Extensions 1→N→G→Q→1 with N=C₂² and Q=D₅⋊C₈

Direct product G=N×Q with N=C₂² and Q=D₅⋊C₈

		d	ρ	Label	ID
C₂²×D₅⋊C₈		160		C2^2xD5:C8	320,1587

Semidirect products G=N:Q with N=C₂² and Q=D₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(D₅⋊C₈) = C₅⋊C₈⋊₈D₄	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₂²	160		C2^2:1(D5:C8)	320,1030
C₂²⋊₂(D₅⋊C₈) = D₁₀.₁₁M₄(2)	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₂²	80		C2^2:2(D5:C8)	320,1091

Non-split extensions G=N.Q with N=C₂² and Q=D₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₅⋊C₈) = Dic₁₀.C₈	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₂²	160	8	C2^2.1(D5:C8)	320,1063
C₂².₂(D₅⋊C₈) = C₂₀.₁₀M₄(2)	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.2(D5:C8)	320,229
C₂².₃(D₅⋊C₈) = (C₂²×C₄).F₅	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₂²	160		C2^2.3(D5:C8)	320,252
C₂².₄(D₅⋊C₈) = C₅⋊(C₂³⋊C₈)	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₂²	80		C2^2.4(D5:C8)	320,253
C₂².₅(D₅⋊C₈) = D₅⋊M₅(2)	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.5(D5:C8)	320,1053
C₂².₆(D₅⋊C₈) = C₂₀.₃₄M₄(2)	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₂²	160		C2^2.6(D5:C8)	320,1092
C₂².₇(D₅⋊C₈) = Dic₅⋊C₁₆	central extension (φ=1)	320		C2^2.7(D5:C8)	320,223
C₂².₈(D₅⋊C₈) = C₄₀.C₈	central extension (φ=1)	320		C2^2.8(D5:C8)	320,224
C₂².₉(D₅⋊C₈) = D₁₀⋊C₁₆	central extension (φ=1)	160		C2^2.9(D5:C8)	320,225
C₂².₁₀(D₅⋊C₈) = C₁₀.M₅(2)	central extension (φ=1)	320		C2^2.10(D5:C8)	320,226
C₂².₁₁(D₅⋊C₈) = C₁₀.(C₄⋊C₈)	central extension (φ=1)	320		C2^2.11(D5:C8)	320,256
C₂².₁₂(D₅⋊C₈) = C₂×D₅⋊C₁₆	central extension (φ=1)	160		C2^2.12(D5:C8)	320,1051
C₂².₁₃(D₅⋊C₈) = C₂×C₈.F₅	central extension (φ=1)	160		C2^2.13(D5:C8)	320,1052
C₂².₁₄(D₅⋊C₈) = C₂×C₄×C₅⋊C₈	central extension (φ=1)	320		C2^2.14(D5:C8)	320,1084
C₂².₁₅(D₅⋊C₈) = C₂×D₁₀⋊C₈	central extension (φ=1)	160		C2^2.15(D5:C8)	320,1089
C₂².₁₆(D₅⋊C₈) = C₂×Dic₅⋊C₈	central extension (φ=1)	320		C2^2.16(D5:C8)	320,1090

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