Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×D₈

Direct product G=N×Q with N=C₂² and Q=C₅×D₈

		d	ρ	Label	ID
D₈×C₂×C₁₀		160		D8xC2xC10	320,1571

Semidirect products G=N:Q with N=C₂² and Q=C₅×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₅×D₈) = C₅×C₈⋊₇D₄	φ: C₅×D₈/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:1(C5xD8)	320,967
C₂²⋊₂(C₅×D₈) = C₅×C₂²⋊D₈	φ: C₅×D₈/C₅×D₄ → C₂ ⊆ Aut C₂²	80		C2^2:2(C5xD8)	320,948

Non-split extensions G=N.Q with N=C₂² and Q=C₅×D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₅×D₈) = C₅×C₄○D₁₆	φ: C₅×D₈/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.1(C5xD8)	320,1009
C₂².₂(C₅×D₈) = C₅×C₂².SD₁₆	φ: C₅×D₈/C₅×D₄ → C₂ ⊆ Aut C₂²	80		C2^2.2(C5xD8)	320,132
C₂².₃(C₅×D₈) = C₅×D₈⋊₂C₄	φ: C₅×D₈/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.3(C5xD8)	320,165
C₂².₄(C₅×D₈) = C₅×C₂².D₈	φ: C₅×D₈/C₅×D₄ → C₂ ⊆ Aut C₂²	160		C2^2.4(C5xD8)	320,981
C₂².₅(C₅×D₈) = C₅×C₁₆⋊C₂²	φ: C₅×D₈/C₅×D₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.5(C5xD8)	320,1010
C₂².₆(C₅×D₈) = C₅×Q₃₂⋊C₂	φ: C₅×D₈/C₅×D₄ → C₂ ⊆ Aut C₂²	160	4	C2^2.6(C5xD8)	320,1011
C₂².₇(C₅×D₈) = C₅×C₂².₄Q₁₆	central extension (φ=1)	320		C2^2.7(C5xD8)	320,145
C₂².₈(C₅×D₈) = C₅×C₂.D₁₆	central extension (φ=1)	160		C2^2.8(C5xD8)	320,162
C₂².₉(C₅×D₈) = C₅×C₂.Q₃₂	central extension (φ=1)	320		C2^2.9(C5xD8)	320,163
C₂².₁₀(C₅×D₈) = C₅×C₁₆⋊₃C₄	central extension (φ=1)	320		C2^2.10(C5xD8)	320,171
C₂².₁₁(C₅×D₈) = C₅×C₁₆⋊₄C₄	central extension (φ=1)	320		C2^2.11(C5xD8)	320,172
C₂².₁₂(C₅×D₈) = C₁₀×D₄⋊C₄	central extension (φ=1)	160		C2^2.12(C5xD8)	320,915
C₂².₁₃(C₅×D₈) = C₁₀×C₂.D₈	central extension (φ=1)	320		C2^2.13(C5xD8)	320,927
C₂².₁₄(C₅×D₈) = C₁₀×D₁₆	central extension (φ=1)	160		C2^2.14(C5xD8)	320,1006
C₂².₁₅(C₅×D₈) = C₁₀×SD₃₂	central extension (φ=1)	160		C2^2.15(C5xD8)	320,1007
C₂².₁₆(C₅×D₈) = C₁₀×Q₃₂	central extension (φ=1)	320		C2^2.16(C5xD8)	320,1008

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