Extensions 1→N→G→Q→1 with N=D₃₀ and Q=C₆

Direct product G=N×Q with N=D₃₀ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×D₁₅		120		C2xC6xD15	360,159

Semidirect products G=N:Q with N=D₃₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀⋊₁C₆ = C₃×D₆₀	φ: C₆/C₃ → C₂ ⊆ Out D₃₀	120	2	D30:1C6	360,102
D₃₀⋊₂C₆ = C₃×C₁₅⋊₇D₄	φ: C₆/C₃ → C₂ ⊆ Out D₃₀	60	2	D30:2C6	360,104
D₃₀⋊₃C₆ = C₃×C₃⋊D₂₀	φ: C₆/C₃ → C₂ ⊆ Out D₃₀	60	4	D30:3C6	360,62
D₃₀⋊₄C₆ = C₃×C₅⋊D₁₂	φ: C₆/C₃ → C₂ ⊆ Out D₃₀	120	4	D30:4C6	360,63
D₃₀⋊₅C₆ = S₃×C₆×D₅	φ: C₆/C₃ → C₂ ⊆ Out D₃₀	60	4	D30:5C6	360,151

Non-split extensions G=N.Q with N=D₃₀ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₀.C₆ = C₃×D₃₀.C₂	φ: C₆/C₃ → C₂ ⊆ Out D₃₀	120	4	D30.C6	360,60
D₃₀.₂C₆ = C₁₂×D₁₅	φ: trivial image	120	2	D30.2C6	360,101

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