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	128,1117

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) = C₂⁴.₆₃₂C₂³	central extension (φ=1)	128		C2.2(C2^3:Q8)	128,174
C₂.₃(C₂³⋊Q₈) = C₂⁴.₆₃₆C₂³	central extension (φ=1)	128		C2.3(C2^3:Q8)	128,178
C₂.₄(C₂³⋊Q₈) = (C₂×D₄)⋊Q₈	central stem extension (φ=1)	64		C2.4(C2^3:Q8)	128,755
C₂.₅(C₂³⋊Q₈) = (C₂×Q₈)⋊Q₈	central stem extension (φ=1)	128		C2.5(C2^3:Q8)	128,756
C₂.₆(C₂³⋊Q₈) = C₄⋊C₄.₈₄D₄	central stem extension (φ=1)	64		C2.6(C2^3:Q8)	128,757
C₂.₇(C₂³⋊Q₈) = C₄⋊C₄.₈₅D₄	central stem extension (φ=1)	128		C2.7(C2^3:Q8)	128,758
C₂.₈(C₂³⋊Q₈) = (C₂×D₄)⋊₂Q₈	central stem extension (φ=1)	32		C2.8(C2^3:Q8)	128,759
C₂.₉(C₂³⋊Q₈) = (C₂×Q₈)⋊₂Q₈	central stem extension (φ=1)	32		C2.9(C2^3:Q8)	128,760
C₂.₁₀(C₂³⋊Q₈) = C₂⁴⋊₂Q₈	central stem extension (φ=1)	16		C2.10(C2^3:Q8)	128,761
C₂.₁₁(C₂³⋊Q₈) = C₂⁴.₁₈₀C₂³	central stem extension (φ=1)	32		C2.11(C2^3:Q8)	128,762
C₂.₁₂(C₂³⋊Q₈) = C₄².₈D₄	central stem extension (φ=1)	16	4	C2.12(C2^3:Q8)	128,763
C₂.₁₃(C₂³⋊Q₈) = C₂⁴⋊Q₈	central stem extension (φ=1)	16	8+	C2.13(C2^3:Q8)	128,764

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