Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xQ₈

Direct product G=NxQ with N=C₆ and Q=S₃xQ₈

		d	ρ	Label	ID
S₃xC₆xQ₈		96		S3xC6xQ8	288,995

Semidirect products G=N:Q with N=C₆ and Q=S₃xQ₈

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(S₃xQ₈) = C₂xDic₃.D₆	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	48	C6:1(S3xQ8)	288,947
C₆:₂(S₃xQ₈) = C₂xS₃xDic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6:2(S3xQ8)	288,942
C₆:₃(S₃xQ₈) = C₂xQ₈xC₃:S₃	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6:3(S3xQ8)	288,1010

Non-split extensions G=N.Q with N=C₆ and Q=S₃xQ₈

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(S₃xQ₈) = C₆².₈C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	96	C6.1(S3xQ8)	288,486
C₆.₂(S₃xQ₈) = C₆².₉C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	96	C6.2(S3xQ8)	288,487
C₆.₃(S₃xQ₈) = C₆².₁₃C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	96	C6.3(S3xQ8)	288,491
C₆.₄(S₃xQ₈) = C₆².₁₇C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	96	C6.4(S3xQ8)	288,495
C₆.₅(S₃xQ₈) = C₆².₃₅C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	48	C6.5(S3xQ8)	288,513
C₆.₆(S₃xQ₈) = C₆².₄₀C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	96	C6.6(S3xQ8)	288,518
C₆.₇(S₃xQ₈) = C₁₂.₃₀D₁₂	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	48	C6.7(S3xQ8)	288,519
C₆.₈(S₃xQ₈) = C₆².₄₃C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	96	C6.8(S3xQ8)	288,521
C₆.₉(S₃xQ₈) = C₆².₅₃C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	48	C6.9(S3xQ8)	288,531
C₆.₁₀(S₃xQ₈) = C₆².₅₈C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	48	C6.10(S3xQ8)	288,536
C₆.₁₁(S₃xQ₈) = C₆².₆₅C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	48	C6.11(S3xQ8)	288,543
C₆.₁₂(S₃xQ₈) = C₆².₇₀C₂³	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	48	C6.12(S3xQ8)	288,548
C₆.₁₃(S₃xQ₈) = C₁₂:Dic₆	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₆	96	C6.13(S3xQ8)	288,567
C₆.₁₄(S₃xQ₈) = Dic₃:₅Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.14(S3xQ8)	288,485
C₆.₁₅(S₃xQ₈) = C₆².₁₀C₂³	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.15(S3xQ8)	288,488
C₆.₁₆(S₃xQ₈) = Dic₃xDic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.16(S3xQ8)	288,490
C₆.₁₇(S₃xQ₈) = Dic₃:₆Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.17(S3xQ8)	288,492
C₆.₁₈(S₃xQ₈) = Dic₃.Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.18(S3xQ8)	288,493
C₆.₁₉(S₃xQ₈) = C₆².₁₆C₂³	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.19(S3xQ8)	288,494
C₆.₂₀(S₃xQ₈) = D₆:Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.20(S3xQ8)	288,499
C₆.₂₁(S₃xQ₈) = D₆:₆Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.21(S3xQ8)	288,504
C₆.₂₂(S₃xQ₈) = D₆:₇Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.22(S3xQ8)	288,505
C₆.₂₃(S₃xQ₈) = Dic₃:Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.23(S3xQ8)	288,514
C₆.₂₄(S₃xQ₈) = C₆².₃₇C₂³	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.24(S3xQ8)	288,515
C₆.₂₅(S₃xQ₈) = S₃xDic₃:C₄	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.25(S3xQ8)	288,524
C₆.₂₆(S₃xQ₈) = D₆:₁Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.26(S3xQ8)	288,535
C₆.₂₇(S₃xQ₈) = S₃xC₄:Dic₃	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.27(S3xQ8)	288,537
C₆.₂₈(S₃xQ₈) = D₆:₂Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.28(S3xQ8)	288,541
C₆.₂₉(S₃xQ₈) = D₆:₃Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.29(S3xQ8)	288,544
C₆.₃₀(S₃xQ₈) = D₆:₄Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.30(S3xQ8)	288,547
C₆.₃₁(S₃xQ₈) = C₁₂:₃Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.31(S3xQ8)	288,566
C₆.₃₂(S₃xQ₈) = Dic₉:₃Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.32(S3xQ8)	288,97
C₆.₃₃(S₃xQ₈) = C₃₆:Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.33(S3xQ8)	288,98
C₆.₃₄(S₃xQ₈) = Dic₉.Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.34(S3xQ8)	288,99
C₆.₃₅(S₃xQ₈) = C₄:C₄xD₉	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.35(S3xQ8)	288,101
C₆.₃₆(S₃xQ₈) = D₁₈:Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.36(S3xQ8)	288,106
C₆.₃₇(S₃xQ₈) = D₁₈:₂Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.37(S3xQ8)	288,107
C₆.₃₈(S₃xQ₈) = Dic₉:Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.38(S3xQ8)	288,154
C₆.₃₉(S₃xQ₈) = Q₈xDic₉	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.39(S3xQ8)	288,155
C₆.₄₀(S₃xQ₈) = D₁₈:₃Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.40(S3xQ8)	288,156
C₆.₄₁(S₃xQ₈) = C₂xQ₈xD₉	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.41(S3xQ8)	288,359
C₆.₄₂(S₃xQ₈) = C₆².₂₃₁C₂³	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.42(S3xQ8)	288,744
C₆.₄₃(S₃xQ₈) = C₁₂:₂Dic₆	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.43(S3xQ8)	288,745
C₆.₄₄(S₃xQ₈) = C₆².₂₃₃C₂³	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.44(S3xQ8)	288,746
C₆.₄₅(S₃xQ₈) = C₄:C₄xC₃:S₃	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.45(S3xQ8)	288,748
C₆.₄₆(S₃xQ₈) = C₆².₂₄₀C₂³	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.46(S3xQ8)	288,753
C₆.₄₇(S₃xQ₈) = C₁₂.₃₁D₁₂	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.47(S3xQ8)	288,754
C₆.₄₈(S₃xQ₈) = C₆².₂₅₉C₂³	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.48(S3xQ8)	288,801
C₆.₄₉(S₃xQ₈) = Q₈xC₃:Dic₃	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.49(S3xQ8)	288,802
C₆.₅₀(S₃xQ₈) = C₆².₂₆₁C₂³	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.50(S3xQ8)	288,803
C₆.₅₁(S₃xQ₈) = C₃xDic₆:C₄	central extension (φ=1)	96	C6.51(S3xQ8)	288,658
C₆.₅₂(S₃xQ₈) = C₃xC₁₂:Q₈	central extension (φ=1)	96	C6.52(S3xQ8)	288,659
C₆.₅₃(S₃xQ₈) = C₃xDic₃.Q₈	central extension (φ=1)	96	C6.53(S3xQ8)	288,660
C₆.₅₄(S₃xQ₈) = C₃xS₃xC₄:C₄	central extension (φ=1)	96	C6.54(S3xQ8)	288,662
C₆.₅₅(S₃xQ₈) = C₃xD₆:Q₈	central extension (φ=1)	96	C6.55(S3xQ8)	288,667
C₆.₅₆(S₃xQ₈) = C₃xC₄.D₁₂	central extension (φ=1)	96	C6.56(S3xQ8)	288,668
C₆.₅₇(S₃xQ₈) = C₃xDic₃:Q₈	central extension (φ=1)	96	C6.57(S3xQ8)	288,715
C₆.₅₈(S₃xQ₈) = C₃xQ₈xDic₃	central extension (φ=1)	96	C6.58(S3xQ8)	288,716
C₆.₅₉(S₃xQ₈) = C₃xD₆:₃Q₈	central extension (φ=1)	96	C6.59(S3xQ8)	288,717

Extensions 1→N→G→Q→1 with N=C6 and Q=S3xQ8

Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xQ₈