Extensions 1→N→G→Q→1 with N=C₁₀ and Q=S₃xQ₈

Direct product G=NxQ with N=C₁₀ and Q=S₃xQ₈

		d	ρ	Label	ID
S₃xQ₈xC₁₀		240		S3xQ8xC10	480,1157

Semidirect products G=N:Q with N=C₁₀ and Q=S₃xQ₈

extension	φ:Q→Aut N	d	Label	ID
C₁₀:₁(S₃xQ₈) = C₂xD₁₅:Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10:1(S3xQ8)	480,1082
C₁₀:₂(S₃xQ₈) = C₂xS₃xDic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10:2(S3xQ8)	480,1078
C₁₀:₃(S₃xQ₈) = C₂xQ₈xD₁₅	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10:3(S3xQ8)	480,1172

Non-split extensions G=N.Q with N=C₁₀ and Q=S₃xQ₈

extension	φ:Q→Aut N	d	Label	ID
C₁₀.₁(S₃xQ₈) = Dic₁₅:₅Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.1(S3xQ8)	480,401
C₁₀.₂(S₃xQ₈) = Dic₁₅:Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.2(S3xQ8)	480,405
C₁₀.₃(S₃xQ₈) = Dic₁₅:₆Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.3(S3xQ8)	480,407
C₁₀.₄(S₃xQ₈) = Dic₁₅.Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.4(S3xQ8)	480,412
C₁₀.₅(S₃xQ₈) = Dic₁₅.₂Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.5(S3xQ8)	480,415
C₁₀.₆(S₃xQ₈) = Dic₁₅:₇Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.6(S3xQ8)	480,420
C₁₀.₇(S₃xQ₈) = D₃₀:₈Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.7(S3xQ8)	480,453
C₁₀.₈(S₃xQ₈) = Dic₁₅.₄Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.8(S3xQ8)	480,458
C₁₀.₉(S₃xQ₈) = D₃₀:₉Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.9(S3xQ8)	480,459
C₁₀.₁₀(S₃xQ₈) = Dic₁₅:₈Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.10(S3xQ8)	480,461
C₁₀.₁₁(S₃xQ₈) = D₃₀:₁₀Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.11(S3xQ8)	480,466
C₁₀.₁₂(S₃xQ₈) = D₃₀.Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.12(S3xQ8)	480,480
C₁₀.₁₃(S₃xQ₈) = D₃₀:Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.13(S3xQ8)	480,487
C₁₀.₁₄(S₃xQ₈) = D₃₀:₂Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.14(S3xQ8)	480,495
C₁₀.₁₅(S₃xQ₈) = D₃₀:₃Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.15(S3xQ8)	480,500
C₁₀.₁₆(S₃xQ₈) = D₃₀:₄Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.16(S3xQ8)	480,505
C₁₀.₁₇(S₃xQ₈) = D₃₀.₂Q₈	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	240	C10.17(S3xQ8)	480,513
C₁₀.₁₈(S₃xQ₈) = C₂₀:Dic₆	φ: S₃xQ₈/Dic₆ → C₂ ⊆ Aut C₁₀	480	C10.18(S3xQ8)	480,546
C₁₀.₁₉(S₃xQ₈) = Dic₃:₅Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.19(S3xQ8)	480,400
C₁₀.₂₀(S₃xQ₈) = Dic₁₅:₁Q₈	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.20(S3xQ8)	480,403
C₁₀.₂₁(S₃xQ₈) = Dic₃:Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.21(S3xQ8)	480,404
C₁₀.₂₂(S₃xQ₈) = Dic₃xDic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.22(S3xQ8)	480,406
C₁₀.₂₃(S₃xQ₈) = Dic₃₀:₁₄C₄	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.23(S3xQ8)	480,416
C₁₀.₂₄(S₃xQ₈) = Dic₃.Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.24(S3xQ8)	480,419
