Extensions 1→N→G→Q→1 with N=C₄ and Q=D₃₀

Direct product G=N×Q with N=C₄ and Q=D₃₀

		d	ρ	Label	ID
C₂×C₄×D₁₅		120		C2xC4xD15	240,176

Semidirect products G=N:Q with N=C₄ and Q=D₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁D₃₀ = D₄×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₄	60	4+	C4:1D30	240,179
C₄⋊₂D₃₀ = C₂×D₆₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₄	120		C4:2D30	240,177

Non-split extensions G=N.Q with N=C₄ and Q=D₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁D₃₀ = D₄⋊D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₄	120	4+	C4.1D30	240,76
C₄.₂D₃₀ = D₄.D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₄	120	4-	C4.2D30	240,77
C₄.₃D₃₀ = Q₈⋊₂D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₄	120	4+	C4.3D30	240,78
C₄.₄D₃₀ = C₁₅⋊₇Q₁₆	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₄	240	4-	C4.4D30	240,79
C₄.₅D₃₀ = D₄⋊₂D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₄	120	4-	C4.5D30	240,180
C₄.₆D₃₀ = Q₈×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₄	120	4-	C4.6D30	240,181
C₄.₇D₃₀ = Q₈⋊₃D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Aut C₄	120	4+	C4.7D30	240,182
C₄.₈D₃₀ = C₂₄⋊D₅	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.8D30	240,67
C₄.₉D₃₀ = D₁₂₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₄	120	2+	C4.9D30	240,68
C₄.₁₀D₃₀ = Dic₆₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₄	240	2-	C4.10D30	240,69
C₄.₁₁D₃₀ = C₂×Dic₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Aut C₄	240		C4.11D30	240,175
C₄.₁₂D₃₀ = C₈×D₁₅	central extension (φ=1)	120	2	C4.12D30	240,65
C₄.₁₃D₃₀ = C₄₀⋊S₃	central extension (φ=1)	120	2	C4.13D30	240,66
C₄.₁₄D₃₀ = C₂×C₁₅⋊₃C₈	central extension (φ=1)	240		C4.14D30	240,70
C₄.₁₅D₃₀ = C₆₀.₇C₄	central extension (φ=1)	120	2	C4.15D30	240,71
C₄.₁₆D₃₀ = D₆₀⋊₁₁C₂	central extension (φ=1)	120	2	C4.16D30	240,178

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