Extensions 1→N→G→Q→1 with N=C₂² and Q=C₈×D₅

Direct product G=N×Q with N=C₂² and Q=C₈×D₅

		d	ρ	Label	ID
D₅×C₂²×C₈		160		D5xC2^2xC8	320,1408

Semidirect products G=N:Q with N=C₂² and Q=C₈×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₈×D₅) = C₅⋊₅(C₈×D₄)	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160		C2^2:1(C8xD5)	320,352
C₂²⋊₂(C₈×D₅) = C₈×C₅⋊D₄	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:2(C8xD5)	320,736
C₂²⋊₃(C₈×D₅) = D₅×C₂²⋊C₈	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80		C2^2:3(C8xD5)	320,351

Non-split extensions G=N.Q with N=C₂² and Q=C₈×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₈×D₅) = D₂₀.₅C₈	φ: C₈×D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160	4	C2^2.1(C8xD5)	320,534
C₂².₂(C₈×D₅) = D₂₀.₆C₈	φ: C₈×D₅/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.2(C8xD5)	320,528
C₂².₃(C₈×D₅) = C₅⋊₃(C₂³⋊C₈)	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80		C2^2.3(C8xD5)	320,26
C₂².₄(C₈×D₅) = (C₂×Dic₅)⋊C₈	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	160		C2^2.4(C8xD5)	320,27
C₂².₅(C₈×D₅) = C₈.₂₅D₂₀	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.5(C8xD5)	320,72
C₂².₆(C₈×D₅) = Dic₅.₁₄M₄(2)	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	160		C2^2.6(C8xD5)	320,345
C₂².₇(C₈×D₅) = D₅×M₅(2)	φ: C₈×D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.7(C8xD5)	320,533
C₂².₈(C₈×D₅) = C₁₆×Dic₅	central extension (φ=1)	320		C2^2.8(C8xD5)	320,58
C₂².₉(C₈×D₅) = C₄₀.₈₈D₄	central extension (φ=1)	320		C2^2.9(C8xD5)	320,59
C₂².₁₀(C₈×D₅) = C₈₀⋊₁₇C₄	central extension (φ=1)	320		C2^2.10(C8xD5)	320,60
C₂².₁₁(C₈×D₅) = D₁₀⋊₁C₁₆	central extension (φ=1)	160		C2^2.11(C8xD5)	320,65
C₂².₁₂(C₈×D₅) = (C₂×C₄₀)⋊₁₅C₄	central extension (φ=1)	320		C2^2.12(C8xD5)	320,108
C₂².₁₃(C₈×D₅) = D₅×C₂×C₁₆	central extension (φ=1)	160		C2^2.13(C8xD5)	320,526
C₂².₁₄(C₈×D₅) = C₂×C₈₀⋊C₂	central extension (φ=1)	160		C2^2.14(C8xD5)	320,527
C₂².₁₅(C₈×D₅) = C₂×C₈×Dic₅	central extension (φ=1)	320		C2^2.15(C8xD5)	320,725
C₂².₁₆(C₈×D₅) = C₂×C₂₀.₈Q₈	central extension (φ=1)	320		C2^2.16(C8xD5)	320,726
C₂².₁₇(C₈×D₅) = C₂×D₁₀⋊₁C₈	central extension (φ=1)	160		C2^2.17(C8xD5)	320,735

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