Extensions 1→N→G→Q→1 with N=C₁₀×M₄(2) and Q=C₂

Direct product G=N×Q with N=C₁₀×M₄(2) and Q=C₂

		d	ρ	Label	ID
M₄(2)×C₂×C₁₀		160		M4(2)xC2xC10	320,1568

Semidirect products G=N:Q with N=C₁₀×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×M₄(2))⋊₁C₂ = C₄₀⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):1C2	320,761
(C₁₀×M₄(2))⋊₂C₂ = C₄₀⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):2C2	320,762
(C₁₀×M₄(2))⋊₃C₂ = C₂×C₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):3C2	320,1418
(C₁₀×M₄(2))⋊₄C₂ = C₂×C₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):4C2	320,1419
(C₁₀×M₄(2))⋊₅C₂ = C₄₀.₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)):5C2	320,1420
(C₁₀×M₄(2))⋊₆C₂ = C₄₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):6C2	320,754
(C₁₀×M₄(2))⋊₇C₂ = C₄₀⋊₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):7C2	320,755
(C₁₀×M₄(2))⋊₈C₂ = C₂×D₅×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):8C2	320,1415
(C₁₀×M₄(2))⋊₉C₂ = C₂×D₂₀.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):9C2	320,1416
(C₁₀×M₄(2))⋊₁₀C₂ = C₄₀.₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)):10C2	320,1417
(C₁₀×M₄(2))⋊₁₁C₂ = C₅×C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):11C2	320,969
(C₁₀×M₄(2))⋊₁₂C₂ = C₅×C₈⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):12C2	320,970
(C₁₀×M₄(2))⋊₁₃C₂ = C₁₀×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):13C2	320,1575
(C₁₀×M₄(2))⋊₁₄C₂ = C₁₀×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):14C2	320,1576
(C₁₀×M₄(2))⋊₁₅C₂ = C₅×D₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)):15C2	320,1577
(C₁₀×M₄(2))⋊₁₆C₂ = D₁₀⋊₈M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):16C2	320,753
(C₁₀×M₄(2))⋊₁₇C₂ = C₄.₈₉(C₂×D₂₀)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):17C2	320,756
(C₁₀×M₄(2))⋊₁₈C₂ = C₂×C₂₀.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):18C2	320,757
(C₁₀×M₄(2))⋊₁₉C₂ = C₂³.₄₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):19C2	320,758
(C₁₀×M₄(2))⋊₂₀C₂ = M₄(2).₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)):20C2	320,759
(C₁₀×M₄(2))⋊₂₁C₂ = C₂³.₄₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):21C2	320,760
(C₁₀×M₄(2))⋊₂₂C₂ = C₂×D₂₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):22C2	320,765
(C₁₀×M₄(2))⋊₂₃C₂ = C₂³.₂₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)):23C2	320,766
(C₁₀×M₄(2))⋊₂₄C₂ = C₅×C₂⁴.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):24C2	320,908
(C₁₀×M₄(2))⋊₂₅C₂ = C₅×(C₂²×C₈)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):25C2	320,909
(C₁₀×M₄(2))⋊₂₆C₂ = C₁₀×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):26C2	320,912
(C₁₀×M₄(2))⋊₂₇C₂ = C₅×M₄(2).₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)):27C2	320,914
(C₁₀×M₄(2))⋊₂₈C₂ = C₅×C₂³.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):28C2	320,918
(C₁₀×M₄(2))⋊₂₉C₂ = C₅×C₂³.₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):29C2	320,919
(C₁₀×M₄(2))⋊₃₀C₂ = C₁₀×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)):30C2	320,921
(C₁₀×M₄(2))⋊₃₁C₂ = C₅×C₄²⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)):31C2	320,922
(C₁₀×M₄(2))⋊₃₂C₂ = C₅×C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):32C2	320,936
(C₁₀×M₄(2))⋊₃₃C₂ = C₅×C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)):33C2	320,937
(C₁₀×M₄(2))⋊₃₄C₂ = C₅×Q₈○M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)):34C2	320,1570
(C₁₀×M₄(2))⋊₃₅C₂ = C₁₀×C₈○D₄	φ: trivial image	160		(C10xM4(2)):35C2	320,1569

