Extensions 1→N→G→Q→1 with N=C₂³.C₈ and Q=C₂

Direct product G=N×Q with N=C₂³.C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.C₈		32		C2xC2^3.C8	128,846

Semidirect products G=N:Q with N=C₂³.C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.C₈⋊₁C₂ = D₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	16	8+	C2^3.C8:1C2	128,922
C₂³.C₈⋊₂C₂ = D₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	32	8-	C2^3.C8:2C2	128,923
C₂³.C₈⋊₃C₂ = M₅(2).C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	16	8+	C2^3.C8:3C2	128,970
C₂³.C₈⋊₄C₂ = C₂⁴.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	16	4	C2^3.C8:4C2	128,52
C₂³.C₈⋊₅C₂ = C₂³.₁M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	32	4	C2^3.C8:5C2	128,53
C₂³.C₈⋊₆C₂ = C₂³.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	16	8+	C2^3.C8:6C2	128,71
C₂³.C₈⋊₇C₂ = C₂³.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	16	8+	C2^3.C8:7C2	128,73
C₂³.C₈⋊₈C₂ = M₅(2).₁₉C₂²	φ: trivial image	32	4	C2^3.C8:8C2	128,847

Non-split extensions G=N.Q with N=C₂³.C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.C₈.₁C₂ = C₂³.₁₀SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	32	8-	C2^3.C8.1C2	128,971
C₂³.C₈.₂C₂ = C₄².C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	16	4	C2^3.C8.2C2	128,59
C₂³.C₈.₃C₂ = C₂²⋊C₄.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	32	4	C2^3.C8.3C2	128,60
C₂³.C₈.₄C₂ = C₂³.₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	32	8-	C2^3.C8.4C2	128,72
C₂³.C₈.₅C₂ = C₂³.₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	32	8-	C2^3.C8.5C2	128,74
C₂³.C₈.₆C₂ = C₈.₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	16	4	C2^3.C8.6C2	128,897
C₂³.C₈.₇C₂ = C₈.₁₉M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂³.C₈	32	4	C2^3.C8.7C2	128,898

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