Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂xDic₅

Direct product G=NxQ with N=C₈ and Q=C₂xDic₅

		d	ρ	Label	ID
C₂xC₈xDic₅		320		C2xC8xDic5	320,725

Semidirect products G=N:Q with N=C₈ and Q=C₂xDic₅

extension	φ:Q→Aut N	d	Label	ID
C₈:₁(C₂xDic₅) = C₂³.₄₇D₂₀	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	160	C8:1(C2xDic5)	320,748
C₈:₂(C₂xDic₅) = D₈:Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	160	C8:2(C2xDic5)	320,779
C₈:₃(C₂xDic₅) = SD₁₆:Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	160	C8:3(C2xDic5)	320,791
C₈:₄(C₂xDic₅) = D₈xDic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	160	C8:4(C2xDic5)	320,776
C₈:₅(C₂xDic₅) = SD₁₆xDic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	160	C8:5(C2xDic5)	320,788
C₈:₆(C₂xDic₅) = M₄(2)xDic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	160	C8:6(C2xDic5)	320,744
C₈:₇(C₂xDic₅) = C₂xC₄₀:₅C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	320	C8:7(C2xDic5)	320,732
C₈:₈(C₂xDic₅) = C₂xC₄₀:₆C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	320	C8:8(C2xDic5)	320,731
C₈:₉(C₂xDic₅) = C₂xC₄₀:₈C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	320	C8:9(C2xDic5)	320,727

Non-split extensions G=N.Q with N=C₈ and Q=C₂xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂xDic₅) = D₈.Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.1(C2xDic5)	320,121
C₈.₂(C₂xDic₅) = Q₁₆.Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	160	4	C8.2(C2xDic5)	320,123
C₈.₃(C₂xDic₅) = D₈:₂Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.3(C2xDic5)	320,124
C₈.₄(C₂xDic₅) = M₄(2).Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.4(C2xDic5)	320,752
C₈.₅(C₂xDic₅) = Q₁₆:Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	320		C8.5(C2xDic5)	320,811
C₈.₆(C₂xDic₅) = D₈:₄Dic₅	φ: C₂xDic₅/C₁₀ → C₂² ⊆ Aut C₈	80	4	C8.6(C2xDic5)	320,824
C₈.₇(C₂xDic₅) = C₁₀.D₁₆	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	160		C8.7(C2xDic5)	320,120
C₈.₈(C₂xDic₅) = C₄₀.₁₅D₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	320		C8.8(C2xDic5)	320,122
C₈.₉(C₂xDic₅) = C₂₀.₅₈D₈	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	160	4	C8.9(C2xDic5)	320,125
C₈.₁₀(C₂xDic₅) = Q₁₆xDic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	320		C8.10(C2xDic5)	320,810
C₈.₁₁(C₂xDic₅) = D₈:₅Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	80	4	C8.11(C2xDic5)	320,823
C₈.₁₂(C₂xDic₅) = C₂₀.₃₇C₄²	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	160		C8.12(C2xDic5)	320,749
C₈.₁₃(C₂xDic₅) = C₄₀.₇₀C₂³	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Aut C₈	160	4	C8.13(C2xDic5)	320,767
C₈.₁₄(C₂xDic₅) = C₈₀:₁₃C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	320		C8.14(C2xDic5)	320,62
C₈.₁₅(C₂xDic₅) = C₈₀:₁₄C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	320		C8.15(C2xDic5)	320,63
C₈.₁₆(C₂xDic₅) = C₈₀.₆C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	160	2	C8.16(C2xDic5)	320,64
C₈.₁₇(C₂xDic₅) = C₂³.₂₂D₂₀	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	160		C8.17(C2xDic5)	320,733
C₈.₁₈(C₂xDic₅) = C₄₀.Q₈	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	80	4	C8.18(C2xDic5)	320,71
C₈.₁₉(C₂xDic₅) = C₂xC₄₀.₆C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	160		C8.19(C2xDic5)	320,734
C₈.₂₀(C₂xDic₅) = C₈₀:C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Aut C₈	80	4	C8.20(C2xDic5)	320,70
C₈.₂₁(C₂xDic₅) = C₂xC₅:₂C₃₂	central extension (φ=1)	320		C8.21(C2xDic5)	320,56
C₈.₂₂(C₂xDic₅) = C₈₀.₉C₄	central extension (φ=1)	160	2	C8.22(C2xDic5)	320,57
C₈.₂₃(C₂xDic₅) = C₁₆xDic₅	central extension (φ=1)	320		C8.23(C2xDic5)	320,58
C₈.₂₄(C₂xDic₅) = C₈₀:₁₇C₄	central extension (φ=1)	320		C8.24(C2xDic5)	320,60
C₈.₂₅(C₂xDic₅) = C₂²xC₅:₂C₁₆	central extension (φ=1)	320		C8.25(C2xDic5)	320,723
C₈.₂₆(C₂xDic₅) = C₂xC₂₀.₄C₈	central extension (φ=1)	160		C8.26(C2xDic5)	320,724
C₈.₂₇(C₂xDic₅) = C₂₀.₄₂C₄²	central extension (φ=1)	160		C8.27(C2xDic5)	320,728

Extensions 1→N→G→Q→1 with N=C8 and Q=C2xDic5

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂xDic₅