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

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

		d	ρ	Label	ID
C₂³xC₈		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 = C₂xC₈:C₂²	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	16		C8:C2^3	64,254
C₈:₂C₂³ = C₂²xD₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8:2C2^3	64,250
C₈:₃C₂³ = C₂²xSD₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8:3C2^3	64,251
C₈:₄C₂³ = C₂²xM₄(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 = C₂xC₈.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 = D₄oD₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	16	4+	C8.3C2^3	64,257
C₈.₄C₂³ = D₄oSD₁₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	16	4	C8.4C2^3	64,258
C₈.₅C₂³ = Q₈oD₈	φ: C₂³/C₂ → C₂² ⊆ Aut C₈	32	4-	C8.5C2^3	64,259
C₈.₆C₂³ = C₂xD₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8.6C2^3	64,186
C₈.₇C₂³ = C₂xSD₃₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8.7C2^3	64,187
C₈.₈C₂³ = C₂xQ₃₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	64		C8.8C2^3	64,188
C₈.₉C₂³ = C₄oD₁₆	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 = C₂²xQ₁₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	64		C8.12C2^3	64,252
C₈.₁₃C₂³ = C₂xC₄oD₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8.13C2^3	64,253
C₈.₁₄C₂³ = C₂xC₈oD₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	32		C8.14C2^3	64,248
C₈.₁₅C₂³ = Q₈oM₄(2)	φ: C₂³/C₂² → C₂ ⊆ Aut C₈	16	4	C8.15C2^3	64,249
C₈.₁₆C₂³ = C₂xM₅(2)	central extension (φ=1)	32		C8.16C2^3	64,184
C₈.₁₇C₂³ = D₄oC₁₆	central extension (φ=1)	32	2	C8.17C2^3	64,185

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