Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₄xS₃

Direct product G=NxQ with N=D₁₀ and Q=C₄xS₃

		d	ρ	Label	ID
S₃xC₂xC₄xD₅		120		S3xC2xC4xD5	480,1086

Semidirect products G=N:Q with N=D₁₀ and Q=C₄xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀:₁(C₄xS₃) = F₅xC₃:D₄	φ: C₄xS₃/C₆ → C₂² ⊆ Out D₁₀	60	8	D10:1(C4xS3)	480,1010
D₁₀:₂(C₄xS₃) = C₃:D₄:F₅	φ: C₄xS₃/C₆ → C₂² ⊆ Out D₁₀	60	8	D10:2(C4xS3)	480,1012
D₁₀:₃(C₄xS₃) = Dic₃:₄D₂₀	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	240		D10:3(C4xS3)	480,471
D₁₀:₄(C₄xS₃) = Dic₁₅:₁₃D₄	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	240		D10:4(C4xS3)	480,472
D₁₀:₅(C₄xS₃) = C₁₅:₁₇(C₄xD₄)	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	240		D10:5(C4xS3)	480,517
D₁₀:₆(C₄xS₃) = Dic₁₅:₉D₄	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	240		D10:6(C4xS3)	480,518
D₁₀:₇(C₄xS₃) = C₄xC₁₅:D₄	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:7(C4xS3)	480,515
D₁₀:₈(C₄xS₃) = D₆:(C₄xD₅)	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:8(C4xS3)	480,516
D₁₀:₉(C₄xS₃) = C₄xC₃:D₂₀	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:9(C4xS3)	480,519
D₁₀:₁₀(C₄xS₃) = C₁₅:₂₀(C₄xD₄)	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	240		D10:10(C4xS3)	480,520
D₁₀:₁₁(C₄xS₃) = S₃xD₁₀:C₄	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120		D10:11(C4xS3)	480,548
D₁₀:₁₂(C₄xS₃) = D₃₀.₂₇D₄	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120		D10:12(C4xS3)	480,549
D₁₀:₁₃(C₄xS₃) = S₃xC₂²:F₅	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	60	8+	D10:13(C4xS3)	480,1011
D₁₀:₁₄(C₄xS₃) = C₂²xS₃xF₅	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	60		D10:14(C4xS3)	480,1197

Non-split extensions G=N.Q with N=D₁₀ and Q=C₄xS₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁(C₄xS₃) = D₁₂.₂F₅	φ: C₄xS₃/C₆ → C₂² ⊆ Out D₁₀	240	8-	D10.1(C4xS3)	480,987
D₁₀.₂(C₄xS₃) = D₁₂.F₅	φ: C₄xS₃/C₆ → C₂² ⊆ Out D₁₀	240	8-	D10.2(C4xS3)	480,989
D₁₀.₃(C₄xS₃) = D₆₀.C₄	φ: C₄xS₃/C₆ → C₂² ⊆ Out D₁₀	240	8+	D10.3(C4xS3)	480,990
D₁₀.₄(C₄xS₃) = Dic₆.F₅	φ: C₄xS₃/C₆ → C₂² ⊆ Out D₁₀	240	8+	D10.4(C4xS3)	480,992
D₁₀.₅(C₄xS₃) = C₄₀.₅₅D₆	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	240	4	D10.5(C4xS3)	480,343
D₁₀.₆(C₄xS₃) = C₄₀.₃₅D₆	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	240	4	D10.6(C4xS3)	480,344
D₁₀.₇(C₄xS₃) = C₃₀.C₄²	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	120	8	D10.7(C4xS3)	480,224
D₁₀.₈(C₄xS₃) = C₃₀.₄C₄²	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	120	8	D10.8(C4xS3)	480,226
D₁₀.₉(C₄xS₃) = D₁₀.₂₀D₁₂	φ: C₄xS₃/Dic₃ → C₂ ⊆ Out D₁₀	120		D10.9(C4xS3)	480,243
D₁₀.₁₀(C₄xS₃) = C₄₀.₅₄D₆	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.10(C4xS3)	480,341
D₁₀.₁₁(C₄xS₃) = C₄₀.₃₄D₆	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.11(C4xS3)	480,342
D₁₀.₁₂(C₄xS₃) = C₈xC₃:F₅	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	120	4	D10.12(C4xS3)	480,296
D₁₀.₁₃(C₄xS₃) = C₂₄:F₅	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	120	4	D10.13(C4xS3)	480,297
D₁₀.₁₄(C₄xS₃) = D₁₀.₁₀D₁₂	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	120		D10.14(C4xS3)	480,311
D₁₀.₁₅(C₄xS₃) = C₂xC₄xC₃:F₅	φ: C₄xS₃/C₁₂ → C₂ ⊆ Out D₁₀	120		D10.15(C4xS3)	480,1063
D₁₀.₁₆(C₄xS₃) = S₃xC₈:D₅	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120	4	D10.16(C4xS3)	480,321
D₁₀.₁₇(C₄xS₃) = C₄₀:D₆	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120	4	D10.17(C4xS3)	480,322
D₁₀.₁₈(C₄xS₃) = (D₅xDic₃):C₄	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	240		D10.18(C4xS3)	480,469
D₁₀.₁₉(C₄xS₃) = D₁₀.₁₉(C₄xS₃)	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	240		D10.19(C4xS3)	480,470
D₁₀.₂₀(C₄xS₃) = S₃xD₅:C₈	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120	8	D10.20(C4xS3)	480,986
D₁₀.₂₁(C₄xS₃) = S₃xC₄.F₅	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120	8	D10.21(C4xS3)	480,988
D₁₀.₂₂(C₄xS₃) = D₁₅:M₄(2)	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120	8	D10.22(C4xS3)	480,991
D₁₀.₂₃(C₄xS₃) = C₅:C₈:D₆	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120	8	D10.23(C4xS3)	480,993
D₁₀.₂₄(C₄xS₃) = C₂xDic₃xF₅	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120		D10.24(C4xS3)	480,998
D₁₀.₂₅(C₄xS₃) = C₂²:F₅.S₃	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120	8-	D10.25(C4xS3)	480,999
D₁₀.₂₆(C₄xS₃) = C₂xD₆:F₅	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120		D10.26(C4xS3)	480,1000
D₁₀.₂₇(C₄xS₃) = C₂xDic₃:F₅	φ: C₄xS₃/D₆ → C₂ ⊆ Out D₁₀	120		D10.27(C4xS3)	480,1001
D₁₀.₂₈(C₄xS₃) = S₃xC₈xD₅	φ: trivial image	120	4	D10.28(C4xS3)	480,319
D₁₀.₂₉(C₄xS₃) = D₅xC₈:S₃	φ: trivial image	120	4	D10.29(C4xS3)	480,320
D₁₀.₃₀(C₄xS₃) = C₄xD₅xDic₃	φ: trivial image	240		D10.30(C4xS3)	480,467
D₁₀.₃₁(C₄xS₃) = D₅xDic₃:C₄	φ: trivial image	240		D10.31(C4xS3)	480,468
D₁₀.₃₂(C₄xS₃) = D₅xD₆:C₄	φ: trivial image	120		D10.32(C4xS3)	480,547

Extensions 1→N→G→Q→1 with N=D10 and Q=C4xS3

Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₄xS₃