Extensions 1→N→G→Q→1 with N=C₄⋊D₄ and Q=D₅

Direct product G=N×Q with N=C₄⋊D₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₄⋊D₄		80		D5xC4:D4	320,1276

Semidirect products G=N:Q with N=C₄⋊D₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₄⋊₁D₅ = D₂₀⋊₁₆D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:1D5	320,663
C₄⋊D₄⋊₂D₅ = D₂₀⋊₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:2D5	320,664
C₄⋊D₄⋊₃D₅ = (C₂×C₁₀)⋊D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:3D5	320,665
C₄⋊D₄⋊₄D₅ = C₄⋊D₄⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:4D5	320,666
C₄⋊D₄⋊₅D₅ = C₁₀.₆₈2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:5D5	320,1269
C₄⋊D₄⋊₆D₅ = Dic₁₀⋊₁₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:6D5	320,1270
C₄⋊D₄⋊₇D₅ = Dic₁₀⋊₂₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:7D5	320,1271
C₄⋊D₄⋊₈D₅ = C₁₀.₃₄2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:8D5	320,1273
C₄⋊D₄⋊₉D₅ = C₁₀.₃₇2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:9D5	320,1277
C₄⋊D₄⋊₁₀D₅ = C₁₀.₃₈2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:10D5	320,1279
C₄⋊D₄⋊₁₁D₅ = C₁₀.₃₉2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:11D5	320,1280
C₄⋊D₄⋊₁₂D₅ = D₂₀⋊₁₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:12D5	320,1281
C₄⋊D₄⋊₁₃D₅ = C₁₀.₄₀2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:13D5	320,1282
C₄⋊D₄⋊₁₄D₅ = C₁₀.₇₃2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:14D5	320,1283
C₄⋊D₄⋊₁₅D₅ = D₂₀⋊₂₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:15D5	320,1284
C₄⋊D₄⋊₁₆D₅ = C₁₀.₄₂2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:16D5	320,1285
C₄⋊D₄⋊₁₇D₅ = C₁₀.₄₃2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:17D5	320,1286
C₄⋊D₄⋊₁₈D₅ = C₁₀.₄₄2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:18D5	320,1287
C₄⋊D₄⋊₁₉D₅ = C₁₀.₄₅2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:19D5	320,1288
C₄⋊D₄⋊₂₀D₅ = C₁₀.₄₆2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:20D5	320,1289
C₄⋊D₄⋊₂₁D₅ = C₁₀.₁₁₅2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:21D5	320,1290
C₄⋊D₄⋊₂₂D₅ = C₁₀.₄₇2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:22D5	320,1291
C₄⋊D₄⋊₂₃D₅ = C₁₀.₄₈2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4:23D5	320,1292
C₄⋊D₄⋊₂₄D₅ = C₁₀.₇₄2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4:24D5	320,1293
C₄⋊D₄⋊₂₅D₅ = C₂₀⋊(C₄○D₄)	φ: trivial image	160	C4:D4:25D5	320,1268
C₄⋊D₄⋊₂₆D₅ = C₄⋊C₄⋊₂₁D₁₀	φ: trivial image	80	C4:D4:26D5	320,1278

Non-split extensions G=N.Q with N=C₄⋊D₄ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
C₄⋊D₄.₁D₅ = C₄⋊C₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	80	C4:D4.1D5	320,95
C₄⋊D₄.₂D₅ = (C₂×C₁₀).D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4.2D5	320,660
C₄⋊D₄.₃D₅ = C₄⋊D₄.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4.3D5	320,661
C₄⋊D₄.₄D₅ = (C₂×D₄).D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4.4D5	320,662
C₄⋊D₄.₅D₅ = Dic₁₀⋊₁₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4.5D5	320,667
C₄⋊D₄.₆D₅ = C₅⋊₂C₈⋊₂₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4.6D5	320,668
C₄⋊D₄.₇D₅ = C₄.(D₄×D₅)	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4.7D5	320,669
C₄⋊D₄.₈D₅ = C₁₀.₃₅2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4.8D5	320,1274
C₄⋊D₄.₉D₅ = C₁₀.₃₆2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊D₄	160	C4:D4.9D5	320,1275
C₄⋊D₄.₁₀D₅ = C₄⋊C₄.₁₇₈D₁₀	φ: trivial image	160	C4:D4.10D5	320,1272

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Extensions 1→N→G→Q→1 with N=C4⋊D4 and Q=D5

Extensions 1→N→G→Q→1 with N=C₄⋊D₄ and Q=D₅