Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄⋊D₅

Direct product G=N×Q with N=C₂² and Q=D₄⋊D₅

		d	ρ	Label	ID
C₂²×D₄⋊D₅		160		C2^2xD4:D5	320,1464

Semidirect products G=N:Q with N=C₂² and Q=D₄⋊D₅

extension	φ:Q→Aut N	d	Label	ID
C₂²⋊₁(D₄⋊D₅) = (C₂×C₁₀)⋊D₈	φ: D₄⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160	C2^2:1(D4:D5)	320,665
C₂²⋊₂(D₄⋊D₅) = D₂₀⋊₁₆D₄	φ: D₄⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	80	C2^2:2(D4:D5)	320,663
C₂²⋊₃(D₄⋊D₅) = (C₂×C₁₀)⋊₈D₈	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	80	C2^2:3(D4:D5)	320,844

Non-split extensions G=N.Q with N=C₂² and Q=D₄⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄⋊D₅) = C₄₀.₃₀C₂³	φ: D₄⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160	4	C2^2.1(D4:D5)	320,821
C₂².₂(D₄⋊D₅) = C₄⋊C₄⋊Dic₅	φ: D₄⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.2(D4:D5)	320,95
C₂².₃(D₄⋊D₅) = D₈⋊₂Dic₅	φ: D₄⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.3(D4:D5)	320,124
C₂².₄(D₄⋊D₅) = (C₂×C₁₀).D₈	φ: D₄⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.4(D4:D5)	320,660
C₂².₅(D₄⋊D₅) = D₈⋊D₁₀	φ: D₄⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	80	4+	C2^2.5(D4:D5)	320,820
C₂².₆(D₄⋊D₅) = C₄₀.₃₁C₂³	φ: D₄⋊D₅/D₂₀ → C₂ ⊆ Aut C₂²	160	4-	C2^2.6(D4:D5)	320,822
C₂².₇(D₄⋊D₅) = (C₂×D₂₀)⋊C₄	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	80		C2^2.7(D4:D5)	320,9
C₂².₈(D₄⋊D₅) = D₄₀⋊₁₄C₄	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.8(D4:D5)	320,46
C₂².₉(D₄⋊D₅) = (C₂×C₁₀).₄₀D₈	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	160		C2^2.9(D4:D5)	320,594
C₂².₁₀(D₄⋊D₅) = D₈.D₁₀	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.10(D4:D5)	320,774
C₂².₁₁(D₄⋊D₅) = Q₁₆.D₁₀	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₂²	160	4	C2^2.11(D4:D5)	320,806
C₂².₁₂(D₄⋊D₅) = C₄₀.₂Q₈	central extension (φ=1)	320		C2^2.12(D4:D5)	320,47
C₂².₁₃(D₄⋊D₅) = C₁₀.SD₃₂	central extension (φ=1)	320		C2^2.13(D4:D5)	320,48
C₂².₁₄(D₄⋊D₅) = C₄₀.₅D₄	central extension (φ=1)	160		C2^2.14(D4:D5)	320,49
C₂².₁₅(D₄⋊D₅) = C₁₀.Q₃₂	central extension (φ=1)	320		C2^2.15(D4:D5)	320,50
C₂².₁₆(D₄⋊D₅) = C₂₀.₃₁C₄²	central extension (φ=1)	320		C2^2.16(D4:D5)	320,87
C₂².₁₇(D₄⋊D₅) = C₁₀.D₁₆	central extension (φ=1)	160		C2^2.17(D4:D5)	320,120
C₂².₁₈(D₄⋊D₅) = C₄₀.₁₅D₄	central extension (φ=1)	320		C2^2.18(D4:D5)	320,122
C₂².₁₉(D₄⋊D₅) = C₂×C₁₀.D₈	central extension (φ=1)	320		C2^2.19(D4:D5)	320,589
C₂².₂₀(D₄⋊D₅) = C₂×D₂₀⋊₆C₄	central extension (φ=1)	160		C2^2.20(D4:D5)	320,592
C₂².₂₁(D₄⋊D₅) = C₂×C₅⋊D₁₆	central extension (φ=1)	160		C2^2.21(D4:D5)	320,773
C₂².₂₂(D₄⋊D₅) = C₂×D₈.D₅	central extension (φ=1)	160		C2^2.22(D4:D5)	320,775
C₂².₂₃(D₄⋊D₅) = C₂×C₅⋊SD₃₂	central extension (φ=1)	160		C2^2.23(D4:D5)	320,805
C₂².₂₄(D₄⋊D₅) = C₂×C₅⋊Q₃₂	central extension (φ=1)	320		C2^2.24(D4:D5)	320,807
C₂².₂₅(D₄⋊D₅) = C₂×D₄⋊Dic₅	central extension (φ=1)	160		C2^2.25(D4:D5)	320,841

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Extensions 1→N→G→Q→1 with N=C22 and Q=D4⋊D5

Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄⋊D₅