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

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

		d	ρ	Label	ID
C₂³×C₈		64		C2^3xC8	64,246

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊C₂³ = C₂×C₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	16		C8:C2^3	64,254
C₈⋊₂C₂³ = C₂²×D₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8:2C2^3	64,250
C₈⋊₃C₂³ = C₂²×SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8:3C2^3	64,251
C₈⋊₄C₂³ = C₂²×M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8:4C2^3	64,247

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₂³ = C₂×C₈.C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	32		C8.1C2^3	64,255
C₈.₂C₂³ = D₈⋊C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	16	4	C8.2C2^3	64,256
C₈.₃C₂³ = D₄○D₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	16	4+	C8.3C2^3	64,257
C₈.₄C₂³ = D₄○SD₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	16	4	C8.4C2^3	64,258
C₈.₅C₂³ = Q₈○D₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	32	4-	C8.5C2^3	64,259
C₈.₆C₂³ = C₂×D₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8.6C2^3	64,186
C₈.₇C₂³ = C₂×SD₃₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8.7C2^3	64,187
C₈.₈C₂³ = C₂×Q₃₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	64		C8.8C2^3	64,188
C₈.₉C₂³ = C₄○D₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32	2	C8.9C2^3	64,189
C₈.₁₀C₂³ = C₁₆⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	16	4+	C8.10C2^3	64,190
C₈.₁₁C₂³ = Q₃₂⋊C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32	4-	C8.11C2^3	64,191
C₈.₁₂C₂³ = C₂²×Q₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	64		C8.12C2^3	64,252
C₈.₁₃C₂³ = C₂×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8.13C2^3	64,253
C₈.₁₄C₂³ = C₂×C₈○D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8.14C2^3	64,248
C₈.₁₅C₂³ = Q₈○M₄(2)	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	16	4	C8.15C2^3	64,249
C₈.₁₆C₂³ = C₂×M₅(2)	central extension (φ=1)	32		C8.16C2^3	64,184
C₈.₁₇C₂³ = D₄○C₁₆	central extension (φ=1)	32	2	C8.17C2^3	64,185

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