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

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

		d	ρ	Label	ID
C₂²×C₈⋊D₅		160		C2^2xC8:D5	320,1409

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₈⋊D₅) = C₅⋊₂C₈⋊₂₆D₄	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160		C2^2:1(C8:D5)	320,357
C₂²⋊₂(C₈⋊D₅) = C₄₀⋊₃₂D₄	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₂²	160		C2^2:2(C8:D5)	320,738
C₂²⋊₃(C₈⋊D₅) = D₁₀⋊₇M₄(2)	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80		C2^2:3(C8:D5)	320,353

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₈⋊D₅) = D₂₀.₄C₈	φ: C₈⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₂²	160	4	C2^2.1(C8:D5)	320,73
C₂².₂(C₈⋊D₅) = D₂₀.₃C₈	φ: C₈⋊D₅/C₄₀ → C₂ ⊆ Aut C₂²	160	2	C2^2.2(C8:D5)	320,66
C₂².₃(C₈⋊D₅) = C₅⋊₃(C₂³⋊C₈)	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80		C2^2.3(C8:D5)	320,26
C₂².₄(C₈⋊D₅) = (C₂×Dic₅)⋊C₈	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	160		C2^2.4(C8:D5)	320,27
C₂².₅(C₈⋊D₅) = C₄₀.₉Q₈	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.5(C8:D5)	320,69
C₂².₆(C₈⋊D₅) = C₈₀⋊C₄	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.6(C8:D5)	320,70
C₂².₇(C₈⋊D₅) = Dic₅.₉M₄(2)	φ: C₈⋊D₅/C₄×D₅ → C₂ ⊆ Aut C₂²	160		C2^2.7(C8:D5)	320,346
C₂².₈(C₈⋊D₅) = (C₂×C₄₀)⋊₁₅C₄	central extension (φ=1)	320		C2^2.8(C8:D5)	320,108
C₂².₉(C₈⋊D₅) = C₂×C₂₀.₈Q₈	central extension (φ=1)	320		C2^2.9(C8:D5)	320,726
C₂².₁₀(C₈⋊D₅) = C₂×C₄₀⋊₈C₄	central extension (φ=1)	320		C2^2.10(C8:D5)	320,727
C₂².₁₁(C₈⋊D₅) = C₂×D₁₀⋊₁C₈	central extension (φ=1)	160		C2^2.11(C8:D5)	320,735

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