Extensions 1→N→G→Q→1 with N=C₂₀⋊₂Q₈ and Q=C₂

Direct product G=N×Q with N=C₂₀⋊₂Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀⋊₂Q₈		320		C2xC20:2Q8	320,1140

Semidirect products G=N:Q with N=C₂₀⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀⋊₂Q₈⋊₁C₂ = C₈⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:1C2	320,320
C₂₀⋊₂Q₈⋊₂C₂ = C₄.₅D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:2C2	320,321
C₂₀⋊₂Q₈⋊₃C₂ = C₄².₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:3C2	320,341
C₂₀⋊₂Q₈⋊₄C₂ = C₈.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:4C2	320,342
C₂₀⋊₂Q₈⋊₅C₂ = C₄².₈₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:5C2	320,1190
C₂₀⋊₂Q₈⋊₆C₂ = C₄².₉₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:6C2	320,1191
C₂₀⋊₂Q₈⋊₇C₂ = C₄².₉₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:7C2	320,1198
C₂₀⋊₂Q₈⋊₈C₂ = C₄².₉₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:8C2	320,1206
C₂₀⋊₂Q₈⋊₉C₂ = C₄².₁₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:9C2	320,1384
C₂₀⋊₂Q₈⋊₁₀C₂ = D₄.₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	80	4-	C20:2Q8:10C2	320,453
C₂₀⋊₂Q₈⋊₁₁C₂ = C₂₀⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:11C2	320,468
C₂₀⋊₂Q₈⋊₁₂C₂ = D₂₀⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:12C2	320,469
C₂₀⋊₂Q₈⋊₁₃C₂ = D₂₀⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:13C2	320,473
C₂₀⋊₂Q₈⋊₁₄C₂ = C₂₀.₅₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:14C2	320,634
C₂₀⋊₂Q₈⋊₁₅C₂ = C₂₀.₃₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:15C2	320,635
C₂₀⋊₂Q₈⋊₁₆C₂ = D₄.₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:16C2	320,646
C₂₀⋊₂Q₈⋊₁₇C₂ = C₄².₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:17C2	320,682
C₂₀⋊₂Q₈⋊₁₈C₂ = C₄².₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:18C2	320,687
C₂₀⋊₂Q₈⋊₁₉C₂ = C₂₀.₁₆D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:19C2	320,697
C₂₀⋊₂Q₈⋊₂₀C₂ = C₂₀⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:20C2	320,703
C₂₀⋊₂Q₈⋊₂₁C₂ = D₄×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:21C2	320,1209
C₂₀⋊₂Q₈⋊₂₂C₂ = C₄².₁₀₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:22C2	320,1214
C₂₀⋊₂Q₈⋊₂₃C₂ = D₄⋊₆Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:23C2	320,1215
C₂₀⋊₂Q₈⋊₂₄C₂ = D₂₀⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:24C2	320,1223
C₂₀⋊₂Q₈⋊₂₅C₂ = D₄⋊₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:25C2	320,1227
C₂₀⋊₂Q₈⋊₂₆C₂ = C₄².₁₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:26C2	320,1235
C₂₀⋊₂Q₈⋊₂₇C₂ = Q₈×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:27C2	320,1247
C₂₀⋊₂Q₈⋊₂₈C₂ = D₂₀⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:28C2	320,1251
C₂₀⋊₂Q₈⋊₂₉C₂ = C₄².₁₃₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:29C2	320,1256
C₂₀⋊₂Q₈⋊₃₀C₂ = C₄².₁₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:30C2	320,1347
C₂₀⋊₂Q₈⋊₃₁C₂ = C₄².₁₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:31C2	320,1354
C₂₀⋊₂Q₈⋊₃₂C₂ = C₄².₁₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:32C2	320,1361
C₂₀⋊₂Q₈⋊₃₃C₂ = C₄².₁₅₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:33C2	320,1369
C₂₀⋊₂Q₈⋊₃₄C₂ = C₄².₂₃₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:34C2	320,1388
C₂₀⋊₂Q₈⋊₃₅C₂ = D₅×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:35C2	320,1395
C₂₀⋊₂Q₈⋊₃₆C₂ = C₄².₂₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	160		C20:2Q8:36C2	320,1400
C₂₀⋊₂Q₈⋊₃₇C₂ = C₄².₂₇₄D₁₀	φ: trivial image	160		C20:2Q8:37C2	320,1142
C₂₀⋊₂Q₈⋊₃₈C₂ = C₄².₂₇₆D₁₀	φ: trivial image	160		C20:2Q8:38C2	320,1149

Non-split extensions G=N.Q with N=C₂₀⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀⋊₂Q₈.₁C₂ = C₄².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	80	4-	C20:2Q8.1C2	320,193
C₂₀⋊₂Q₈.₂C₂ = C₄₀⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.2C2	320,307
C₂₀⋊₂Q₈.₃C₂ = C₂₀.₁₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.3C2	320,308
C₂₀⋊₂Q₈.₄C₂ = C₄₀⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.4C2	320,309
C₂₀⋊₂Q₈.₅C₂ = C₂₀⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.5C2	320,326
C₂₀⋊₂Q₈.₆C₂ = C₈⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.6C2	320,329
C₂₀⋊₂Q₈.₇C₂ = C₄².₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.7C2	320,330
C₂₀⋊₂Q₈.₈C₂ = C₄.Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.8C2	320,39
C₂₀⋊₂Q₈.₉C₂ = C₂₀.₄₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.9C2	320,40
C₂₀⋊₂Q₈.₁₀C₂ = C₂₀.₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.10C2	320,44
C₂₀⋊₂Q₈.₁₁C₂ = C₄⋊Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.11C2	320,476
C₂₀⋊₂Q₈.₁₂C₂ = C₂₀.₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.12C2	320,477
C₂₀⋊₂Q₈.₁₃C₂ = Dic₁₀⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.13C2	320,478
C₂₀⋊₂Q₈.₁₄C₂ = C₂₀.₄₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.14C2	320,647
C₂₀⋊₂Q₈.₁₅C₂ = C₂₀.₂₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.15C2	320,648
C₂₀⋊₂Q₈.₁₆C₂ = C₂₀⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.16C2	320,658
C₂₀⋊₂Q₈.₁₇C₂ = C₄².₆₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.17C2	320,692
C₂₀⋊₂Q₈.₁₈C₂ = C₄².₇₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.18C2	320,696
C₂₀⋊₂Q₈.₁₉C₂ = C₂₀.₁₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.19C2	320,705
C₂₀⋊₂Q₈.₂₀C₂ = C₂₀.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.20C2	320,706
C₂₀⋊₂Q₈.₂₁C₂ = C₂₀.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.21C2	320,708
C₂₀⋊₂Q₈.₂₂C₂ = C₂₀⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.22C2	320,719
C₂₀⋊₂Q₈.₂₃C₂ = C₂₀.₁₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.23C2	320,720
C₂₀⋊₂Q₈.₂₄C₂ = Q₈×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.24C2	320,1238
C₂₀⋊₂Q₈.₂₅C₂ = Dic₁₀⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.25C2	320,1239
C₂₀⋊₂Q₈.₂₆C₂ = Q₈⋊₆Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₂Q₈	320		C20:2Q8.26C2	320,1242

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Extensions 1→N→G→Q→1 with N=C20⋊2Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₀⋊₂Q₈ and Q=C₂