Extensions 1→N→G→Q→1 with N=C₄⋊D₂₀ and Q=C₂

Direct product G=N×Q with N=C₄⋊D₂₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊D₂₀		160		C2xC4:D20	320,1178

Semidirect products G=N:Q with N=C₄⋊D₂₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₂₀⋊₁C₂ = D₄⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:1C2	320,400
C₄⋊D₂₀⋊₂C₂ = D₁₀⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:2C2	320,402
C₄⋊D₂₀⋊₃C₂ = D₄⋊₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:3C2	320,408
C₄⋊D₂₀⋊₄C₂ = C₅⋊(C₈⋊₂D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:4C2	320,409
C₄⋊D₂₀⋊₅C₂ = D₂₀⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:5C2	320,438
C₄⋊D₂₀⋊₆C₂ = C₈⋊₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:6C2	320,492
C₄⋊D₂₀⋊₇C₂ = C₈⋊₇D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:7C2	320,510
C₄⋊D₂₀⋊₈C₂ = C₁₀.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:8C2	320,1179
C₄⋊D₂₀⋊₉C₂ = C₁₀.2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:9C2	320,1182
C₄⋊D₂₀⋊₁₀C₂ = C₁₀.₁₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:10C2	320,1186
C₄⋊D₂₀⋊₁₁C₂ = C₄²⋊₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:11C2	320,1197
C₄⋊D₂₀⋊₁₂C₂ = C₄².₉₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:12C2	320,1202
C₄⋊D₂₀⋊₁₃C₂ = C₄².₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:13C2	320,1204
C₄⋊D₂₀⋊₁₄C₂ = D₄×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:14C2	320,1221
C₄⋊D₂₀⋊₁₅C₂ = D₄⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:15C2	320,1226
C₄⋊D₂₀⋊₁₆C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:16C2	320,1234
C₄⋊D₂₀⋊₁₇C₂ = Q₈⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:17C2	320,1248
C₄⋊D₂₀⋊₁₈C₂ = Q₈⋊₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:18C2	320,1249
C₄⋊D₂₀⋊₁₉C₂ = Dic₁₀⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:19C2	320,1271
C₄⋊D₂₀⋊₂₀C₂ = D₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:20C2	320,1276
C₄⋊D₂₀⋊₂₁C₂ = C₁₀.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:21C2	320,1279
C₄⋊D₂₀⋊₂₂C₂ = D₂₀⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:22C2	320,1281
C₄⋊D₂₀⋊₂₃C₂ = C₄⋊C₄⋊₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:23C2	320,1299
C₄⋊D₂₀⋊₂₄C₂ = C₁₀.₁₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:24C2	320,1301
C₄⋊D₂₀⋊₂₅C₂ = D₂₀⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:25C2	320,1302
C₄⋊D₂₀⋊₂₆C₂ = Dic₁₀⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:26C2	320,1305
C₄⋊D₂₀⋊₂₇C₂ = C₁₀.₅₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:27C2	320,1316
C₄⋊D₂₀⋊₂₈C₂ = C₁₀.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:28C2	320,1319
C₄⋊D₂₀⋊₂₉C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:29C2	320,1325
C₄⋊D₂₀⋊₃₀C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:30C2	320,1326
C₄⋊D₂₀⋊₃₁C₂ = C₁₀.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:31C2	320,1335
C₄⋊D₂₀⋊₃₂C₂ = C₁₀.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:32C2	320,1338
C₄⋊D₂₀⋊₃₃C₂ = C₄².₁₅₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:33C2	320,1367
C₄⋊D₂₀⋊₃₄C₂ = C₄².₁₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:34C2	320,1370
C₄⋊D₂₀⋊₃₅C₂ = C₄².₁₅₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:35C2	320,1372
C₄⋊D₂₀⋊₃₆C₂ = C₄²⋊₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:36C2	320,1376
C₄⋊D₂₀⋊₃₇C₂ = C₄².₁₆₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:37C2	320,1381
C₄⋊D₂₀⋊₃₈C₂ = C₄²⋊₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20:38C2	320,1383
C₄⋊D₂₀⋊₃₉C₂ = C₄².₂₄₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:39C2	320,1397
C₄⋊D₂₀⋊₄₀C₂ = D₂₀⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:40C2	320,1398
C₄⋊D₂₀⋊₄₁C₂ = C₄².₁₇₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20:41C2	320,1406
C₄⋊D₂₀⋊₄₂C₂ = C₄²⋊₈D₁₀	φ: trivial image	80	C4:D20:42C2	320,1196
C₄⋊D₂₀⋊₄₃C₂ = C₄².₂₂₈D₁₀	φ: trivial image	160	C4:D20:43C2	320,1220

Non-split extensions G=N.Q with N=C₄⋊D₂₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₂₀.₁C₂ = D₁₀.₁D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	80	C4:D20.1C2	320,206
C₄⋊D₂₀.₂C₂ = Q₈⋊₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.2C2	320,433
C₄⋊D₂₀.₃C₂ = D₁₀⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.3C2	320,434
C₄⋊D₂₀.₄C₂ = C₅⋊(C₈⋊D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.4C2	320,439
C₄⋊D₂₀.₅C₂ = D₁₀.₁₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.5C2	320,490
C₄⋊D₂₀.₆C₂ = C₈⋊₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.6C2	320,491
C₄⋊D₂₀.₇C₂ = C₄.Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.7C2	320,493
C₄⋊D₂₀.₈C₂ = D₁₀.₁₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.8C2	320,509
C₄⋊D₂₀.₉C₂ = C₂.D₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.9C2	320,512
C₄⋊D₂₀.₁₀C₂ = C₈⋊₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.10C2	320,513
C₄⋊D₂₀.₁₁C₂ = C₄².₁₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.11C2	320,1254
C₄⋊D₂₀.₁₂C₂ = C₄².₂₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.12C2	320,1363
C₄⋊D₂₀.₁₃C₂ = C₄².₁₅₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.13C2	320,1364
C₄⋊D₂₀.₁₄C₂ = C₄².₁₇₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊D₂₀	160	C4:D20.14C2	320,1405
C₄⋊D₂₀.₁₅C₂ = C₄².₁₃₁D₁₀	φ: trivial image	160	C4:D20.15C2	320,1252

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Extensions 1→N→G→Q→1 with N=C4⋊D20 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄⋊D₂₀ and Q=C₂