Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₄₆D₄

Direct product G=N×Q with N=C₂ and Q=C₂³.₄₆D₄

		d	ρ	Label	ID
C₂×C₂³.₄₆D₄		64		C2xC2^3.46D4	128,1821

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₄₆D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.₄₆D₄) = C₂⁴.₁₅₇D₄	central extension (φ=1)	64		C2.1(C2^3.46D4)	128,556
C₂.₂(C₂³.₄₆D₄) = C₂⁴.₁₅₉D₄	central extension (φ=1)	64		C2.2(C2^3.46D4)	128,585
C₂.₃(C₂³.₄₆D₄) = C₂³.₃₈D₈	central extension (φ=1)	64		C2.3(C2^3.46D4)	128,606
C₂.₄(C₂³.₄₆D₄) = C₄.Q₈⋊₉C₄	central extension (φ=1)	128		C2.4(C2^3.46D4)	128,651
C₂.₅(C₂³.₄₆D₄) = C₄.₆₇(C₄×D₄)	central extension (φ=1)	64		C2.5(C2^3.46D4)	128,658
C₂.₆(C₂³.₄₆D₄) = C₂⁴.₈₄D₄	central stem extension (φ=1)	64		C2.6(C2^3.46D4)	128,766
C₂.₇(C₂³.₄₆D₄) = (C₂×C₄).₂₄D₈	central stem extension (φ=1)	64		C2.7(C2^3.46D4)	128,803
C₂.₈(C₂³.₄₆D₄) = C₂⁴.₈₉D₄	central stem extension (φ=1)	64		C2.8(C2^3.46D4)	128,809
C₂.₉(C₂³.₄₆D₄) = C₂.(C₈⋊₃Q₈)	central stem extension (φ=1)	128		C2.9(C2^3.46D4)	128,816
C₂.₁₀(C₂³.₄₆D₄) = (C₂×C₈).₁₆₉D₄	central stem extension (φ=1)	64		C2.10(C2^3.46D4)	128,826
C₂.₁₁(C₂³.₄₆D₄) = (C₂×C₄).₂₃Q₁₆	central stem extension (φ=1)	128		C2.11(C2^3.46D4)	128,832
C₂.₁₂(C₂³.₄₆D₄) = M₅(2).C₂²	central stem extension (φ=1)	16	8+	C2.12(C2^3.46D4)	128,970
C₂.₁₃(C₂³.₄₆D₄) = C₂³.₁₀SD₁₆	central stem extension (φ=1)	32	8-	C2.13(C2^3.46D4)	128,971

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