Extensions 1→N→G→Q→1 with N=D₁₈ and Q=C₆

Direct product G=N×Q with N=D₁₈ and Q=C₆

		d	ρ	Label	ID
C₂×C₆×D₉		72		C2xC6xD9	216,108

Semidirect products G=N:Q with N=D₁₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈⋊₁C₆ = D₃₆⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out D₁₈	36	6+	D18:1C6	216,54
D₁₈⋊₂C₆ = Dic₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₁₈	36	6	D18:2C6	216,62
D₁₈⋊₃C₆ = C₂²×C₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out D₁₈	36		D18:3C6	216,111
D₁₈⋊₄C₆ = C₃×D₃₆	φ: C₆/C₃ → C₂ ⊆ Out D₁₈	72	2	D18:4C6	216,46
D₁₈⋊₅C₆ = C₃×C₉⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out D₁₈	36	2	D18:5C6	216,57

Non-split extensions G=N.Q with N=D₁₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈.C₆ = C₄×C₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out D₁₈	36	6	D18.C6	216,53
D₁₈.₂C₆ = C₁₂×D₉	φ: trivial image	72	2	D18.2C6	216,45

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