C₁₀.₂₅(S₃xQ₈) = Dic₃.₂Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.25(S3xQ8)	480,422
C₁₀.₂₆(S₃xQ₈) = D₆:Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.26(S3xQ8)	480,428
C₁₀.₂₇(S₃xQ₈) = C₆₀.₄₅D₄	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.27(S3xQ8)	480,441
C₁₀.₂₈(S₃xQ₈) = C₆₀.₄₆D₄	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.28(S3xQ8)	480,445
C₁₀.₂₉(S₃xQ₈) = Dic₃.₃Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.29(S3xQ8)	480,455
C₁₀.₃₀(S₃xQ₈) = C₆₀.₄₈D₄	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.30(S3xQ8)	480,465
C₁₀.₃₁(S₃xQ₈) = S₃xC₁₀.D₄	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.31(S3xQ8)	480,475
C₁₀.₃₂(S₃xQ₈) = D₆:₁Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.32(S3xQ8)	480,486
C₁₀.₃₃(S₃xQ₈) = D₆:₂Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.33(S3xQ8)	480,493
C₁₀.₃₄(S₃xQ₈) = S₃xC₄:Dic₅	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.34(S3xQ8)	480,502
C₁₀.₃₅(S₃xQ₈) = D₆:₃Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.35(S3xQ8)	480,508
C₁₀.₃₆(S₃xQ₈) = D₆:₄Dic₁₀	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	240	C10.36(S3xQ8)	480,512
C₁₀.₃₇(S₃xQ₈) = C₂₀:₄Dic₆	φ: S₃xQ₈/C₄xS₃ → C₂ ⊆ Aut C₁₀	480	C10.37(S3xQ8)	480,545
C₁₀.₃₈(S₃xQ₈) = Dic₁₅:₁₀Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	480	C10.38(S3xQ8)	480,852
C₁₀.₃₉(S₃xQ₈) = C₄:Dic₃₀	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	480	C10.39(S3xQ8)	480,853
C₁₀.₄₀(S₃xQ₈) = Dic₁₅.₃Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	480	C10.40(S3xQ8)	480,854
C₁₀.₄₁(S₃xQ₈) = C₄:C₄xD₁₅	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10.41(S3xQ8)	480,856
C₁₀.₄₂(S₃xQ₈) = D₃₀:₅Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10.42(S3xQ8)	480,861
C₁₀.₄₃(S₃xQ₈) = D₃₀:₆Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10.43(S3xQ8)	480,862
C₁₀.₄₄(S₃xQ₈) = Dic₁₅:₄Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	480	C10.44(S3xQ8)	480,909
C₁₀.₄₅(S₃xQ₈) = Q₈xDic₁₅	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	480	C10.45(S3xQ8)	480,910
C₁₀.₄₆(S₃xQ₈) = D₃₀:₇Q₈	φ: S₃xQ₈/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10.46(S3xQ8)	480,911
C₁₀.₄₇(S₃xQ₈) = C₅xDic₆:C₄	central extension (φ=1)	480	C10.47(S3xQ8)	480,766
C₁₀.₄₈(S₃xQ₈) = C₅xC₁₂:Q₈	central extension (φ=1)	480	C10.48(S3xQ8)	480,767
C₁₀.₄₉(S₃xQ₈) = C₅xDic₃.Q₈	central extension (φ=1)	480	C10.49(S3xQ8)	480,768
C₁₀.₅₀(S₃xQ₈) = C₅xS₃xC₄:C₄	central extension (φ=1)	240	C10.50(S3xQ8)	480,770
C₁₀.₅₁(S₃xQ₈) = C₅xD₆:Q₈	central extension (φ=1)	240	C10.51(S3xQ8)	480,775
C₁₀.₅₂(S₃xQ₈) = C₅xC₄.D₁₂	central extension (φ=1)	240	C10.52(S3xQ8)	480,776
C₁₀.₅₃(S₃xQ₈) = C₅xDic₃:Q₈	central extension (φ=1)	480	C10.53(S3xQ8)	480,823
C₁₀.₅₄(S₃xQ₈) = C₅xQ₈xDic₃	central extension (φ=1)	480	C10.54(S3xQ8)	480,824
C₁₀.₅₅(S₃xQ₈) = C₅xD₆:₃Q₈	central extension (φ=1)	240	C10.55(S3xQ8)	480,825

Extensions 1→N→G→Q→1 with N=C10 and Q=S3xQ8

Extensions 1→N→G→Q→1 with N=C₁₀ and Q=S₃xQ₈