Non-split extensions G=N.Q with N=C₁₀×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×M₄(2)).₁C₂ = C₂³.₄₇D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).1C2	320,748
(C₁₀×M₄(2)).₂C₂ = M₄(2).Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).2C2	320,752
(C₁₀×M₄(2)).₃C₂ = C₄₀.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).3C2	320,764
(C₁₀×M₄(2)).₄C₂ = C₄₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).4C2	320,111
(C₁₀×M₄(2)).₅C₂ = M₄(2)×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).5C2	320,744
(C₁₀×M₄(2)).₆C₂ = C₂₀.₃₇C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).6C2	320,749
(C₁₀×M₄(2)).₇C₂ = C₅×M₄(2)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).7C2	320,929
(C₁₀×M₄(2)).₈C₂ = C₅×C₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).8C2	320,971
(C₁₀×M₄(2)).₉C₂ = M₄(2)⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).9C2	320,112
(C₁₀×M₄(2)).₁₀C₂ = C₂₀.₃₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)).10C2	320,113
(C₁₀×M₄(2)).₁₁C₂ = (C₂×C₄₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).11C2	320,114
(C₁₀×M₄(2)).₁₂C₂ = C₂³.₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).12C2	320,115
(C₁₀×M₄(2)).₁₃C₂ = C₂₀.₃₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).13C2	320,116
(C₁₀×M₄(2)).₁₄C₂ = M₄(2)⋊₄Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).14C2	320,117
(C₁₀×M₄(2)).₁₅C₂ = C₂₀.₅₁C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).15C2	320,118
(C₁₀×M₄(2)).₁₆C₂ = C₅×C₄.₉C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).16C2	320,142
(C₁₀×M₄(2)).₁₇C₂ = C₅×C₄.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).17C2	320,143
(C₁₀×M₄(2)).₁₈C₂ = C₅×C₄²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80		(C10xM4(2)).18C2	320,144
(C₁₀×M₄(2)).₁₉C₂ = C₅×C₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).19C2	320,146
(C₁₀×M₄(2)).₂₀C₂ = C₅×C₂².C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).20C2	320,148
(C₁₀×M₄(2)).₂₁C₂ = C₅×M₄(2)⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).21C2	320,149
(C₁₀×M₄(2)).₂₂C₂ = C₅×C₂³.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).22C2	320,154
(C₁₀×M₄(2)).₂₃C₂ = Dic₅⋊₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).23C2	320,745
(C₁₀×M₄(2)).₂₄C₂ = C₂₀.₅₁(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).24C2	320,746
(C₁₀×M₄(2)).₂₅C₂ = C₂³.₄₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).25C2	320,747
(C₁₀×M₄(2)).₂₆C₂ = C₂×C₂₀.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).26C2	320,750
(C₁₀×M₄(2)).₂₇C₂ = C₂³.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).27C2	320,751
(C₁₀×M₄(2)).₂₈C₂ = C₂×C₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).28C2	320,763
(C₁₀×M₄(2)).₂₉C₂ = C₁₀×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).29C2	320,913
(C₁₀×M₄(2)).₃₀C₂ = C₅×C₂³.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).30C2	320,920
(C₁₀×M₄(2)).₃₁C₂ = C₅×C₄⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).31C2	320,924
(C₁₀×M₄(2)).₃₂C₂ = C₅×C₄².₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).32C2	320,925
(C₁₀×M₄(2)).₃₃C₂ = C₁₀×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	160		(C10xM4(2)).33C2	320,930
(C₁₀×M₄(2)).₃₄C₂ = C₅×M₄(2).C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×M₄(2)	80	4	(C10xM4(2)).34C2	320,931
(C₁₀×M₄(2)).₃₅C₂ = M₄(2)×C₂₀	φ: trivial image	160		(C10xM4(2)).35C2	320,905
(C₁₀×M₄(2)).₃₆C₂ = C₅×C₈○₂M₄(2)	φ: trivial image	160		(C10xM4(2)).36C2	320,906

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Extensions 1→N→G→Q→1 with N=C10×M4(2) and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₀×M₄(2) and Q=C₂