Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂₄.C₄

Direct product G=N×Q with N=C₂ and Q=C₂₄.C₄

		d	ρ	Label	ID
C₂×C₂₄.C₄		96		C2xC24.C4	192,666

Non-split extensions G=N.Q with N=C₂ and Q=C₂₄.C₄

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₂₄.C₄) = C₂₄⋊₂C₈	central extension (φ=1)	192	C2.1(C24.C4)	192,16
C₂.₂(C₂₄.C₄) = C₂₄⋊₁C₈	central extension (φ=1)	192	C2.2(C24.C4)	192,17
C₂.₃(C₂₄.C₄) = C₁₂.₁₀C₄²	central extension (φ=1)	96	C2.3(C24.C4)	192,111

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C24.C4