Extensions 1→N→G→Q→1 with N=C₂²⋊Q₈ and Q=D₅

Direct product G=N×Q with N=C₂²⋊Q₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₂²⋊Q₈		80		D5xC2^2:Q8	320,1298

Semidirect products G=N:Q with N=C₂²⋊Q₈ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₈⋊₁D₅ = D₂₀.₃₆D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:1D5	320,673
C₂²⋊Q₈⋊₂D₅ = D₂₀.₃₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:2D5	320,674
C₂²⋊Q₈⋊₃D₅ = C₅⋊₂C₈⋊₂₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:3D5	320,675
C₂²⋊Q₈⋊₄D₅ = C₂²⋊Q₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:4D5	320,676
C₂²⋊Q₈⋊₅D₅ = C₁₀.₁₆2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:5D5	320,1300
C₂²⋊Q₈⋊₆D₅ = C₁₀.₁₇2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:6D5	320,1301
C₂²⋊Q₈⋊₇D₅ = D₂₀⋊₂₁D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:7D5	320,1302
C₂²⋊Q₈⋊₈D₅ = D₂₀⋊₂₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:8D5	320,1303
C₂²⋊Q₈⋊₉D₅ = Dic₁₀⋊₂₁D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:9D5	320,1304
C₂²⋊Q₈⋊₁₀D₅ = Dic₁₀⋊₂₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:10D5	320,1305
C₂²⋊Q₈⋊₁₁D₅ = C₁₀.₅₁2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:11D5	320,1306
C₂²⋊Q₈⋊₁₂D₅ = C₁₀.₁₁₈2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:12D5	320,1307
C₂²⋊Q₈⋊₁₃D₅ = C₁₀.₅₂2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:13D5	320,1308
C₂²⋊Q₈⋊₁₄D₅ = C₁₀.₅₃2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:14D5	320,1309
C₂²⋊Q₈⋊₁₅D₅ = C₁₀.₂₀2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:15D5	320,1310
C₂²⋊Q₈⋊₁₆D₅ = C₁₀.₂₁2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:16D5	320,1311
C₂²⋊Q₈⋊₁₇D₅ = C₁₀.₂₂2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:17D5	320,1312
C₂²⋊Q₈⋊₁₈D₅ = C₁₀.₂₃2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:18D5	320,1313
C₂²⋊Q₈⋊₁₉D₅ = C₁₀.₇₇2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:19D5	320,1314
C₂²⋊Q₈⋊₂₀D₅ = C₁₀.₂₄2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:20D5	320,1315
C₂²⋊Q₈⋊₂₁D₅ = C₁₀.₅₆2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:21D5	320,1316
C₂²⋊Q₈⋊₂₂D₅ = C₁₀.₅₇2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:22D5	320,1317
C₂²⋊Q₈⋊₂₃D₅ = C₁₀.₅₈2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:23D5	320,1318
C₂²⋊Q₈⋊₂₄D₅ = C₁₀.₂₆2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:24D5	320,1319
C₂²⋊Q₈⋊₂₅D₅ = C₂²⋊Q₈⋊₂₅D₅	φ: trivial image	160	C2^2:Q8:25D5	320,1296
C₂²⋊Q₈⋊₂₆D₅ = C₄⋊C₄⋊₂₆D₁₀	φ: trivial image	80	C2^2:Q8:26D5	320,1299

Non-split extensions G=N.Q with N=C₂²⋊Q₈ and Q=D₅

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Q₈.₁D₅ = C₁₀.₂₉C₄≀C₂	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8.1D5	320,96
C₂²⋊Q₈.₂D₅ = C₂²⋊Q₈.D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.2D5	320,670
C₂²⋊Q₈.₃D₅ = (C₂×C₁₀).Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.3D5	320,671
C₂²⋊Q₈.₄D₅ = C₁₀.(C₄○D₈)	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.4D5	320,672
C₂²⋊Q₈.₅D₅ = Dic₁₀.₃₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.5D5	320,677
C₂²⋊Q₈.₆D₅ = (C₂×C₁₀)⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.6D5	320,678
C₂²⋊Q₈.₇D₅ = C₅⋊(C₈.D₄)	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.7D5	320,679
C₂²⋊Q₈.₈D₅ = C₁₀.₅₀2₊¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.8D5	320,1295
C₂²⋊Q₈.₉D₅ = C₁₀.₁₅2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.9D5	320,1297
C₂²⋊Q₈.₁₀D₅ = (Q₈×Dic₅)⋊C₂	φ: trivial image	160	C2^2:Q8.10D5	320,1294

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Extensions 1→N→G→Q→1 with N=C22⋊Q8 and Q=D5

Extensions 1→N→G→Q→1 with N=C₂²⋊Q₈ and Q=D₅