Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄.F₅

Direct product G=N×Q with N=C₂² and Q=C₄.F₅

		d	ρ	Label	ID
C₂²×C₄.F₅		160		C2^2xC4.F5	320,1588

Semidirect products G=N:Q with N=C₂² and Q=C₄.F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₄.F₅) = C₅⋊C₈⋊D₄	φ: C₄.F₅/C₅⋊C₈ → C₂ ⊆ Aut C₂²	160		C2^2:1(C4.F5)	320,1031
C₂²⋊₂(C₄.F₅) = D₁₀⋊₁₀M₄(2)	φ: C₄.F₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80		C2^2:2(C4.F5)	320,1094

Non-split extensions G=N.Q with N=C₂² and Q=C₄.F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄.F₅) = D₂₀.C₈	φ: C₄.F₅/C₅⋊C₈ → C₂ ⊆ Aut C₂²	160	8	C2^2.1(C4.F5)	320,236
C₂².₂(C₄.F₅) = C₄₀.₁C₈	φ: C₄.F₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.2(C4.F5)	320,227
C₂².₃(C₄.F₅) = C₂₀.₂₃C₄²	φ: C₄.F₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80	4	C2^2.3(C4.F5)	320,228
C₂².₄(C₄.F₅) = (C₂²×C₄).F₅	φ: C₄.F₅/C₄×D₅ → C₂ ⊆ Aut C₂²	160		C2^2.4(C4.F5)	320,252
C₂².₅(C₄.F₅) = C₅⋊(C₂³⋊C₈)	φ: C₄.F₅/C₄×D₅ → C₂ ⊆ Aut C₂²	80		C2^2.5(C4.F5)	320,253
C₂².₆(C₄.F₅) = C₂₀.₃₀M₄(2)	φ: C₄.F₅/C₄×D₅ → C₂ ⊆ Aut C₂²	160		C2^2.6(C4.F5)	320,1097
C₂².₇(C₄.F₅) = C₁₀.(C₄⋊C₈)	central extension (φ=1)	320		C2^2.7(C4.F5)	320,256
C₂².₈(C₄.F₅) = C₂×C₂₀⋊C₈	central extension (φ=1)	320		C2^2.8(C4.F5)	320,1085
C₂².₉(C₄.F₅) = C₂×C₁₀.C₄²	central extension (φ=1)	320		C2^2.9(C4.F5)	320,1087
C₂².₁₀(C₄.F₅) = C₂×D₁₀⋊C₈	central extension (φ=1)	160		C2^2.10(C4.F5)	320,1089

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