Extensions 1→N→G→Q→1 with N=M₄(2) and Q=C₂²

Direct product G=N×Q with N=M₄(2) and Q=C₂²

		d	ρ	Label	ID
C₂²×M₄(2)		32		C2^2xM4(2)	64,247

Semidirect products G=N:Q with N=M₄(2) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁C₂² = D₄⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out M₄(2)	8	4+	M4(2):1C2^2	64,134
M₄(2)⋊₂C₂² = D₄.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out M₄(2)	16	4	M4(2):2C2^2	64,136
M₄(2)⋊₃C₂² = C₂×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16		M4(2):3C2^2	64,254
M₄(2)⋊₄C₂² = C₂×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	32		M4(2):4C2^2	64,255
M₄(2)⋊₅C₂² = D₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16	4	M4(2):5C2^2	64,256
M₄(2)⋊₆C₂² = D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16	4+	M4(2):6C2^2	64,257
M₄(2)⋊₇C₂² = D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16	4	M4(2):7C2^2	64,258
M₄(2)⋊₈C₂² = C₂×C₄.D₄	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16		M4(2):8C2^2	64,92
M₄(2)⋊₉C₂² = C₂×C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16		M4(2):9C2^2	64,101
M₄(2)⋊₁₀C₂² = C₄²⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16	4	M4(2):10C2^2	64,102
M₄(2)⋊₁₁C₂² = C₂×C₈○D₄	φ: trivial image	32		M4(2):11C2^2	64,248
M₄(2)⋊₁₂C₂² = Q₈○M₄(2)	φ: trivial image	16	4	M4(2):12C2^2	64,249

Non-split extensions G=N.Q with N=M₄(2) and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁C₂² = D₄.₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out M₄(2)	16	4	M4(2).1C2^2	64,135
M₄(2).₂C₂² = D₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out M₄(2)	16	4-	M4(2).2C2^2	64,137
M₄(2).₃C₂² = D₄.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out M₄(2)	16	4	M4(2).3C2^2	64,152
M₄(2).₄C₂² = D₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out M₄(2)	16	4+	M4(2).4C2^2	64,153
M₄(2).₅C₂² = D₄.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out M₄(2)	32	4-	M4(2).5C2^2	64,154
M₄(2).₆C₂² = Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	32	4-	M4(2).6C2^2	64,259
M₄(2).₇C₂² = C₂×C₄.₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	32		M4(2).7C2^2	64,93
M₄(2).₈C₂² = M₄(2).₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16	4	M4(2).8C2^2	64,94
M₄(2).₉C₂² = C₂×C₈.C₄	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	32		M4(2).9C2^2	64,110
M₄(2).₁₀C₂² = M₄(2).C₄	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16	4	M4(2).10C2^2	64,111
M₄(2).₁₁C₂² = C₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16	2	M4(2).11C2^2	64,124
M₄(2).₁₂C₂² = C₈.₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out M₄(2)	16	4	M4(2).12C2^2	64,125

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