Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄⋊F₇

Direct product G=N×Q with N=C₂ and Q=C₄⋊F₇

		d	ρ	Label	ID
C₂×C₄⋊F₇		56		C2xC4:F7	336,123

Non-split extensions G=N.Q with N=C₂ and Q=C₄⋊F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₄⋊F₇) = C₂₈⋊C₁₂	central extension (φ=1)	112		C2.1(C4:F7)	336,16
C₂.₂(C₄⋊F₇) = D₁₄⋊C₁₂	central extension (φ=1)	56		C2.2(C4:F7)	336,17
C₂.₃(C₄⋊F₇) = C₅₆⋊C₆	central stem extension (φ=1)	56	6	C2.3(C4:F7)	336,9
C₂.₄(C₄⋊F₇) = D₅₆⋊C₃	central stem extension (φ=1)	56	6+	C2.4(C4:F7)	336,10
C₂.₅(C₄⋊F₇) = C₈.F₇	central stem extension (φ=1)	112	6-	C2.5(C4:F7)	336,11

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