Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×D₄

Direct product G=N×Q with N=C₂² and Q=C₅×D₄

		d	ρ	Label	ID
D₄×C₂×C₁₀		80		D4xC2xC10	160,229

Semidirect products G=N:Q with N=C₂² and Q=C₅×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(C₅×D₄) = C₅×C₄⋊D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2:1(C5xD4)	160,182
C₂²⋊₂(C₅×D₄) = C₅×C₂²≀C₂	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₂²	40		C2^2:2(C5xD4)	160,181

Non-split extensions G=N.Q with N=C₂² and Q=C₅×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₅×D₄) = C₅×C₄○D₈	φ: C₅×D₄/C₂₀ → C₂ ⊆ Aut C₂²	80	2	C2^2.1(C5xD4)	160,196
C₂².₂(C₅×D₄) = C₅×C₂³⋊C₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.2(C5xD4)	160,49
C₂².₃(C₅×D₄) = C₅×C₄≀C₂	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₂²	40	2	C2^2.3(C5xD4)	160,54
C₂².₄(C₅×D₄) = C₅×C₂².D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₂²	80		C2^2.4(C5xD4)	160,184
C₂².₅(C₅×D₄) = C₅×C₈⋊C₂²	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₂²	40	4	C2^2.5(C5xD4)	160,197
C₂².₆(C₅×D₄) = C₅×C₈.C₂²	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.6(C5xD4)	160,198
C₂².₇(C₅×D₄) = C₅×C₂.C₄²	central extension (φ=1)	160		C2^2.7(C5xD4)	160,45
C₂².₈(C₅×D₄) = C₅×D₄⋊C₄	central extension (φ=1)	80		C2^2.8(C5xD4)	160,52
C₂².₉(C₅×D₄) = C₅×Q₈⋊C₄	central extension (φ=1)	160		C2^2.9(C5xD4)	160,53
C₂².₁₀(C₅×D₄) = C₅×C₄.Q₈	central extension (φ=1)	160		C2^2.10(C5xD4)	160,56
C₂².₁₁(C₅×D₄) = C₅×C₂.D₈	central extension (φ=1)	160		C2^2.11(C5xD4)	160,57
C₂².₁₂(C₅×D₄) = C₁₀×C₂²⋊C₄	central extension (φ=1)	80		C2^2.12(C5xD4)	160,176
C₂².₁₃(C₅×D₄) = C₁₀×C₄⋊C₄	central extension (φ=1)	160		C2^2.13(C5xD4)	160,177
C₂².₁₄(C₅×D₄) = C₁₀×D₈	central extension (φ=1)	80		C2^2.14(C5xD4)	160,193
C₂².₁₅(C₅×D₄) = C₁₀×SD₁₆	central extension (φ=1)	80		C2^2.15(C5xD4)	160,194
C₂².₁₆(C₅×D₄) = C₁₀×Q₁₆	central extension (φ=1)	160		C2^2.16(C5xD4)	160,195

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