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

Direct product G=N×Q with N=C₄ and Q=D₅⋊C₈

		d	ρ	Label	ID
C₄×D₅⋊C₈		160		C4xD5:C8	320,1013

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(D₅⋊C₈) = D₂₀⋊₂C₈	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₄	160		C4:1(D5:C8)	320,1040
C₄⋊₂(D₅⋊C₈) = C₄².₁₁F₅	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₄	160		C4:2(D5:C8)	320,1017

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(D₅⋊C₈) = D₂₀⋊C₈	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₄	160		C4.1(D5:C8)	320,209
C₄.₂(D₅⋊C₈) = Dic₁₀⋊₁C₈	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₄	320		C4.2(D5:C8)	320,210
C₄.₃(D₅⋊C₈) = D₂₀.C₈	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₄	160	8	C4.3(D5:C8)	320,236
C₄.₄(D₅⋊C₈) = Dic₁₀⋊C₈	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₄	320		C4.4(D5:C8)	320,1041
C₄.₅(D₅⋊C₈) = Dic₁₀.C₈	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₄	160	8	C4.5(D5:C8)	320,1063
C₄.₆(D₅⋊C₈) = C₄².₉F₅	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₄	80	4	C4.6(D5:C8)	320,199
C₄.₇(D₅⋊C₈) = C₂₀.₂₆M₄(2)	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₄	320		C4.7(D5:C8)	320,221
C₄.₈(D₅⋊C₈) = Dic₅.₁₃D₈	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₄	320		C4.8(D5:C8)	320,222
C₄.₉(D₅⋊C₈) = C₄².₁₂F₅	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₄	160		C4.9(D5:C8)	320,1018
C₄.₁₀(D₅⋊C₈) = D₅⋊M₅(2)	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₄	80	4	C4.10(D5:C8)	320,1053
C₄.₁₁(D₅⋊C₈) = D₅⋊C₃₂	central extension (φ=1)	160	4	C4.11(D5:C8)	320,179
C₄.₁₂(D₅⋊C₈) = C₈₀.C₄	central extension (φ=1)	160	4	C4.12(D5:C8)	320,180
C₄.₁₃(D₅⋊C₈) = C₄×C₅⋊C₁₆	central extension (φ=1)	320		C4.13(D5:C8)	320,195
C₄.₁₄(D₅⋊C₈) = C₄².₄F₅	central extension (φ=1)	320		C4.14(D5:C8)	320,197
C₄.₁₅(D₅⋊C₈) = C₈×C₅⋊C₈	central extension (φ=1)	320		C4.15(D5:C8)	320,216
C₄.₁₆(D₅⋊C₈) = C₄₀⋊C₈	central extension (φ=1)	320		C4.16(D5:C8)	320,217
C₄.₁₇(D₅⋊C₈) = C₄².₆F₅	central extension (φ=1)	160		C4.17(D5:C8)	320,1016
C₄.₁₈(D₅⋊C₈) = C₂×D₅⋊C₁₆	central extension (φ=1)	160		C4.18(D5:C8)	320,1051
C₄.₁₉(D₅⋊C₈) = C₂×C₈.F₅	central extension (φ=1)	160		C4.19(D5:C8)	320,1052

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