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

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

		d	ρ	Label	ID
C₄×C₈⋊D₅		160		C4xC8:D5	320,314

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₈⋊D₅) = C₂₀⋊₆M₄(2)	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160		C4:1(C8:D5)	320,465
C₄⋊₂(C₈⋊D₅) = C₈⋊₆D₂₀	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₄	160		C4:2(C8:D5)	320,315
C₄⋊₃(C₈⋊D₅) = C₂₀⋊₅M₄(2)	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160		C4:3(C8:D5)	320,464

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₈⋊D₅) = D₂₀⋊₄C₈	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	160		C4.1(C8:D5)	320,41
C₄.₂(C₈⋊D₅) = Dic₁₀⋊₄C₈	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	320		C4.2(C8:D5)	320,42
C₄.₃(C₈⋊D₅) = C₄².₁₉₈D₁₀	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₄	320		C4.3(C8:D5)	320,458
C₄.₄(C₈⋊D₅) = Dic₁₀⋊₃C₈	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₄	320		C4.4(C8:D5)	320,14
C₄.₅(C₈⋊D₅) = D₂₀⋊₃C₈	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₄	160		C4.5(C8:D5)	320,17
C₄.₆(C₈⋊D₅) = C₄₀⋊₁₁Q₈	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₄	320		C4.6(C8:D5)	320,306
C₄.₇(C₈⋊D₅) = C₂₀.₅₃D₈	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320		C4.7(C8:D5)	320,37
C₄.₈(C₈⋊D₅) = C₂₀.₃₉SD₁₆	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₄	320		C4.8(C8:D5)	320,38
C₄.₉(C₈⋊D₅) = C₈₀⋊C₄	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₄	80	4	C4.9(C8:D5)	320,70
C₄.₁₀(C₈⋊D₅) = C₈.₂₅D₂₀	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₄	80	4	C4.10(C8:D5)	320,72
C₄.₁₁(C₈⋊D₅) = C₄².₂₀₂D₁₀	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₄	160		C4.11(C8:D5)	320,462
C₄.₁₂(C₈⋊D₅) = C₄².₂₇₉D₁₀	central extension (φ=1)	320		C4.12(C8:D5)	320,12
C₄.₁₃(C₈⋊D₅) = C₄₀⋊₈C₈	central extension (φ=1)	320		C4.13(C8:D5)	320,13
C₄.₁₄(C₈⋊D₅) = C₄₀.₈₈D₄	central extension (φ=1)	320		C4.14(C8:D5)	320,59
C₄.₁₅(C₈⋊D₅) = D₁₀⋊₁C₁₆	central extension (φ=1)	160		C4.15(C8:D5)	320,65
C₄.₁₆(C₈⋊D₅) = C₄².₂₈₂D₁₀	central extension (φ=1)	160		C4.16(C8:D5)	320,312

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