Extensions 1→N→G→Q→1 with N=C₁₈ and Q=D₆

Direct product G=N×Q with N=C₁₈ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₁₈		72		S3xC2xC18	216,109

Semidirect products G=N:Q with N=C₁₈ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁D₆ = C₂×S₃×D₉	φ: D₆/S₃ → C₂ ⊆ Aut C₁₈	36	4+	C18:1D6	216,101
C₁₈⋊₂D₆ = C₂²×C₉⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	108		C18:2D6	216,112

Non-split extensions G=N.Q with N=C₁₈ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁D₆ = C₉⋊Dic₆	φ: D₆/S₃ → C₂ ⊆ Aut C₁₈	72	4-	C18.1D6	216,26
C₁₈.₂D₆ = Dic₃×D₉	φ: D₆/S₃ → C₂ ⊆ Aut C₁₈	72	4-	C18.2D6	216,27
C₁₈.₃D₆ = C₁₈.D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₁₈	36	4+	C18.3D6	216,28
C₁₈.₄D₆ = C₃⋊D₃₆	φ: D₆/S₃ → C₂ ⊆ Aut C₁₈	36	4+	C18.4D6	216,29
C₁₈.₅D₆ = S₃×Dic₉	φ: D₆/S₃ → C₂ ⊆ Aut C₁₈	72	4-	C18.5D6	216,30
C₁₈.₆D₆ = D₆⋊D₉	φ: D₆/S₃ → C₂ ⊆ Aut C₁₈	72	4-	C18.6D6	216,31
C₁₈.₇D₆ = C₉⋊D₁₂	φ: D₆/S₃ → C₂ ⊆ Aut C₁₈	36	4+	C18.7D6	216,32
C₁₈.₈D₆ = Dic₅₄	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	216	2-	C18.8D6	216,4
C₁₈.₉D₆ = C₄×D₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	108	2	C18.9D6	216,5
C₁₈.₁₀D₆ = D₁₀₈	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	108	2+	C18.10D6	216,6
C₁₈.₁₁D₆ = C₂×Dic₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	216		C18.11D6	216,7
C₁₈.₁₂D₆ = C₂₇⋊D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	108	2	C18.12D6	216,8
C₁₈.₁₃D₆ = C₂²×D₂₇	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	108		C18.13D6	216,23
C₁₈.₁₄D₆ = C₁₂.D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	216		C18.14D6	216,63
C₁₈.₁₅D₆ = C₄×C₉⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	108		C18.15D6	216,64
C₁₈.₁₆D₆ = C₃₆⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	108		C18.16D6	216,65
C₁₈.₁₇D₆ = C₂×C₉⋊Dic₃	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	216		C18.17D6	216,69
C₁₈.₁₈D₆ = C₆.D₁₈	φ: D₆/C₆ → C₂ ⊆ Aut C₁₈	108		C18.18D6	216,70
C₁₈.₁₉D₆ = C₉×Dic₆	central extension (φ=1)	72	2	C18.19D6	216,44
C₁₈.₂₀D₆ = S₃×C₃₆	central extension (φ=1)	72	2	C18.20D6	216,47
C₁₈.₂₁D₆ = C₉×D₁₂	central extension (φ=1)	72	2	C18.21D6	216,48
C₁₈.₂₂D₆ = Dic₃×C₁₈	central extension (φ=1)	72		C18.22D6	216,56
C₁₈.₂₃D₆ = C₉×C₃⋊D₄	central extension (φ=1)	36	2	C18.23D6	216,58

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Extensions 1→N→G→Q→1 with N=C18 and Q=D6

Extensions 1→N→G→Q→1 with N=C₁₈ and Q=D₆