Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈:₃S₃

Direct product G=NxQ with N=C₆ and Q=Q₈:₃S₃

		d	ρ	Label	ID
C₆xQ₈:₃S₃		96		C6xQ8:3S3	288,996

Semidirect products G=N:Q with N=C₆ and Q=Q₈:₃S₃

extension	φ:Q→Aut N	d	Label	ID
C₆:₁(Q₈:₃S₃) = C₂xD₆.₆D₆	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6:1(Q8:3S3)	288,949
C₆:₂(Q₈:₃S₃) = C₂xD₁₂:S₃	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6:2(Q8:3S3)	288,944
C₆:₃(Q₈:₃S₃) = C₂xC₁₂.₂₆D₆	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6:3(Q8:3S3)	288,1011

Non-split extensions G=N.Q with N=C₆ and Q=Q₈:₃S₃

extension	φ:Q→Aut N	d	Label	ID
C₆.₁(Q₈:₃S₃) = C₆².₆C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.1(Q8:3S3)	288,484
C₆.₂(Q₈:₃S₃) = C₆².₁₁C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.2(Q8:3S3)	288,489
C₆.₃(Q₈:₃S₃) = Dic₃xDic₆	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.3(Q8:3S3)	288,490
C₆.₄(Q₈:₃S₃) = Dic₃.Dic₆	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.4(Q8:3S3)	288,493
C₆.₅(Q₈:₃S₃) = C₆².₂₀C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.5(Q8:3S3)	288,498
C₆.₆(Q₈:₃S₃) = C₆².₂₄C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.6(Q8:3S3)	288,502
C₆.₇(Q₈:₃S₃) = D₆:₆Dic₆	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.7(Q8:3S3)	288,504
C₆.₈(Q₈:₃S₃) = C₆².₃₁C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.8(Q8:3S3)	288,509
C₆.₉(Q₈:₃S₃) = C₁₂.₂₈D₁₂	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.9(Q8:3S3)	288,512
C₆.₁₀(Q₈:₃S₃) = C₆².₃₈C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.10(Q8:3S3)	288,516
C₆.₁₁(Q₈:₃S₃) = C₆².₃₉C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	96	C6.11(Q8:3S3)	288,517
C₆.₁₂(Q₈:₃S₃) = C₆².₅₈C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.12(Q8:3S3)	288,536
C₆.₁₃(Q₈:₃S₃) = Dic₃:₅D₁₂	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.13(Q8:3S3)	288,542
C₆.₁₄(Q₈:₃S₃) = C₆².₆₇C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.14(Q8:3S3)	288,545
C₆.₁₅(Q₈:₃S₃) = C₆².₇₄C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.15(Q8:3S3)	288,552
C₆.₁₆(Q₈:₃S₃) = C₆².₇₇C₂³	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.16(Q8:3S3)	288,555
C₆.₁₇(Q₈:₃S₃) = C₁₂:₇D₁₂	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.17(Q8:3S3)	288,557
C₆.₁₈(Q₈:₃S₃) = Dic₃:₃D₁₂	φ: Q₈:₃S₃/C₄xS₃ → C₂ ⊆ Aut C₆	48	C6.18(Q8:3S3)	288,558
C₆.₁₉(Q₈:₃S₃) = C₆².₁₃C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.19(Q8:3S3)	288,491
C₆.₂₀(Q₈:₃S₃) = C₆².₁₆C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.20(Q8:3S3)	288,494
C₆.₂₁(Q₈:₃S₃) = C₆².₁₈C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.21(Q8:3S3)	288,496
C₆.₂₂(Q₈:₃S₃) = C₆².₁₉C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.22(Q8:3S3)	288,497
C₆.₂₃(Q₈:₃S₃) = C₆².₂₃C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.23(Q8:3S3)	288,501
C₆.₂₄(Q₈:₃S₃) = C₆².₂₈C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.24(Q8:3S3)	288,506
C₆.₂₅(Q₈:₃S₃) = C₆².₃₂C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.25(Q8:3S3)	288,510
C₆.₂₆(Q₈:₃S₃) = C₆².₃₃C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.26(Q8:3S3)	288,511
C₆.₂₇(Q₈:₃S₃) = C₁₂.₃₀D₁₂	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.27(Q8:3S3)	288,519
C₆.₂₈(Q₈:₃S₃) = C₆².₄₂C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.28(Q8:3S3)	288,520
C₆.₂₉(Q₈:₃S₃) = C₆².₄₈C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.29(Q8:3S3)	288,526
