Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄xDic₅

Direct product G=NxQ with N=C₄ and Q=C₄xDic₅

		d	ρ	Label	ID
C₄²xDic₅		320		C4^2xDic5	320,557

Semidirect products G=N:Q with N=C₄ and Q=C₄xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₄xDic₅) = C₄:C₄xDic₅	φ: C₄xDic₅/C₂xDic₅ → C₂ ⊆ Aut C₄	320		C4:1(C4xDic5)	320,602
C₄:₂(C₄xDic₅) = C₄xC₄:Dic₅	φ: C₄xDic₅/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4:2(C4xDic5)	320,561

Non-split extensions G=N.Q with N=C₄ and Q=C₄xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄xDic₅) = C₂₀.₃₁C₄²	φ: C₄xDic₅/C₂xDic₅ → C₂ ⊆ Aut C₄	320		C4.1(C4xDic5)	320,87
C₄.₂(C₄xDic₅) = C₂₀.₃₂C₄²	φ: C₄xDic₅/C₂xDic₅ → C₂ ⊆ Aut C₄	80		C4.2(C4xDic5)	320,90
C₄.₃(C₄xDic₅) = C₂₀.₃₃C₄²	φ: C₄xDic₅/C₂xDic₅ → C₂ ⊆ Aut C₄	80		C4.3(C4xDic5)	320,113
C₄.₄(C₄xDic₅) = C₂₀.₃₄C₄²	φ: C₄xDic₅/C₂xDic₅ → C₂ ⊆ Aut C₄	160		C4.4(C4xDic5)	320,116
C₄.₅(C₄xDic₅) = C₂₀.₃₅C₄²	φ: C₄xDic₅/C₂xDic₅ → C₂ ⊆ Aut C₄	160		C4.5(C4xDic5)	320,624
C₄.₆(C₄xDic₅) = M₄(2)xDic₅	φ: C₄xDic₅/C₂xDic₅ → C₂ ⊆ Aut C₄	160		C4.6(C4xDic5)	320,744
C₄.₇(C₄xDic₅) = C₂₀.₃₇C₄²	φ: C₄xDic₅/C₂xDic₅ → C₂ ⊆ Aut C₄	160		C4.7(C4xDic5)	320,749
C₄.₈(C₄xDic₅) = C₄²:₆Dic₅	φ: C₄xDic₅/C₂xC₂₀ → C₂ ⊆ Aut C₄	80		C4.8(C4xDic5)	320,81
C₄.₉(C₄xDic₅) = C₂₀.₃₉C₄²	φ: C₄xDic₅/C₂xC₂₀ → C₂ ⊆ Aut C₄	320		C4.9(C4xDic5)	320,109
C₄.₁₀(C₄xDic₅) = C₂₀.₄₀C₄²	φ: C₄xDic₅/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.10(C4xDic5)	320,110
C₄.₁₁(C₄xDic₅) = C₄xC₄.Dic₅	φ: C₄xDic₅/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.11(C4xDic5)	320,549
C₄.₁₂(C₄xDic₅) = C₂₀.₄₂C₄²	φ: C₄xDic₅/C₂xC₂₀ → C₂ ⊆ Aut C₄	160		C4.12(C4xDic5)	320,728
C₄.₁₃(C₄xDic₅) = C₄xC₅:₂C₁₆	central extension (φ=1)	320		C4.13(C4xDic5)	320,18
C₄.₁₄(C₄xDic₅) = C₄₀.₁₀C₈	central extension (φ=1)	320		C4.14(C4xDic5)	320,19
C₄.₁₅(C₄xDic₅) = C₁₆xDic₅	central extension (φ=1)	320		C4.15(C4xDic5)	320,58
C₄.₁₆(C₄xDic₅) = C₈₀:₁₇C₄	central extension (φ=1)	320		C4.16(C4xDic5)	320,60
C₄.₁₇(C₄xDic₅) = C₂xC₄xC₅:₂C₈	central extension (φ=1)	320		C4.17(C4xDic5)	320,547
C₄.₁₈(C₄xDic₅) = C₂xC₄².D₅	central extension (φ=1)	320		C4.18(C4xDic5)	320,548
C₄.₁₉(C₄xDic₅) = C₄²:₄Dic₅	central extension (φ=1)	320		C4.19(C4xDic5)	320,559
C₄.₂₀(C₄xDic₅) = C₂xC₈xDic₅	central extension (φ=1)	320		C4.20(C4xDic5)	320,725
C₄.₂₁(C₄xDic₅) = C₂xC₄₀:₈C₄	central extension (φ=1)	320		C4.21(C4xDic5)	320,727
C₄.₂₂(C₄xDic₅) = C₂₀.₄₅C₄²	central stem extension (φ=1)	80	4	C4.22(C4xDic5)	320,24
C₄.₂₃(C₄xDic₅) = C₈₀:C₄	central stem extension (φ=1)	80	4	C4.23(C4xDic5)	320,70
C₄.₂₄(C₄xDic₅) = C₄²:₁Dic₅	central stem extension (φ=1)	80	4	C4.24(C4xDic5)	320,89
C₄.₂₅(C₄xDic₅) = C₂³.₉D₂₀	central stem extension (φ=1)	80	4	C4.25(C4xDic5)	320,115
C₄.₂₆(C₄xDic₅) = C₂₀.₅₁C₄²	central stem extension (φ=1)	80	4	C4.26(C4xDic5)	320,118

Extensions 1→N→G→Q→1 with N=C4 and Q=C4xDic5

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄xDic₅