Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xC₈

Direct product G=NxQ with N=C₆ and Q=S₃xC₈

		d	ρ	Label	ID
S₃xC₂xC₂₄		96		S3xC2xC24	288,670

Semidirect products G=N:Q with N=C₆ and Q=S₃xC₈

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(S₃xC₈) = C₂xC₁₂.₂₉D₆	φ: S₃xC₈/C₃:C₈ → C₂ ⊆ Aut C₆	48	C6:1(S3xC8)	288,464
C₆:₂(S₃xC₈) = C₂xC₈xC₃:S₃	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	144	C6:2(S3xC8)	288,756
C₆:₃(S₃xC₈) = C₂xS₃xC₃:C₈	φ: S₃xC₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6:3(S3xC8)	288,460

Non-split extensions G=N.Q with N=C₆ and Q=S₃xC₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(S₃xC₈) = C₂₄.₆₀D₆	φ: S₃xC₈/C₃:C₈ → C₂ ⊆ Aut C₆	48	4	C6.1(S3xC8)	288,190
C₆.₂(S₃xC₈) = C₂₄.₆₂D₆	φ: S₃xC₈/C₃:C₈ → C₂ ⊆ Aut C₆	48	4	C6.2(S3xC8)	288,192
C₆.₃(S₃xC₈) = C₆.(S₃xC₈)	φ: S₃xC₈/C₃:C₈ → C₂ ⊆ Aut C₆	96		C6.3(S3xC8)	288,201
C₆.₄(S₃xC₈) = C₁₂.₇₈D₁₂	φ: S₃xC₈/C₃:C₈ → C₂ ⊆ Aut C₆	48		C6.4(S3xC8)	288,205
C₆.₅(S₃xC₈) = C₁₂.₁₅Dic₆	φ: S₃xC₈/C₃:C₈ → C₂ ⊆ Aut C₆	96		C6.5(S3xC8)	288,220
C₆.₆(S₃xC₈) = C₁₆xD₉	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	144	2	C6.6(S3xC8)	288,4
C₆.₇(S₃xC₈) = C₁₆:D₉	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	144	2	C6.7(S3xC8)	288,5
C₆.₈(S₃xC₈) = C₈xDic₉	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	288		C6.8(S3xC8)	288,21
C₆.₉(S₃xC₈) = Dic₉:C₈	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	288		C6.9(S3xC8)	288,22
C₆.₁₀(S₃xC₈) = D₁₈:C₈	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	144		C6.10(S3xC8)	288,27
C₆.₁₁(S₃xC₈) = C₂xC₈xD₉	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	144		C6.11(S3xC8)	288,110
C₆.₁₂(S₃xC₈) = C₁₆xC₃:S₃	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	144		C6.12(S3xC8)	288,272
C₆.₁₃(S₃xC₈) = C₄₈:S₃	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	144		C6.13(S3xC8)	288,273
C₆.₁₄(S₃xC₈) = C₈xC₃:Dic₃	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	288		C6.14(S3xC8)	288,288
C₆.₁₅(S₃xC₈) = C₁₂.₃₀Dic₆	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	288		C6.15(S3xC8)	288,289
C₆.₁₆(S₃xC₈) = C₁₂.₆₀D₁₂	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₆	144		C6.16(S3xC8)	288,295
C₆.₁₇(S₃xC₈) = S₃xC₃:C₁₆	φ: S₃xC₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	4	C6.17(S3xC8)	288,189
C₆.₁₈(S₃xC₈) = C₂₄.₆₁D₆	φ: S₃xC₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	4	C6.18(S3xC8)	288,191
C₆.₁₉(S₃xC₈) = Dic₃xC₃:C₈	φ: S₃xC₈/C₄xS₃ → C₂ ⊆ Aut C₆	96		C6.19(S3xC8)	288,200
C₆.₂₀(S₃xC₈) = C₁₂.₇₇D₁₂	φ: S₃xC₈/C₄xS₃ → C₂ ⊆ Aut C₆	96		C6.20(S3xC8)	288,204
C₆.₂₁(S₃xC₈) = C₁₂.₈₁D₁₂	φ: S₃xC₈/C₄xS₃ → C₂ ⊆ Aut C₆	96		C6.21(S3xC8)	288,219
C₆.₂₂(S₃xC₈) = S₃xC₄₈	central extension (φ=1)	96	2	C6.22(S3xC8)	288,231
C₆.₂₃(S₃xC₈) = C₃xD₆.C₈	central extension (φ=1)	96	2	C6.23(S3xC8)	288,232
C₆.₂₄(S₃xC₈) = Dic₃xC₂₄	central extension (φ=1)	96		C6.24(S3xC8)	288,247
C₆.₂₅(S₃xC₈) = C₃xDic₃:C₈	central extension (φ=1)	96		C6.25(S3xC8)	288,248
C₆.₂₆(S₃xC₈) = C₃xD₆:C₈	central extension (φ=1)	96		C6.26(S3xC8)	288,254

Extensions 1→N→G→Q→1 with N=C6 and Q=S3xC8

Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xC₈