Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂³.₄Q₈

Direct product G=N×Q with N=C₂ and Q=C₂³.₄Q₈

		d	ρ	Label	ID
C₂×C₂³.₄Q₈		64		C2xC2^3.4Q8	128,1125

Non-split extensions G=N.Q with N=C₂ and Q=C₂³.₄Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂³.₄Q₈) = C₂⁴.₅Q₈	central extension (φ=1)	64		C2.1(C2^3.4Q8)	128,171
C₂.₂(C₂³.₄Q₈) = C₂⁴.₆₃₄C₂³	central extension (φ=1)	128		C2.2(C2^3.4Q8)	128,176
C₂.₃(C₂³.₄Q₈) = C₂⁴.₆₃₅C₂³	central extension (φ=1)	128		C2.3(C2^3.4Q8)	128,177
C₂.₄(C₂³.₄Q₈) = C₂⁴.₁₁Q₈	central stem extension (φ=1)	16	4	C2.4(C2^3.4Q8)	128,823
C₂.₅(C₂³.₄Q₈) = (C₂×C₈).₁₆₈D₄	central stem extension (φ=1)	64		C2.5(C2^3.4Q8)	128,824
C₂.₆(C₂³.₄Q₈) = (C₂×C₄).₂₇D₈	central stem extension (φ=1)	64		C2.6(C2^3.4Q8)	128,825
C₂.₇(C₂³.₄Q₈) = (C₂×C₈).₁₆₉D₄	central stem extension (φ=1)	64		C2.7(C2^3.4Q8)	128,826
C₂.₈(C₂³.₄Q₈) = (C₂×C₈).₆₀D₄	central stem extension (φ=1)	128		C2.8(C2^3.4Q8)	128,827
C₂.₉(C₂³.₄Q₈) = (C₂×C₈).₁₇₀D₄	central stem extension (φ=1)	128		C2.9(C2^3.4Q8)	128,828
C₂.₁₀(C₂³.₄Q₈) = (C₂×C₈).₁₇₁D₄	central stem extension (φ=1)	128		C2.10(C2^3.4Q8)	128,829
C₂.₁₁(C₂³.₄Q₈) = C₄².₁₀D₄	central stem extension (φ=1)	32	4	C2.11(C2^3.4Q8)	128,830

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