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

Direct product G=N×Q with N=C₂ and Q=C₅₆⋊₁C₄

		d	ρ	Label	ID
C₂×C₅₆⋊₁C₄		448		C2xC56:1C4	448,639

Non-split extensions G=N.Q with N=C₂ and Q=C₅₆⋊₁C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₅₆⋊₁C₄) = C₅₆⋊₁C₈	central extension (φ=1)	448		C2.1(C56:1C4)	448,15
C₂.₂(C₅₆⋊₁C₄) = C₂₈.₉C₄²	central extension (φ=1)	448		C2.2(C56:1C4)	448,108
C₂.₃(C₅₆⋊₁C₄) = C₁₁₂⋊₅C₄	central stem extension (φ=1)	448		C2.3(C56:1C4)	448,61
C₂.₄(C₅₆⋊₁C₄) = C₁₁₂⋊₆C₄	central stem extension (φ=1)	448		C2.4(C56:1C4)	448,62
C₂.₅(C₅₆⋊₁C₄) = C₁₁₂.C₄	central stem extension (φ=1)	224	2	C2.5(C56:1C4)	448,63

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