Extensions 1→N→G→Q→1 with N=C₂² and Q=D₆₀

Direct product G=N×Q with N=C₂² and Q=D₆₀

		d	ρ	Label	ID
C₂²×D₆₀		240		C2^2xD60	480,1167

Semidirect products G=N:Q with N=C₂² and Q=D₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₆₀ = C₂₀⋊S₄	φ: D₆₀/C₂₀ → S₃ ⊆ Aut C₂²	60	6+	C2^2:D60	480,1026
C₂²⋊₂D₆₀ = C₆₀⋊₂₉D₄	φ: D₆₀/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2D60	480,895
C₂²⋊₃D₆₀ = D₃₀⋊₁₆D₄	φ: D₆₀/D₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:3D60	480,847

Non-split extensions G=N.Q with N=C₂² and Q=D₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₆₀ = C₄₀.₆₉D₆	φ: D₆₀/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.1D60	480,869
C₂².₂D₆₀ = C₂³.₆D₃₀	φ: D₆₀/D₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.2D60	480,166
C₂².₃D₆₀ = D₆₀⋊₁₀C₄	φ: D₆₀/D₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.3D60	480,185
C₂².₄D₆₀ = C₂².D₆₀	φ: D₆₀/D₃₀ → C₂ ⊆ Aut C₂²	240		C2^2.4D60	480,851
C₂².₅D₆₀ = C₈⋊D₃₀	φ: D₆₀/D₃₀ → C₂ ⊆ Aut C₂²	120	4+	C2^2.5D60	480,873
C₂².₆D₆₀ = C₈.D₃₀	φ: D₆₀/D₃₀ → C₂ ⊆ Aut C₂²	240	4-	C2^2.6D60	480,874
C₂².₇D₆₀ = Dic₃₀⋊₈C₄	central extension (φ=1)	480		C2^2.7D60	480,176
C₂².₈D₆₀ = C₁₂₀⋊₁₀C₄	central extension (φ=1)	480		C2^2.8D60	480,177
C₂².₉D₆₀ = C₁₂₀⋊₉C₄	central extension (φ=1)	480		C2^2.9D60	480,178
C₂².₁₀D₆₀ = D₆₀⋊₈C₄	central extension (φ=1)	240		C2^2.10D60	480,181
C₂².₁₁D₆₀ = C₃₀.₂₉C₄²	central extension (φ=1)	480		C2^2.11D60	480,191
C₂².₁₂D₆₀ = C₂×C₂₄⋊D₅	central extension (φ=1)	240		C2^2.12D60	480,867
C₂².₁₃D₆₀ = C₂×D₁₂₀	central extension (φ=1)	240		C2^2.13D60	480,868
C₂².₁₄D₆₀ = C₂×Dic₆₀	central extension (φ=1)	480		C2^2.14D60	480,870
C₂².₁₅D₆₀ = C₂×C₆₀⋊₅C₄	central extension (φ=1)	480		C2^2.15D60	480,890
C₂².₁₆D₆₀ = C₂×D₃₀⋊₃C₄	central extension (φ=1)	240		C2^2.16D60	480,892

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