Extensions 1→N→G→Q→1 with N=C₂ and Q=C₄×C₅₆

Direct product G=N×Q with N=C₂ and Q=C₄×C₅₆

		d	ρ	Label	ID
C₂×C₄×C₅₆		448		C2xC4xC56	448,810

Non-split extensions G=N.Q with N=C₂ and Q=C₄×C₅₆

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₄×C₅₆) = C₇×C₈⋊C₈	central stem extension (φ=1)	448	C2.1(C4xC56)	448,126
C₂.₂(C₄×C₅₆) = C₇×C₂².₇C₄²	central stem extension (φ=1)	448	C2.2(C4xC56)	448,140
C₂.₃(C₄×C₅₆) = C₇×C₁₆⋊₅C₄	central stem extension (φ=1)	448	C2.3(C4xC56)	448,150

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C4×C56