Extensions 1→N→G→Q→1 with N=M₄(2) and Q=D₁₃

Direct product G=N×Q with N=M₄(2) and Q=D₁₃

		d	ρ	Label	ID
M₄(2)×D₁₃		104	4	M4(2)xD13	416,127

Semidirect products G=N:Q with N=M₄(2) and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2)⋊₁D₁₃ = C₈⋊D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out M₄(2)	104	4+	M4(2):1D13	416,129
M₄(2)⋊₂D₁₃ = C₈.D₂₆	φ: D₁₃/C₁₃ → C₂ ⊆ Out M₄(2)	208	4-	M4(2):2D13	416,130
M₄(2)⋊₃D₁₃ = C₅₂.₄₆D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out M₄(2)	104	4+	M4(2):3D13	416,30
M₄(2)⋊₄D₁₃ = D₅₂⋊₇C₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out M₄(2)	104	4	M4(2):4D13	416,32
M₄(2)⋊₅D₁₃ = D₅₂.₂C₄	φ: trivial image	208	4	M4(2):5D13	416,128

Non-split extensions G=N.Q with N=M₄(2) and Q=D₁₃

extension	φ:Q→Out N	d	ρ	Label	ID
M₄(2).₁D₁₃ = C₅₂.₅₃D₄	φ: D₁₃/C₁₃ → C₂ ⊆ Out M₄(2)	208	4	M4(2).1D13	416,29
M₄(2).₂D₁₃ = C₄.₁₂D₅₂	φ: D₁₃/C₁₃ → C₂ ⊆ Out M₄(2)	208	4-	M4(2).2D13	416,31

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