Extensions 1→N→G→Q→1 with N=C₄×M₄(2) and Q=C₂

Direct product G=N×Q with N=C₄×M₄(2) and Q=C₂

		d	ρ	Label	ID
C₂×C₄×M₄(2)		64		C2xC4xM4(2)	128,1603

Semidirect products G=N:Q with N=C₄×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×M₄(2))⋊₁C₂ = C₄×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):1C2	128,1676
(C₄×M₄(2))⋊₂C₂ = C₄×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):2C2	128,1677
(C₄×M₄(2))⋊₃C₂ = M₄(2).₅₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	16	4	(C4xM4(2)):3C2	128,1688
(C₄×M₄(2))⋊₄C₂ = M₄(2)⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):4C2	128,1883
(C₄×M₄(2))⋊₅C₂ = M₄(2)⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):5C2	128,1884
(C₄×M₄(2))⋊₆C₂ = M₄(2)⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):6C2	128,1885
(C₄×M₄(2))⋊₇C₂ = C₄².₂₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):7C2	128,1903
(C₄×M₄(2))⋊₈C₂ = C₄².₂₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):8C2	128,1904
(C₄×M₄(2))⋊₉C₂ = C₄².₂₅₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):9C2	128,1914
(C₄×M₄(2))⋊₁₀C₂ = C₄².₂₆₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):10C2	128,1915
(C₄×M₄(2))⋊₁₁C₂ = C₄².₂₆₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):11C2	128,1916
(C₄×M₄(2))⋊₁₂C₂ = C₄².₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):12C2	128,215
(C₄×M₄(2))⋊₁₃C₂ = C₄².₄₀₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):13C2	128,216
(C₄×M₄(2))⋊₁₄C₂ = D₄⋊₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):14C2	128,221
(C₄×M₄(2))⋊₁₅C₂ = D₄⋊₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):15C2	128,222
(C₄×M₄(2))⋊₁₆C₂ = C₄².₆₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):16C2	128,256
(C₄×M₄(2))⋊₁₇C₂ = C₄².₄₀₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):17C2	128,257
(C₄×M₄(2))⋊₁₈C₂ = C₄².₄₀₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):18C2	128,259
(C₄×M₄(2))⋊₁₉C₂ = C₄².₃₇₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):19C2	128,261
(C₄×M₄(2))⋊₂₀C₂ = C₄×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):20C2	128,487
(C₄×M₄(2))⋊₂₁C₂ = C₄×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):21C2	128,490
(C₄×M₄(2))⋊₂₂C₂ = D₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):22C2	128,491
(C₄×M₄(2))⋊₂₃C₂ = C₄².₄₂₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	16	4	(C4xM4(2)):23C2	128,664
(C₄×M₄(2))⋊₂₄C₂ = M₄(2)⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):24C2	128,697
(C₄×M₄(2))⋊₂₅C₂ = C₄².₁₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):25C2	128,699
(C₄×M₄(2))⋊₂₆C₂ = M₄(2)⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):26C2	128,712
(C₄×M₄(2))⋊₂₇C₂ = M₄(2)○₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):27C2	128,1605
(C₄×M₄(2))⋊₂₈C₂ = D₄.₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):28C2	128,1607
(C₄×M₄(2))⋊₂₉C₂ = C₄².₆₇₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):29C2	128,1652
(C₄×M₄(2))⋊₃₀C₂ = C₄².₂₅₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):30C2	128,1653
(C₄×M₄(2))⋊₃₁C₂ = C₄².₂₆₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):31C2	128,1654
(C₄×M₄(2))⋊₃₂C₂ = C₄².₂₆₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):32C2	128,1655
(C₄×M₄(2))⋊₃₃C₂ = D₄×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):33C2	128,1666
(C₄×M₄(2))⋊₃₄C₂ = M₄(2)⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):34C2	128,1667
(C₄×M₄(2))⋊₃₅C₂ = C₄².₂₉₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):35C2	128,1697
(C₄×M₄(2))⋊₃₆C₂ = C₄².₂₉₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):36C2	128,1699
(C₄×M₄(2))⋊₃₇C₂ = C₄².₂₉₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):37C2	128,1701
(C₄×M₄(2))⋊₃₈C₂ = D₄⋊₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):38C2	128,1702
(C₄×M₄(2))⋊₃₉C₂ = Q₈⋊₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):39C2	128,1703
(C₄×M₄(2))⋊₄₀C₂ = C₄².₂₄₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):40C2	128,1870
(C₄×M₄(2))⋊₄₁C₂ = C₄².₂₄₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)):41C2	128,1872
(C₄×M₄(2))⋊₄₂C₂ = C₄².₂₄₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):42C2	128,1873
(C₄×M₄(2))⋊₄₃C₂ = C₄².₂₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)):43C2	128,1874
(C₄×M₄(2))⋊₄₄C₂ = C₄×C₈○D₄	φ: trivial image	64		(C4xM4(2)):44C2	128,1606

