Extensions 1→N→G→Q→1 with N=C₂₀⋊₄D₄ and Q=C₂

Direct product G=N×Q with N=C₂₀⋊₄D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀⋊₄D₄		160		C2xC20:4D4	320,1147

Semidirect products G=N:Q with N=C₂₀⋊₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀⋊₄D₄⋊₁C₂ = C₂₀⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:1C2	320,322
C₂₀⋊₄D₄⋊₂C₂ = C₈⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:2C2	320,339
C₂₀⋊₄D₄⋊₃C₂ = C₄²⋊₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	80		C20:4D4:3C2	320,1197
C₂₀⋊₄D₄⋊₄C₂ = C₄².₁₀₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:4C2	320,1207
C₂₀⋊₄D₄⋊₅C₂ = C₄²⋊₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	80		C20:4D4:5C2	320,1383
C₂₀⋊₄D₄⋊₆C₂ = D₄⋊₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	40	4+	C20:4D4:6C2	320,449
C₂₀⋊₄D₄⋊₇C₂ = C₄⋊D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:7C2	320,470
C₂₀⋊₄D₄⋊₈C₂ = C₂₀⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:8C2	320,642
C₂₀⋊₄D₄⋊₉C₂ = C₄².₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:9C2	320,685
C₂₀⋊₄D₄⋊₁₀C₂ = C₂₀⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:10C2	320,700
C₂₀⋊₄D₄⋊₁₁C₂ = D₄×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	80		C20:4D4:11C2	320,1221
C₂₀⋊₄D₄⋊₁₂C₂ = Dic₁₀⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:12C2	320,1225
C₂₀⋊₄D₄⋊₁₃C₂ = Q₈⋊₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:13C2	320,1249
C₂₀⋊₄D₄⋊₁₄C₂ = C₄²⋊₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	80		C20:4D4:14C2	320,1346
C₂₀⋊₄D₄⋊₁₅C₂ = C₄².₁₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:15C2	320,1370
C₂₀⋊₄D₄⋊₁₆C₂ = D₅×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	80		C20:4D4:16C2	320,1386
C₂₀⋊₄D₄⋊₁₇C₂ = C₄².₂₄₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4:17C2	320,1397
C₂₀⋊₄D₄⋊₁₈C₂ = C₄².₂₇₆D₁₀	φ: trivial image	160		C20:4D4:18C2	320,1149

Non-split extensions G=N.Q with N=C₂₀⋊₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀⋊₄D₄.₁C₂ = C₄²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	40	4+	C20:4D4.1C2	320,191
C₂₀⋊₄D₄.₂C₂ = C₈⋊₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.2C2	320,320
C₂₀⋊₄D₄.₃C₂ = C₄.₅D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.3C2	320,321
C₂₀⋊₄D₄.₄C₂ = C₄².₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.4C2	320,340
C₂₀⋊₄D₄.₅C₂ = C₄.D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.5C2	320,43
C₂₀⋊₄D₄.₆C₂ = Dic₁₀⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.6C2	320,475
C₂₀⋊₄D₄.₇C₂ = Q₈⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.7C2	320,654
C₂₀⋊₄D₄.₈C₂ = C₄².₇₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.8C2	320,694
C₂₀⋊₄D₄.₉C₂ = C₂₀⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.9C2	320,712
C₂₀⋊₄D₄.₁₀C₂ = C₂₀.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.10C2	320,715
C₂₀⋊₄D₄.₁₁C₂ = C₄².₁₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊₄D₄	160		C20:4D4.11C2	320,1257

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