Extensions 1→N→G→Q→1 with N=C₂×M₄(2) and Q=D₅

Direct product G=N×Q with N=C₂×M₄(2) and Q=D₅

		d	ρ	Label	ID
C₂×D₅×M₄(2)		80		C2xD5xM4(2)	320,1415

Semidirect products G=N:Q with N=C₂×M₄(2) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2))⋊₁D₅ = C₄₀⋊₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):1D5	320,761
(C₂×M₄(2))⋊₂D₅ = C₄₀⋊₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):2D5	320,762
(C₂×M₄(2))⋊₃D₅ = C₂×C₈⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):3D5	320,1418
(C₂×M₄(2))⋊₄D₅ = C₂×C₈.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):4D5	320,1419
(C₂×M₄(2))⋊₅D₅ = C₄₀.₉C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)):5D5	320,1420
(C₂×M₄(2))⋊₆D₅ = D₁₀⋊₈M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):6D5	320,753
(C₂×M₄(2))⋊₇D₅ = C₄₀⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):7D5	320,754
(C₂×M₄(2))⋊₈D₅ = C₄₀⋊₁₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):8D5	320,755
(C₂×M₄(2))⋊₉D₅ = C₄.₈₉(C₂×D₂₀)	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):9D5	320,756
(C₂×M₄(2))⋊₁₀D₅ = C₂×C₂₀.₄₆D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):10D5	320,757
(C₂×M₄(2))⋊₁₁D₅ = C₂³.₄₈D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):11D5	320,758
(C₂×M₄(2))⋊₁₂D₅ = M₄(2).₃₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)):12D5	320,759
(C₂×M₄(2))⋊₁₃D₅ = C₂³.₄₉D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)):13D5	320,760
(C₂×M₄(2))⋊₁₄D₅ = C₂×D₂₀⋊₇C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)):14D5	320,765
(C₂×M₄(2))⋊₁₅D₅ = C₂³.₂₀D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)):15D5	320,766
(C₂×M₄(2))⋊₁₆D₅ = C₄₀.₄₇C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)):16D5	320,1417
(C₂×M₄(2))⋊₁₇D₅ = C₂×D₂₀.₂C₄	φ: trivial image	160		(C2xM4(2)):17D5	320,1416

Non-split extensions G=N.Q with N=C₂×M₄(2) and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2)).₁D₅ = C₂³.₄₇D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).1D5	320,748
(C₂×M₄(2)).₂D₅ = M₄(2).Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).2D5	320,752
(C₂×M₄(2)).₃D₅ = C₄₀.₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).3D5	320,764
(C₂×M₄(2)).₄D₅ = C₄₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).4D5	320,111
(C₂×M₄(2)).₅D₅ = M₄(2)⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).5D5	320,112
(C₂×M₄(2)).₆D₅ = C₂₀.₃₃C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80		(C2xM4(2)).6D5	320,113
(C₂×M₄(2)).₇D₅ = (C₂×C₄₀)⋊C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).7D5	320,114
(C₂×M₄(2)).₈D₅ = C₂³.₉D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).8D5	320,115
(C₂×M₄(2)).₉D₅ = C₂₀.₃₄C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).9D5	320,116
(C₂×M₄(2)).₁₀D₅ = M₄(2)⋊₄Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).10D5	320,117
(C₂×M₄(2)).₁₁D₅ = C₂₀.₅₁C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).11D5	320,118
(C₂×M₄(2)).₁₂D₅ = Dic₅⋊₅M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).12D5	320,745
(C₂×M₄(2)).₁₃D₅ = C₂₀.₅₁(C₄⋊C₄)	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).13D5	320,746
(C₂×M₄(2)).₁₄D₅ = C₂³.₄₆D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).14D5	320,747
(C₂×M₄(2)).₁₅D₅ = C₂×C₂₀.₅₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).15D5	320,750
(C₂×M₄(2)).₁₆D₅ = C₂³.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	80	4	(C2xM4(2)).16D5	320,751
(C₂×M₄(2)).₁₇D₅ = C₂×C₄.₁₂D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×M₄(2)	160		(C2xM4(2)).17D5	320,763
(C₂×M₄(2)).₁₈D₅ = M₄(2)×Dic₅	φ: trivial image	160		(C2xM4(2)).18D5	320,744
(C₂×M₄(2)).₁₉D₅ = C₂₀.₃₇C₄²	φ: trivial image	160		(C2xM4(2)).19D5	320,749

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