Extensions 1→N→G→Q→1 with N=C₈:D₅ and Q=C₄

Direct product G=NxQ with N=C₈:D₅ and Q=C₄

		d	ρ	Label	ID
C₄xC₈:D₅		160		C4xC8:D5	320,314

Semidirect products G=N:Q with N=C₈:D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:D₅:₁C₄ = M₄(2):₁F₅	φ: C₄/C₁ → C₄ ⊆ Out C₈:D₅	40	8	C8:D5:1C4	320,1065
C₈:D₅:₂C₄ = M₄(2)xF₅	φ: C₄/C₁ → C₄ ⊆ Out C₈:D₅	40	8	C8:D5:2C4	320,1064
C₈:D₅:₃C₄ = M₄(2):₅F₅	φ: C₄/C₁ → C₄ ⊆ Out C₈:D₅	80	8	C8:D5:3C4	320,1066
C₈:D₅:₄C₄ = C₈:(C₄xD₅)	φ: C₄/C₂ → C₂ ⊆ Out C₈:D₅	160		C8:D5:4C4	320,488
C₈:D₅:₅C₄ = C₄₀:₂₀(C₂xC₄)	φ: C₄/C₂ → C₂ ⊆ Out C₈:D₅	160		C8:D5:5C4	320,508
C₈:D₅:₆C₄ = D₁₀.₆C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈:D₅	160		C8:D5:6C4	320,334
C₈:D₅:₇C₄ = D₁₀.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈:D₅	160		C8:D5:7C4	320,335
C₈:D₅:₈C₄ = D₁₀.₅C₄²	φ: trivial image	160		C8:D5:8C4	320,316

Non-split extensions G=N.Q with N=C₈:D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:D₅.₁C₄ = M₄(2).₁F₅	φ: C₄/C₁ → C₄ ⊆ Out C₈:D₅	80	8	C8:D5.1C4	320,1067
C₈:D₅.₂C₄ = Dic₁₀.C₈	φ: C₄/C₁ → C₄ ⊆ Out C₈:D₅	160	8	C8:D5.2C4	320,1063
C₈:D₅.₃C₄ = M₄(2).₂₅D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₈:D₅	80	4	C8:D5.3C4	320,520
C₈:D₅.₄C₄ = D₂₀.₅C₈	φ: C₄/C₂ → C₂ ⊆ Out C₈:D₅	160	4	C8:D5.4C4	320,534
C₈:D₅.₅C₄ = D₂₀.₆C₈	φ: trivial image	160	2	C8:D5.5C4	320,528

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