Non-split extensions G=N.Q with N=C₄×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×M₄(2)).₁C₂ = M₄(2)⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).1C2	128,297
(C₄×M₄(2)).₂C₂ = C₈⋊₁M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).2C2	128,301
(C₄×M₄(2)).₃C₂ = C₈.₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	16	4	(C4xM4(2)).3C2	128,897
(C₄×M₄(2)).₄C₂ = M₄(2)⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).4C2	128,1897
(C₄×M₄(2)).₅C₂ = M₄(2)⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).5C2	128,1898
(C₄×M₄(2)).₆C₂ = C₄².₂₆₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).6C2	128,1917
(C₄×M₄(2)).₇C₂ = M₄(2)⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).7C2	128,10
(C₄×M₄(2)).₈C₂ = C₄².₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).8C2	128,15
(C₄×M₄(2)).₉C₂ = C₄².₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)).9C2	128,20
(C₄×M₄(2)).₁₀C₂ = C₄².₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).10C2	128,23
(C₄×M₄(2)).₁₁C₂ = C₄².₃₈₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).11C2	128,31
(C₄×M₄(2)).₁₂C₂ = C₄².₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)).12C2	128,32
(C₄×M₄(2)).₁₃C₂ = C₈⋊₉M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).13C2	128,183
(C₄×M₄(2)).₁₄C₂ = C₈²⋊₁₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).14C2	128,185
(C₄×M₄(2)).₁₅C₂ = C₈⋊₆M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).15C2	128,187
(C₄×M₄(2)).₁₆C₂ = C₄².₄₀₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).16C2	128,217
(C₄×M₄(2)).₁₇C₂ = Q₈⋊₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).17C2	128,223
(C₄×M₄(2)).₁₈C₂ = C₄².₄₀₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).18C2	128,258
(C₄×M₄(2)).₁₉C₂ = C₄².₄₀₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).19C2	128,260
(C₄×M₄(2)).₂₀C₂ = C₄×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).20C2	128,488
(C₄×M₄(2)).₂₁C₂ = C₄×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).21C2	128,509
(C₄×M₄(2)).₂₂C₂ = C₈.₆C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).22C2	128,510
(C₄×M₄(2)).₂₃C₂ = C₈⋊C₄⋊₁₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	16	4	(C4xM4(2)).23C2	128,573
(C₄×M₄(2)).₂₄C₂ = C₄².₄₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).24C2	128,682
(C₄×M₄(2)).₂₅C₂ = C₄².₁₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).25C2	128,698
(C₄×M₄(2)).₂₆C₂ = M₄(2)⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	32		(C4xM4(2)).26C2	128,718
(C₄×M₄(2)).₂₇C₂ = M₄(2)⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).27C2	128,729
(C₄×M₄(2)).₂₈C₂ = C₄².₁₂₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).28C2	128,730
(C₄×M₄(2)).₂₉C₂ = M₄(2)⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).29C2	128,1694
(C₄×M₄(2)).₃₀C₂ = Q₈×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).30C2	128,1695
(C₄×M₄(2)).₃₁C₂ = C₄².₂₄₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×M₄(2)	64		(C4xM4(2)).31C2	128,1871
(C₄×M₄(2)).₃₂C₂ = C₈×M₄(2)	φ: trivial image	64		(C4xM4(2)).32C2	128,181

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Extensions 1→N→G→Q→1 with N=C4×M4(2) and Q=C2

Extensions 1→N→G→Q→1 with N=C₄×M₄(2) and Q=C₂