Extensions 1→N→G→Q→1 with N=C₂² and Q=D₃₀

Direct product G=N×Q with N=C₂² and Q=D₃₀

		d	ρ	Label	ID
C₂³×D₁₅		120		C2^3xD15	240,207

Semidirect products G=N:Q with N=C₂² and Q=D₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊D₃₀ = C₂×C₅⋊S₄	φ: D₃₀/C₁₀ → S₃ ⊆ Aut C₂²	30	6+	C2^2:D30	240,197
C₂²⋊₂D₃₀ = D₄×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂²	60	4+	C2^2:2D30	240,179
C₂²⋊₃D₃₀ = C₂×C₁₅⋊₇D₄	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:3D30	240,184

Non-split extensions G=N.Q with N=C₂² and Q=D₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₃₀ = D₄⋊₂D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₂²	120	4-	C2^2.1D30	240,180
C₂².₂D₃₀ = D₆₀⋊₁₁C₂	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.2D30	240,178
C₂².₃D₃₀ = C₄×Dic₁₅	central extension (φ=1)	240		C2^2.3D30	240,72
C₂².₄D₃₀ = C₃₀.₄Q₈	central extension (φ=1)	240		C2^2.4D30	240,73
C₂².₅D₃₀ = C₆₀⋊₅C₄	central extension (φ=1)	240		C2^2.5D30	240,74
C₂².₆D₃₀ = D₃₀⋊₃C₄	central extension (φ=1)	120		C2^2.6D30	240,75
C₂².₇D₃₀ = C₃₀.₃₈D₄	central extension (φ=1)	120		C2^2.7D30	240,80
C₂².₈D₃₀ = C₂×Dic₃₀	central extension (φ=1)	240		C2^2.8D30	240,175
C₂².₉D₃₀ = C₂×C₄×D₁₅	central extension (φ=1)	120		C2^2.9D30	240,176
C₂².₁₀D₃₀ = C₂×D₆₀	central extension (φ=1)	120		C2^2.10D30	240,177
C₂².₁₁D₃₀ = C₂²×Dic₁₅	central extension (φ=1)	240		C2^2.11D30	240,183

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