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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2))⋊₁C₄ = C₂⁴.₄₈D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):1C4	128,29
(C₂×M₄(2))⋊₂C₄ = C₂³.C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):2C4	128,37
(C₂×M₄(2))⋊₃C₄ = C₂³.₂C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)):3C4	128,123
(C₂×M₄(2))⋊₄C₄ = (C₂²×C₈)⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)):4C4	128,127
(C₂×M₄(2))⋊₅C₄ = C₂⁴.₆₇D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)):5C4	128,541
(C₂×M₄(2))⋊₆C₄ = (C₂×D₄).₂₄Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)):6C4	128,544
(C₂×M₄(2))⋊₇C₄ = C₂×M₄(2)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)):7C4	128,1642
(C₂×M₄(2))⋊₈C₄ = C₂⁴.₁₀₀D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):8C4	128,1643
(C₂×M₄(2))⋊₉C₄ = C₂³.₂₈C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)):9C4	128,460
(C₂×M₄(2))⋊₁₀C₄ = C₂³.₂₉C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)):10C4	128,461
(C₂×M₄(2))⋊₁₁C₄ = C₂×C₄.₉C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):11C4	128,462
(C₂×M₄(2))⋊₁₂C₄ = C₂×C₄²⋊₆C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):12C4	128,464
(C₂×M₄(2))⋊₁₃C₄ = C₂⁴.₆₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):13C4	128,465
(C₂×M₄(2))⋊₁₄C₄ = C₂⁴.₁₅₂D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)):14C4	128,468
(C₂×M₄(2))⋊₁₅C₄ = C₂×C₂².C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)):15C4	128,473
(C₂×M₄(2))⋊₁₆C₄ = C₂³.₁₅C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):16C4	128,474
(C₂×M₄(2))⋊₁₇C₄ = C₂×M₄(2)⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):17C4	128,475
(C₂×M₄(2))⋊₁₈C₄ = C₂³.₁₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)):18C4	128,485
(C₂×M₄(2))⋊₁₉C₄ = C₂³.₅C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)):19C4	128,489
(C₂×M₄(2))⋊₂₀C₄ = M₄(2)○₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)):20C4	128,1605
(C₂×M₄(2))⋊₂₁C₄ = C₂×C₈○₂M₄(2)	φ: trivial image	64		(C2xM4(2)):21C4	128,1604

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×M₄(2)).₁C₄ = C₂⁴.₃Q₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)).1C4	128,30
(C₂×M₄(2)).₂C₄ = C₄².₃₈₈D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).2C4	128,31
(C₂×M₄(2)).₃C₄ = C₄².₃₀D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).3C4	128,39
(C₂×M₄(2)).₄C₄ = C₄².₃₂D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).4C4	128,41
(C₂×M₄(2)).₅C₄ = C₂³.M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).5C4	128,47
(C₂×M₄(2)).₆C₄ = C₂⁴.C₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	16	4	(C2xM4(2)).6C4	128,52
(C₂×M₄(2)).₇C₄ = C₂³.₇M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).7C4	128,55
(C₂×M₄(2)).₈C₄ = C₄².C₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	16	4	(C2xM4(2)).8C4	128,59
(C₂×M₄(2)).₉C₄ = C₂³.₃C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)).9C4	128,124
(C₂×M₄(2)).₁₀C₄ = M₄(2)⋊₁C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).10C4	128,297
(C₂×M₄(2)).₁₁C₄ = C₈⋊₁M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).11C4	128,301
(C₂×M₄(2)).₁₂C₄ = C₂⁴.₉Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)).12C4	128,543
(C₂×M₄(2)).₁₃C₄ = (C₂×C₈).₁₀₃D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)).13C4	128,545
(C₂×M₄(2)).₁₄C₄ = M₄(2).₁C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)).14C4	128,885
(C₂×M₄(2)).₁₅C₄ = C₈.₅M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	16	4	(C2xM4(2)).15C4	128,897
(C₂×M₄(2)).₁₆C₄ = C₂×M₄(2).C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)).16C4	128,1647
(C₂×M₄(2)).₁₇C₄ = M₄(2)⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).17C4	128,10
(C₂×M₄(2)).₁₈C₄ = C₄².₃Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).18C4	128,15
(C₂×M₄(2)).₁₉C₄ = M₄(2).C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)).19C4	128,110
(C₂×M₄(2)).₂₀C₄ = M₅(2)⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).20C4	128,111
(C₂×M₄(2)).₂₁C₄ = C₈⋊₉M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).21C4	128,183
(C₂×M₄(2)).₂₂C₄ = C₈²⋊₁₅C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).22C4	128,185
(C₂×M₄(2)).₂₃C₄ = C₈⋊₆M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).23C4	128,187
(C₂×M₄(2)).₂₄C₄ = C₂×C₄.₁₀C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)).24C4	128,463
(C₂×M₄(2)).₂₅C₄ = C₂×C₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).25C4	128,469
(C₂×M₄(2)).₂₆C₄ = C₂⁴.₇Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)).26C4	128,470
(C₂×M₄(2)).₂₇C₄ = C₈.₂₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)).27C4	128,842
(C₂×M₄(2)).₂₈C₄ = (C₂×D₄).₅C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).28C4	128,845
(C₂×M₄(2)).₂₉C₄ = C₂×C₂³.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32		(C2xM4(2)).29C4	128,846
(C₂×M₄(2)).₃₀C₄ = M₅(2).₁₉C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)).30C4	128,847
(C₂×M₄(2)).₃₁C₄ = C₂×D₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).31C4	128,848
(C₂×M₄(2)).₃₂C₄ = M₅(2)⋊₁₂C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)).32C4	128,849
(C₂×M₄(2)).₃₃C₄ = C₄⋊C₄.₇C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).33C4	128,883
(C₂×M₄(2)).₃₄C₄ = C₈.₁₂M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	64		(C2xM4(2)).34C4	128,896
(C₂×M₄(2)).₃₅C₄ = Q₈○M₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×M₄(2)	32	4	(C2xM4(2)).35C4	128,2139
(C₂×M₄(2)).₃₆C₄ = C₈×M₄(2)	φ: trivial image	64		(C2xM4(2)).36C4	128,181
(C₂×M₄(2)).₃₇C₄ = C₁₆○₂M₅(2)	φ: trivial image	64		(C2xM4(2)).37C4	128,840
(C₂×M₄(2)).₃₈C₄ = C₂×D₄○C₁₆	φ: trivial image	64		(C2xM4(2)).38C4	128,2138

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

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