C₆.₃₀(Q₈:₃S₃) = C₆².₅₁C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.30(Q8:3S3)	288,529
C₆.₃₁(Q₈:₃S₃) = C₆².₅₄C₂³	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.31(Q8:3S3)	288,532
C₆.₃₂(Q₈:₃S₃) = Dic₃:D₁₂	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.32(Q8:3S3)	288,534
C₆.₃₃(Q₈:₃S₃) = D₆:₁Dic₆	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.33(Q8:3S3)	288,535
C₆.₃₄(Q₈:₃S₃) = D₆.D₁₂	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.34(Q8:3S3)	288,538
C₆.₃₅(Q₈:₃S₃) = D₁₂:Dic₃	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	96	C6.35(Q8:3S3)	288,546
C₆.₃₆(Q₈:₃S₃) = C₁₂:₂D₁₂	φ: Q₈:₃S₃/D₁₂ → C₂ ⊆ Aut C₆	48	C6.36(Q8:3S3)	288,564
C₆.₃₇(Q₈:₃S₃) = C₃₆.₃Q₈	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.37(Q8:3S3)	288,100
C₆.₃₈(Q₈:₃S₃) = C₄:C₄:₇D₉	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.38(Q8:3S3)	288,102
C₆.₃₉(Q₈:₃S₃) = D₃₆:C₄	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.39(Q8:3S3)	288,103
C₆.₄₀(Q₈:₃S₃) = D₁₈.D₄	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.40(Q8:3S3)	288,104
C₆.₄₁(Q₈:₃S₃) = C₄:D₃₆	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.41(Q8:3S3)	288,105
C₆.₄₂(Q₈:₃S₃) = C₄:C₄:D₉	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.42(Q8:3S3)	288,108
C₆.₄₃(Q₈:₃S₃) = Q₈xDic₉	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.43(Q8:3S3)	288,155
C₆.₄₄(Q₈:₃S₃) = D₁₈:₃Q₈	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.44(Q8:3S3)	288,156
C₆.₄₅(Q₈:₃S₃) = C₃₆.₂₃D₄	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.45(Q8:3S3)	288,157
C₆.₄₆(Q₈:₃S₃) = C₂xQ₈:₃D₉	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.46(Q8:3S3)	288,360
C₆.₄₇(Q₈:₃S₃) = C₆².₂₃₄C₂³	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.47(Q8:3S3)	288,747
C₆.₄₈(Q₈:₃S₃) = C₆².₂₃₆C₂³	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.48(Q8:3S3)	288,749
C₆.₄₉(Q₈:₃S₃) = C₆².₂₃₇C₂³	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.49(Q8:3S3)	288,750
C₆.₅₀(Q₈:₃S₃) = C₆².₂₃₈C₂³	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.50(Q8:3S3)	288,751
C₆.₅₁(Q₈:₃S₃) = C₁₂:₃D₁₂	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.51(Q8:3S3)	288,752
C₆.₅₂(Q₈:₃S₃) = C₆².₂₄₂C₂³	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.52(Q8:3S3)	288,755
C₆.₅₃(Q₈:₃S₃) = Q₈xC₃:Dic₃	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	288	C6.53(Q8:3S3)	288,802
C₆.₅₄(Q₈:₃S₃) = C₆².₂₆₁C₂³	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.54(Q8:3S3)	288,803
C₆.₅₅(Q₈:₃S₃) = C₆².₂₆₂C₂³	φ: Q₈:₃S₃/C₃xQ₈ → C₂ ⊆ Aut C₆	144	C6.55(Q8:3S3)	288,804
C₆.₅₆(Q₈:₃S₃) = C₃xC₄.Dic₆	central extension (φ=1)	96	C6.56(Q8:3S3)	288,661
C₆.₅₇(Q₈:₃S₃) = C₃xC₄:C₄:₇S₃	central extension (φ=1)	96	C6.57(Q8:3S3)	288,663
C₆.₅₈(Q₈:₃S₃) = C₃xDic₃:₅D₄	central extension (φ=1)	96	C6.58(Q8:3S3)	288,664
C₆.₅₉(Q₈:₃S₃) = C₃xD₆.D₄	central extension (φ=1)	96	C6.59(Q8:3S3)	288,665
C₆.₆₀(Q₈:₃S₃) = C₃xC₁₂:D₄	central extension (φ=1)	96	C6.60(Q8:3S3)	288,666
C₆.₆₁(Q₈:₃S₃) = C₃xC₄:C₄:S₃	central extension (φ=1)	96	C6.61(Q8:3S3)	288,669
C₆.₆₂(Q₈:₃S₃) = C₃xQ₈xDic₃	central extension (φ=1)	96	C6.62(Q8:3S3)	288,716
C₆.₆₃(Q₈:₃S₃) = C₃xD₆:₃Q₈	central extension (φ=1)	96	C6.63(Q8:3S3)	288,717
C₆.₆₄(Q₈:₃S₃) = C₃xC₁₂.₂₃D₄	central extension (φ=1)	96	C6.64(Q8:3S3)	288,718

Extensions 1→N→G→Q→1 with N=C6 and Q=Q8:3S3

Extensions 1→N→G→Q→1 with N=C₆ and Q=Q₈:₃S₃