Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃xC₄oD₄

Direct product G=NxQ with N=C₁₀ and Q=C₃xC₄oD₄

		d	ρ	Label	ID
C₄oD₄xC₃₀		240		C4oD4xC30	480,1183

Semidirect products G=N:Q with N=C₁₀ and Q=C₃xC₄oD₄

extension	φ:Q→Aut N	d	Label	ID
C₁₀:₁(C₃xC₄oD₄) = C₆xC₄oD₂₀	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10:1(C3xC4oD4)	480,1138
C₁₀:₂(C₃xC₄oD₄) = C₆xD₄:₂D₅	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10:2(C3xC4oD4)	480,1140
C₁₀:₃(C₃xC₄oD₄) = C₆xQ₈:₂D₅	φ: C₃xC₄oD₄/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10:3(C3xC4oD4)	480,1143

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃xC₄oD₄

extension	φ:Q→Aut N	d	Label	ID
C₁₀.₁(C₃xC₄oD₄) = C₁₂xDic₁₀	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	480	C10.1(C3xC4oD4)	480,661
C₁₀.₂(C₃xC₄oD₄) = C₃xC₂₀.₆Q₈	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	480	C10.2(C3xC4oD4)	480,663
C₁₀.₃(C₃xC₄oD₄) = C₃xC₄²:D₅	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.3(C3xC4oD4)	480,665
C₁₀.₄(C₃xC₄oD₄) = C₁₂xD₂₀	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.4(C3xC4oD4)	480,666
C₁₀.₅(C₃xC₄oD₄) = C₃xC₄.D₂₀	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.5(C3xC4oD4)	480,668
C₁₀.₆(C₃xC₄oD₄) = C₃xC₄²:₂D₅	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.6(C3xC4oD4)	480,669
C₁₀.₇(C₃xC₄oD₄) = C₃xD₁₀.₁₂D₄	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.7(C3xC4oD4)	480,676
C₁₀.₈(C₃xC₄oD₄) = C₃xD₁₀:D₄	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.8(C3xC4oD4)	480,677
C₁₀.₉(C₃xC₄oD₄) = C₃xDic₅.₅D₄	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.9(C3xC4oD4)	480,678
C₁₀.₁₀(C₃xC₄oD₄) = C₃xDic₅.Q₈	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	480	C10.10(C3xC4oD4)	480,682
C₁₀.₁₁(C₃xC₄oD₄) = C₃xD₁₀.₁₃D₄	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.11(C3xC4oD4)	480,687
C₁₀.₁₂(C₃xC₄oD₄) = C₃xD₁₀:Q₈	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.12(C3xC4oD4)	480,689
C₁₀.₁₃(C₃xC₄oD₄) = C₃xC₂₀.₄₈D₄	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.13(C3xC4oD4)	480,717
C₁₀.₁₄(C₃xC₄oD₄) = C₃xC₂³.₂₁D₁₀	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.14(C3xC4oD4)	480,719
C₁₀.₁₅(C₃xC₄oD₄) = C₁₂xC₅:D₄	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.15(C3xC4oD4)	480,721
C₁₀.₁₆(C₃xC₄oD₄) = C₃xC₂³.₂₃D₁₀	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.16(C3xC4oD4)	480,722
C₁₀.₁₇(C₃xC₄oD₄) = C₃xC₂₀:₇D₄	φ: C₃xC₄oD₄/C₂xC₁₂ → C₂ ⊆ Aut C₁₀	240	C10.17(C3xC4oD4)	480,723
C₁₀.₁₈(C₃xC₄oD₄) = C₃xC₂³.₁₁D₁₀	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.18(C3xC4oD4)	480,670
C₁₀.₁₉(C₃xC₄oD₄) = C₃xDic₅.₁₄D₄	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.19(C3xC4oD4)	480,671
