Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×C₁₀

Direct product G=N×Q with N=C₂² and Q=Q₈×C₁₀

		d	ρ	Label	ID
Q₈×C₂²×C₁₀		320		Q8xC2^2xC10	320,1630

Semidirect products G=N:Q with N=C₂² and Q=Q₈×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(Q₈×C₁₀) = C₁₀×C₂²⋊Q₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2:1(Q8xC10)	320,1525
C₂²⋊₂(Q₈×C₁₀) = C₅×D₄×Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2:2(Q8xC10)	320,1551

Non-split extensions G=N.Q with N=C₂² and Q=Q₈×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(Q₈×C₁₀) = C₁₀×C₈.C₄	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.1(Q8xC10)	320,930
C₂².₂(Q₈×C₁₀) = C₅×M₄(2).C₄	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.2(Q8xC10)	320,931
C₂².₃(Q₈×C₁₀) = C₅×C₂³.₃₇C₂³	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.3(Q8xC10)	320,1535
C₂².₄(Q₈×C₁₀) = C₅×C₂³⋊₂Q₈	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.4(Q8xC10)	320,1545
C₂².₅(Q₈×C₁₀) = C₅×C₂³.₄₁C₂³	φ: Q₈×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.5(Q8xC10)	320,1546
C₂².₆(Q₈×C₁₀) = C₅×D₄⋊₃Q₈	φ: Q₈×C₁₀/C₅×Q₈ → C₂ ⊆ Aut C₂²	160		C2^2.6(Q8xC10)	320,1556
C₂².₇(Q₈×C₁₀) = C₁₀×C₂.C₄²	central extension (φ=1)	320		C2^2.7(Q8xC10)	320,876
C₂².₈(Q₈×C₁₀) = C₄⋊C₄×C₂₀	central extension (φ=1)	320		C2^2.8(Q8xC10)	320,879
C₂².₉(Q₈×C₁₀) = C₅×C₂³.₇Q₈	central extension (φ=1)	160		C2^2.9(Q8xC10)	320,881
C₂².₁₀(Q₈×C₁₀) = C₅×C₄²⋊₈C₄	central extension (φ=1)	320		C2^2.10(Q8xC10)	320,883
C₂².₁₁(Q₈×C₁₀) = C₅×C₄²⋊₉C₄	central extension (φ=1)	320		C2^2.11(Q8xC10)	320,885
C₂².₁₂(Q₈×C₁₀) = C₅×C₂³.₈Q₈	central extension (φ=1)	160		C2^2.12(Q8xC10)	320,886
C₂².₁₃(Q₈×C₁₀) = C₅×C₂³.₆₃C₂³	central extension (φ=1)	320		C2^2.13(Q8xC10)	320,888
C₂².₁₄(Q₈×C₁₀) = C₅×C₂³.₆₅C₂³	central extension (φ=1)	320		C2^2.14(Q8xC10)	320,890
C₂².₁₅(Q₈×C₁₀) = C₅×C₂³.₆₇C₂³	central extension (φ=1)	320		C2^2.15(Q8xC10)	320,892
C₂².₁₆(Q₈×C₁₀) = C₄⋊C₄×C₂×C₁₀	central extension (φ=1)	320		C2^2.16(Q8xC10)	320,1515
C₂².₁₇(Q₈×C₁₀) = Q₈×C₂×C₂₀	central extension (φ=1)	320		C2^2.17(Q8xC10)	320,1518
C₂².₁₈(Q₈×C₁₀) = C₁₀×C₄².C₂	central extension (φ=1)	320		C2^2.18(Q8xC10)	320,1529
C₂².₁₉(Q₈×C₁₀) = C₁₀×C₄⋊Q₈	central extension (φ=1)	320		C2^2.19(Q8xC10)	320,1533
C₂².₂₀(Q₈×C₁₀) = C₅×C₂³⋊Q₈	central stem extension (φ=1)	160		C2^2.20(Q8xC10)	320,894
C₂².₂₁(Q₈×C₁₀) = C₅×C₂³.₇₈C₂³	central stem extension (φ=1)	320		C2^2.21(Q8xC10)	320,896
C₂².₂₂(Q₈×C₁₀) = C₅×C₂³.Q₈	central stem extension (φ=1)	160		C2^2.22(Q8xC10)	320,897
C₂².₂₃(Q₈×C₁₀) = C₅×C₂³.₈₁C₂³	central stem extension (φ=1)	320		C2^2.23(Q8xC10)	320,899
C₂².₂₄(Q₈×C₁₀) = C₅×C₂³.₄Q₈	central stem extension (φ=1)	160		C2^2.24(Q8xC10)	320,900
C₂².₂₅(Q₈×C₁₀) = C₅×C₂³.₈₃C₂³	central stem extension (φ=1)	320		C2^2.25(Q8xC10)	320,901

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Extensions 1→N→G→Q→1 with N=C22 and Q=Q8×C10

Extensions 1→N→G→Q→1 with N=C₂² and Q=Q₈×C₁₀