Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.Q₈

Direct product G=N×Q with N=C₂ and Q=C₂³.Q₈

		d	ρ	Label	ID
C₂×C₂³.Q₈		64		C2xC2^3.Q8	128,1121

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.Q₈) = C₂⁴.₅Q₈	central extension (φ=1)	64		C2.1(C2^3.Q8)	128,171
C₂.₂(C₂³.Q₈) = C₂⁴.₆₃₁C₂³	central extension (φ=1)	128		C2.2(C2^3.Q8)	128,173
C₂.₃(C₂³.Q₈) = C₂⁴.₆₃₃C₂³	central extension (φ=1)	128		C2.3(C2^3.Q8)	128,175
C₂.₄(C₂³.Q₈) = M₄(2).₁₂D₄	central stem extension (φ=1)	32		C2.4(C2^3.Q8)	128,795
C₂.₅(C₂³.Q₈) = M₄(2).₁₃D₄	central stem extension (φ=1)	64		C2.5(C2^3.Q8)	128,796
C₂.₆(C₂³.Q₈) = C₄⋊C₄.₁₀₆D₄	central stem extension (φ=1)	64		C2.6(C2^3.Q8)	128,797
C₂.₇(C₂³.Q₈) = (C₂×Q₈).₈Q₈	central stem extension (φ=1)	128		C2.7(C2^3.Q8)	128,798
C₂.₈(C₂³.Q₈) = (C₂×C₄).₂₃D₈	central stem extension (φ=1)	64		C2.8(C2^3.Q8)	128,799
C₂.₉(C₂³.Q₈) = (C₂×C₈).₅₂D₄	central stem extension (φ=1)	128		C2.9(C2^3.Q8)	128,800
C₂.₁₀(C₂³.Q₈) = C₂⁴.Q₈	central stem extension (φ=1)	16	8+	C2.10(C2^3.Q8)	128,801
C₂.₁₁(C₂³.Q₈) = M₄(2).₁₅D₄	central stem extension (φ=1)	32	8-	C2.11(C2^3.Q8)	128,802

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