C₁₀.₂₀(C₃xC₄oD₄) = C₃xC₂³.D₁₀	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.20(C3xC4oD4)	480,672
C₁₀.₂₁(C₃xC₄oD₄) = C₃xDic₅:₄D₄	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.21(C3xC4oD4)	480,674
C₁₀.₂₂(C₃xC₄oD₄) = C₃xC₂².D₂₀	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.22(C3xC4oD4)	480,679
C₁₀.₂₃(C₃xC₄oD₄) = C₃xDic₅:₃Q₈	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	480	C10.23(C3xC4oD4)	480,680
C₁₀.₂₄(C₃xC₄oD₄) = C₃xC₄:C₄:₇D₅	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.24(C3xC4oD4)	480,685
C₁₀.₂₅(C₃xC₄oD₄) = C₃xD₁₀:₂Q₈	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.25(C3xC4oD4)	480,690
C₁₀.₂₆(C₃xC₄oD₄) = C₃xC₄:C₄:D₅	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.26(C3xC4oD4)	480,691
C₁₀.₂₇(C₃xC₄oD₄) = C₃xD₄xDic₅	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.27(C3xC4oD4)	480,727
C₁₀.₂₈(C₃xC₄oD₄) = C₃xC₂³.₁₈D₁₀	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.28(C3xC4oD4)	480,728
C₁₀.₂₉(C₃xC₄oD₄) = C₃xC₂₀.₁₇D₄	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.29(C3xC4oD4)	480,729
C₁₀.₃₀(C₃xC₄oD₄) = C₃xC₂₀:₂D₄	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.30(C3xC4oD4)	480,731
C₁₀.₃₁(C₃xC₄oD₄) = C₃xDic₅:D₄	φ: C₃xC₄oD₄/C₃xD₄ → C₂ ⊆ Aut C₁₀	240	C10.31(C3xC4oD4)	480,732
C₁₀.₃₂(C₃xC₄oD₄) = C₃xC₄.Dic₁₀	φ: C₃xC₄oD₄/C₃xQ₈ → C₂ ⊆ Aut C₁₀	480	C10.32(C3xC4oD4)	480,683
C₁₀.₃₃(C₃xC₄oD₄) = C₃xD₂₀:₈C₄	φ: C₃xC₄oD₄/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10.33(C3xC4oD4)	480,686
C₁₀.₃₄(C₃xC₄oD₄) = C₃xC₄:D₂₀	φ: C₃xC₄oD₄/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10.34(C3xC4oD4)	480,688
C₁₀.₃₅(C₃xC₄oD₄) = C₃xQ₈xDic₅	φ: C₃xC₄oD₄/C₃xQ₈ → C₂ ⊆ Aut C₁₀	480	C10.35(C3xC4oD4)	480,738
C₁₀.₃₆(C₃xC₄oD₄) = C₃xD₁₀:₃Q₈	φ: C₃xC₄oD₄/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10.36(C3xC4oD4)	480,739
C₁₀.₃₇(C₃xC₄oD₄) = C₃xC₂₀.₂₃D₄	φ: C₃xC₄oD₄/C₃xQ₈ → C₂ ⊆ Aut C₁₀	240	C10.37(C3xC4oD4)	480,740
C₁₀.₃₈(C₃xC₄oD₄) = C₁₅xC₄²:C₂	central extension (φ=1)	240	C10.38(C3xC4oD4)	480,922
C₁₀.₃₉(C₃xC₄oD₄) = D₄xC₆₀	central extension (φ=1)	240	C10.39(C3xC4oD4)	480,923
C₁₀.₄₀(C₃xC₄oD₄) = Q₈xC₆₀	central extension (φ=1)	480	C10.40(C3xC4oD4)	480,924
C₁₀.₄₁(C₃xC₄oD₄) = C₁₅xC₄:D₄	central extension (φ=1)	240	C10.41(C3xC4oD4)	480,926
C₁₀.₄₂(C₃xC₄oD₄) = C₁₅xC₂²:Q₈	central extension (φ=1)	240	C10.42(C3xC4oD4)	480,927
C₁₀.₄₃(C₃xC₄oD₄) = C₁₅xC₂².D₄	central extension (φ=1)	240	C10.43(C3xC4oD4)	480,928
C₁₀.₄₄(C₃xC₄oD₄) = C₁₅xC₄.₄D₄	central extension (φ=1)	240	C10.44(C3xC4oD4)	480,929
C₁₀.₄₅(C₃xC₄oD₄) = C₁₅xC₄².C₂	central extension (φ=1)	480	C10.45(C3xC4oD4)	480,930
C₁₀.₄₆(C₃xC₄oD₄) = C₁₅xC₄²:₂C₂	central extension (φ=1)	240	C10.46(C3xC4oD4)	480,931

Extensions 1→N→G→Q→1 with N=C10 and Q=C3xC4oD4

Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃xC₄oD₄