Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₁₀

Direct product G=N×Q with N=C₄ and Q=Q₈×C₁₀

		d	ρ	Label	ID
Q₈×C₂×C₂₀		320		Q8xC2xC20	320,1518

Semidirect products G=N:Q with N=C₄ and Q=Q₈×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(Q₈×C₁₀) = C₁₀×C₄⋊Q₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320		C4:1(Q8xC10)	320,1533
C₄⋊₂(Q₈×C₁₀) = C₅×D₄×Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	160		C4:2(Q8xC10)	320,1551

Non-split extensions G=N.Q with N=C₄ and Q=Q₈×C₁₀

extension	φ:Q→Aut N	d	Label	ID
C₄.₁(Q₈×C₁₀) = C₁₀×C₄.Q₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320	C4.1(Q8xC10)	320,926
C₄.₂(Q₈×C₁₀) = C₁₀×C₂.D₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320	C4.2(Q8xC10)	320,927
C₄.₃(Q₈×C₁₀) = C₅×C₂³.₂₅D₄	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	160	C4.3(Q8xC10)	320,928
C₄.₄(Q₈×C₁₀) = C₅×M₄(2)⋊C₄	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	160	C4.4(Q8xC10)	320,929
C₄.₅(Q₈×C₁₀) = C₅×C₈⋊₃Q₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320	C4.5(Q8xC10)	320,999
C₄.₆(Q₈×C₁₀) = C₅×C₈.₅Q₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320	C4.6(Q8xC10)	320,1000
C₄.₇(Q₈×C₁₀) = C₅×C₈⋊₂Q₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320	C4.7(Q8xC10)	320,1001
C₄.₈(Q₈×C₁₀) = C₅×C₈⋊Q₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320	C4.8(Q8xC10)	320,1002
C₄.₉(Q₈×C₁₀) = C₁₀×C₄².C₂	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	320	C4.9(Q8xC10)	320,1529
C₄.₁₀(Q₈×C₁₀) = C₅×C₂³.₃₇C₂³	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	160	C4.10(Q8xC10)	320,1535
C₄.₁₁(Q₈×C₁₀) = C₅×C₂³.₄₁C₂³	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₄	160	C4.11(Q8xC10)	320,1546
C₄.₁₂(Q₈×C₁₀) = C₅×D₄⋊Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4.12(Q8xC10)	320,975
C₄.₁₃(Q₈×C₁₀) = C₅×Q₈⋊Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.13(Q8xC10)	320,976
C₄.₁₄(Q₈×C₁₀) = C₅×D₄⋊₂Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4.14(Q8xC10)	320,977
C₄.₁₅(Q₈×C₁₀) = C₅×C₄.Q₁₆	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.15(Q8xC10)	320,978
C₄.₁₆(Q₈×C₁₀) = C₅×D₄.Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4.16(Q8xC10)	320,979
C₄.₁₇(Q₈×C₁₀) = C₅×Q₈.Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.17(Q8xC10)	320,980
C₄.₁₈(Q₈×C₁₀) = C₅×D₄⋊₃Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	160	C4.18(Q8xC10)	320,1556
C₄.₁₉(Q₈×C₁₀) = C₅×Q₈⋊₃Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.19(Q8xC10)	320,1559
C₄.₂₀(Q₈×C₁₀) = C₅×Q₈²	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₄	320	C4.20(Q8xC10)	320,1560
C₄.₂₁(Q₈×C₁₀) = C₁₀×C₄⋊C₈	central extension (φ=1)	320	C4.21(Q8xC10)	320,923
C₄.₂₂(Q₈×C₁₀) = C₅×C₄⋊M₄(2)	central extension (φ=1)	160	C4.22(Q8xC10)	320,924
C₄.₂₃(Q₈×C₁₀) = C₅×C₄².₆C₂²	central extension (φ=1)	160	C4.23(Q8xC10)	320,925
C₄.₂₄(Q₈×C₁₀) = Q₈×C₄₀	central extension (φ=1)	320	C4.24(Q8xC10)	320,946
C₄.₂₅(Q₈×C₁₀) = C₅×C₈⋊₄Q₈	central extension (φ=1)	320	C4.25(Q8xC10)	320,947

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Extensions 1→N→G→Q→1 with N=C4 and Q=Q8×C10

Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈×C₁₀