₂ = C₂⁴.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:4C2	320,1166
C₂₀⋊₇D₄⋊₅C₂ = C₁₀.2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:5C2	320,1182
C₂₀⋊₇D₄⋊₆C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:6C2	320,1212
C₂₀⋊₇D₄⋊₇C₂ = D₄×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:7C2	320,1221
C₂₀⋊₇D₄⋊₈C₂ = Dic₁₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:8C2	320,1224
C₂₀⋊₇D₄⋊₉C₂ = D₄⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:9C2	320,1226
C₂₀⋊₇D₄⋊₁₀C₂ = D₄⋊₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:10C2	320,1227
C₂₀⋊₇D₄⋊₁₁C₂ = C₄²⋊₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:11C2	320,1232
C₂₀⋊₇D₄⋊₁₂C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:12C2	320,1234
C₂₀⋊₇D₄⋊₁₃C₂ = C₄².₁₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:13C2	320,1237
C₂₀⋊₇D₄⋊₁₄C₂ = C₁₀.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:14C2	320,1338
C₂₀⋊₇D₄⋊₁₅C₂ = C₁₀.₆₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:15C2	320,1339
C₂₀⋊₇D₄⋊₁₆C₂ = D₂₀⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:16C2	320,361
C₂₀⋊₇D₄⋊₁₇C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:17C2	320,1162
C₂₀⋊₇D₄⋊₁₈C₂ = D₂₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:18C2	320,1222
C₂₀⋊₇D₄⋊₁₉C₂ = Dic₁₀⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:19C2	320,1225
C₂₀⋊₇D₄⋊₂₀C₂ = C₄².₁₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:20C2	320,1235
C₂₀⋊₇D₄⋊₂₁C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:21C2	320,1329
C₂₀⋊₇D₄⋊₂₂C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:22C2	320,1335
C₂₀⋊₇D₄⋊₂₃C₂ = (C₂×C₁₀)⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:23C2	320,665
C₂₀⋊₇D₄⋊₂₄C₂ = C₄⋊D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:24C2	320,666
C₂₀⋊₇D₄⋊₂₅C₂ = (C₂×C₁₀)⋊₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:25C2	320,844
C₂₀⋊₇D₄⋊₂₆C₂ = (C₅×D₄)⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:26C2	320,865
C₂₀⋊₇D₄⋊₂₇C₂ = C₁₀.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:27C2	320,1179
C₂₀⋊₇D₄⋊₂₈C₂ = C₁₀.₁₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:28C2	320,1186
C₂₀⋊₇D₄⋊₂₉C₂ = C₄².₉₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:29C2	320,1202
C₂₀⋊₇D₄⋊₃₀C₂ = C₄².₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:30C2	320,1204
C₂₀⋊₇D₄⋊₃₁C₂ = C₂₀⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:31C2	320,1268
C₂₀⋊₇D₄⋊₃₂C₂ = D₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:32C2	320,1276
C₂₀⋊₇D₄⋊₃₃C₂ = C₁₀.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:33C2	320,1279
C₂₀⋊₇D₄⋊₃₄C₂ = C₁₀.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:34C2	320,1291
C₂₀⋊₇D₄⋊₃₅C₂ = C₄⋊C₄⋊₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:35C2	320,1299
C₂₀⋊₇D₄⋊₃₆C₂ = C₁₀.₁₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:36C2	320,1301
C₂₀⋊₇D₄⋊₃₇C₂ = D₄×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:37C2	320,1473
C₂₀⋊₇D₄⋊₃₈C₂ = C₁₀.₄₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:38C2	320,1489
C₂₀⋊₇D₄⋊₃₉C₂ = C₁₀.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:39C2	320,1501
C₂₀⋊₇D₄⋊₄₀C₂ = C₁₀.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:40C2	320,1506
C₂₀⋊₇D₄⋊₄₁C₂ = C₄₀⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:41C2	320,762
C₂₀⋊₇D₄⋊₄₂C₂ = C₄².₁₀₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:42C2	320,1207
C₂₀⋊₇D₄⋊₄₃C₂ = C₁₀.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:43C2	320,1269
C₂₀⋊₇D₄⋊₄₄C₂ = C₁₀.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:44C2	320,1277
C₂₀⋊₇D₄⋊₄₅C₂ = C₁₀.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:45C2	320,1292
C₂₀⋊₇D₄⋊₄₆C₂ = C₁₀.₅₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:46C2	320,1316
C₂₀⋊₇D₄⋊₄₇C₂ = C₁₀.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:47C2	320,1319
C₂₀⋊₇D₄⋊₄₈C₂ = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4:48C2	320,1502
C₂₀⋊₇D₄⋊₄₉C₂ = C₁₀.₁₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4:49C2	320,1505
C₂₀⋊₇D₄⋊₅₀C₂ = C₄².₂₇₆D₁₀	φ: trivial image	160	C20:7D4:50C2	320,1149
C₂₀⋊₇D₄⋊₅₁C₂ = C₂⁴.₇₂D₁₀	φ: trivial image	80	C20:7D4:51C2	320,1463

Non-split extensions G=N.Q with N=C₂₀⋊₇D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₀⋊₇D₄.₁C₂ = C₂².₂D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4.1C2	320,28
C₂₀⋊₇D₄.₂C₂ = C₂³.₃₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.2C2	320,362
C₂₀⋊₇D₄.₃C₂ = C₂².D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.3C2	320,363
C₂₀⋊₇D₄.₄C₂ = Dic₁₀⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.4C2	320,365
C₂₀⋊₇D₄.₅C₂ = C₄₀⋊₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.5C2	320,741
C₂₀⋊₇D₄.₆C₂ = C₁₀.₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.6C2	320,1187
C₂₀⋊₇D₄.₇C₂ = (C₂×D₂₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	80	C20:7D4.7C2	320,9
C₂₀⋊₇D₄.₈C₂ = C₂³.₁₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.8C2	320,364
C₂₀⋊₇D₄.₉C₂ = (C₂×C₁₀).₄₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.9C2	320,594
C₂₀⋊₇D₄.₁₀C₂ = C₄⋊C₄.₂₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.10C2	320,595
C₂₀⋊₇D₄.₁₁C₂ = C₄⋊C₄.₂₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.11C2	320,630
C₂₀⋊₇D₄.₁₂C₂ = C₅⋊₂C₈⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.12C2	320,675
C₂₀⋊₇D₄.₁₃C₂ = C₂²⋊Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.13C2	320,676
C₂₀⋊₇D₄.₁₄C₂ = (C₅×Q₈)⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.14C2	320,854
C₂₀⋊₇D₄.₁₅C₂ = C₂²⋊Q₈⋊₂₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.15C2	320,1296
C₂₀⋊₇D₄.₁₆C₂ = C₁₀.₂₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.16C2	320,1315
C₂₀⋊₇D₄.₁₇C₂ = C₄₀⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.17C2	320,761
C₂₀⋊₇D₄.₁₈C₂ = C₄².₉₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.18C2	320,1206
C₂₀⋊₇D₄.₁₉C₂ = C₁₀.₅₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₇D₄	160	C20:7D4.19C2	320,1317
C₂₀⋊₇D₄.₂₀C₂ = C₄².₂₇₇D₁₀	φ: trivial image	160	C20:7D4.20C2	320,1151

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Extensions 1→N→G→Q→1 with N=C20⋊7D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₀⋊₇D₄ and Q=C₂