Extensions 1→N→G→Q→1 with N=C₈ and Q=S₃xC₆

Direct product G=NxQ with N=C₈ and Q=S₃xC₆

		d	ρ	Label	ID
S₃xC₂xC₂₄		96		S3xC2xC24	288,670

Semidirect products G=N:Q with N=C₈ and Q=S₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁(S₃xC₆) = C₃xC₈:D₆	φ: S₃xC₆/C₃² → C₂² ⊆ Aut C₈	48	4	C8:1(S3xC6)	288,679
C₈:₂(S₃xC₆) = C₃xD₈:S₃	φ: S₃xC₆/C₃² → C₂² ⊆ Aut C₈	48	4	C8:2(S3xC6)	288,682
C₈:₃(S₃xC₆) = C₃xQ₈:₃D₆	φ: S₃xC₆/C₃² → C₂² ⊆ Aut C₈	48	4	C8:3(S3xC6)	288,685
C₈:₄(S₃xC₆) = C₃xS₃xD₈	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	48	4	C8:4(S3xC6)	288,681
C₈:₅(S₃xC₆) = C₃xS₃xSD₁₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	48	4	C8:5(S3xC6)	288,684
C₈:₆(S₃xC₆) = C₃xS₃xM₄(2)	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	48	4	C8:6(S3xC6)	288,677
C₈:₇(S₃xC₆) = C₆xD₂₄	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	96		C8:7(S3xC6)	288,674
C₈:₈(S₃xC₆) = C₆xC₂₄:C₂	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	96		C8:8(S3xC6)	288,673
C₈:₉(S₃xC₆) = C₆xC₈:S₃	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	96		C8:9(S3xC6)	288,671

Non-split extensions G=N.Q with N=C₈ and Q=S₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(S₃xC₆) = C₃xC₈.D₆	φ: S₃xC₆/C₃² → C₂² ⊆ Aut C₈	48	4	C8.1(S3xC6)	288,680
C₈.₂(S₃xC₆) = C₃xD₄.D₆	φ: S₃xC₆/C₃² → C₂² ⊆ Aut C₈	48	4	C8.2(S3xC6)	288,686
C₈.₃(S₃xC₆) = C₃xQ₁₆:S₃	φ: S₃xC₆/C₃² → C₂² ⊆ Aut C₈	96	4	C8.3(S3xC6)	288,689
C₈.₄(S₃xC₆) = C₃xC₃:D₁₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	48	4	C8.4(S3xC6)	288,260
C₈.₅(S₃xC₆) = C₃xD₈.S₃	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	48	4	C8.5(S3xC6)	288,261
C₈.₆(S₃xC₆) = C₃xC₈.₆D₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	96	4	C8.6(S3xC6)	288,262
C₈.₇(S₃xC₆) = C₃xC₃:Q₃₂	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	96	4	C8.7(S3xC6)	288,263
C₈.₈(S₃xC₆) = C₃xD₈:₃S₃	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	48	4	C8.8(S3xC6)	288,683
C₈.₉(S₃xC₆) = C₃xS₃xQ₁₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	96	4	C8.9(S3xC6)	288,688
C₈.₁₀(S₃xC₆) = C₃xD₂₄:C₂	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	96	4	C8.10(S3xC6)	288,690
C₈.₁₁(S₃xC₆) = C₃xQ₈.₇D₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	48	4	C8.11(S3xC6)	288,687
C₈.₁₂(S₃xC₆) = C₃xD₁₂.C₄	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Aut C₈	48	4	C8.12(S3xC6)	288,678
C₈.₁₃(S₃xC₆) = C₃xD₄₈	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	96	2	C8.13(S3xC6)	288,233
C₈.₁₄(S₃xC₆) = C₃xC₄₈:C₂	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	96	2	C8.14(S3xC6)	288,234
C₈.₁₅(S₃xC₆) = C₃xDic₂₄	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	96	2	C8.15(S3xC6)	288,235
C₈.₁₆(S₃xC₆) = C₆xDic₁₂	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	96		C8.16(S3xC6)	288,676
C₈.₁₇(S₃xC₆) = C₃xC₄oD₂₄	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	48	2	C8.17(S3xC6)	288,675
C₈.₁₈(S₃xC₆) = C₃xC₈oD₁₂	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Aut C₈	48	2	C8.18(S3xC6)	288,672
C₈.₁₉(S₃xC₆) = S₃xC₄₈	central extension (φ=1)	96	2	C8.19(S3xC6)	288,231
C₈.₂₀(S₃xC₆) = C₃xD₆.C₈	central extension (φ=1)	96	2	C8.20(S3xC6)	288,232
C₈.₂₁(S₃xC₆) = C₆xC₃:C₁₆	central extension (φ=1)	96		C8.21(S3xC6)	288,245
C₈.₂₂(S₃xC₆) = C₃xC₁₂.C₈	central extension (φ=1)	48	2	C8.22(S3xC6)	288,246

Extensions 1→N→G→Q→1 with N=C8 and Q=S3xC6

Extensions 1→N→G→Q→1 with N=C₈ and Q=S₃xC₆