Extensions 1→N→G→Q→1 with N=C₂ and Q=C₈.₄Q₈

Direct product G=N×Q with N=C₂ and Q=C₈.₄Q₈

		d	ρ	Label	ID
C₂×C₈.₄Q₈		64		C2xC8.4Q8	128,892

Non-split extensions G=N.Q with N=C₂ and Q=C₈.₄Q₈

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(C₈.₄Q₈) = C₁₆⋊₃C₈	central extension (φ=1)	128	C2.1(C8.4Q8)	128,103
C₂.₂(C₈.₄Q₈) = C₁₆⋊₄C₈	central extension (φ=1)	128	C2.2(C8.4Q8)	128,104
C₂.₃(C₈.₄Q₈) = C₈.₈C₄²	central extension (φ=1)	64	C2.3(C8.4Q8)	128,113

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2 and Q=C8.4Q8