Extensions 1→N→G→Q→1 with N=D₅⋊C₈ and Q=C₂²

Direct product G=N×Q with N=D₅⋊C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₅⋊C₈		160		C2^2xD5:C8	320,1587

Semidirect products G=N:Q with N=D₅⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₈⋊₁C₂² = (D₄×C₁₀)⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	40	8+	D5:C8:1C2^2	320,1105
D₅⋊C₈⋊₂C₂² = Dic₅.C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	80	8-	D5:C8:2C2^2	320,1594
D₅⋊C₈⋊₃C₂² = Dic₅.₂₀C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	80	8+	D5:C8:3C2^2	320,1598
D₅⋊C₈⋊₄C₂² = Dic₅.₂₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	80	8	D5:C8:4C2^2	320,1602
D₅⋊C₈⋊₅C₂² = C₂×D₂₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80		D5:C8:5C2^2	320,1104
D₅⋊C₈⋊₆C₂² = C₂×D₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	160		D5:C8:6C2^2	320,1593
D₅⋊C₈⋊₇C₂² = C₂×Q₈.F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	160		D5:C8:7C2^2	320,1597
D₅⋊C₈⋊₈C₂² = Dic₅.₂₁C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80	8	D5:C8:8C2^2	320,1601
D₅⋊C₈⋊₉C₂² = C₂×D₅⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80		D5:C8:9C2^2	320,1589

Non-split extensions G=N.Q with N=D₅⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₈.₁C₂² = D₄₀⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	40	8+	D5:C8.1C2^2	320,1069
D₅⋊C₈.₂C₂² = D₈⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	80	8-	D5:C8.2C2^2	320,1071
D₅⋊C₈.₃C₂² = SD₁₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	40	8	D5:C8.3C2^2	320,1073
D₅⋊C₈.₄C₂² = SD₁₆⋊₂F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	80	8	D5:C8.4C2^2	320,1075
D₅⋊C₈.₅C₂² = Dic₂₀⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	80	8-	D5:C8.5C2^2	320,1077
D₅⋊C₈.₆C₂² = Q₁₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	80	8+	D5:C8.6C2^2	320,1079
D₅⋊C₈.₇C₂² = (C₂×Q₈)⋊₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	80	8-	D5:C8.7C2^2	320,1120
D₅⋊C₈.₈C₂² = C₄○D₄⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₅⋊C₈	40	8	D5:C8.8C2^2	320,1131
D₅⋊C₈.₉C₂² = D₈×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	40	8+	D5:C8.9C2^2	320,1068
D₅⋊C₈.₁₀C₂² = D₈⋊₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80	8-	D5:C8.10C2^2	320,1070
D₅⋊C₈.₁₁C₂² = SD₁₆×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	40	8	D5:C8.11C2^2	320,1072
D₅⋊C₈.₁₂C₂² = SD₁₆⋊₃F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80	8	D5:C8.12C2^2	320,1074
D₅⋊C₈.₁₃C₂² = Q₁₆×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80	8-	D5:C8.13C2^2	320,1076
D₅⋊C₈.₁₄C₂² = Q₁₆⋊₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80	8+	D5:C8.14C2^2	320,1078
D₅⋊C₈.₁₅C₂² = C₂×Q₈⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80		D5:C8.15C2^2	320,1119
D₅⋊C₈.₁₆C₂² = C₄○D₂₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80	8	D5:C8.16C2^2	320,1132
D₅⋊C₈.₁₇C₂² = C₂×C₈⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80		D5:C8.17C2^2	320,1055
D₅⋊C₈.₁₈C₂² = C₂₀.₁₂C₄²	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80	4	D5:C8.18C2^2	320,1056
D₅⋊C₈.₁₉C₂² = M₄(2)×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	40	8	D5:C8.19C2^2	320,1064
D₅⋊C₈.₂₀C₂² = M₄(2)⋊₅F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₅⋊C₈	80	8	D5:C8.20C2^2	320,1066
D₅⋊C₈.₂₁C₂² = C₂×C₈×F₅	φ: trivial image	80		D5:C8.21C2^2	320,1054

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Extensions 1→N→G→Q→1 with N=D5⋊C8 and Q=C22

Extensions 1→N→G→Q→1 with N=D₅⋊C₈ and Q=C₂²