Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂³

Direct product G=N×Q with N=C₁₈ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₁₈		144		C2^3xC18	144,113

Semidirect products G=N:Q with N=C₁₈ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊C₂³ = C₂³×D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	72		C18:C2^3	144,112

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁C₂³ = C₂×Dic₁₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	144		C18.1C2^3	144,37
C₁₈.₂C₂³ = C₂×C₄×D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	72		C18.2C2^3	144,38
C₁₈.₃C₂³ = C₂×D₃₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	72		C18.3C2^3	144,39
C₁₈.₄C₂³ = D₃₆⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	72	2	C18.4C2^3	144,40
C₁₈.₅C₂³ = D₄×D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	36	4+	C18.5C2^3	144,41
C₁₈.₆C₂³ = D₄⋊₂D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	72	4-	C18.6C2^3	144,42
C₁₈.₇C₂³ = Q₈×D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	72	4-	C18.7C2^3	144,43
C₁₈.₈C₂³ = Q₈⋊₃D₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	72	4+	C18.8C2^3	144,44
C₁₈.₉C₂³ = C₂²×Dic₉	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	144		C18.9C2^3	144,45
C₁₈.₁₀C₂³ = C₂×C₉⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₈	72		C18.10C2^3	144,46
C₁₈.₁₁C₂³ = D₄×C₁₈	central extension (φ=1)	72		C18.11C2^3	144,48
C₁₈.₁₂C₂³ = Q₈×C₁₈	central extension (φ=1)	144		C18.12C2^3	144,49
C₁₈.₁₃C₂³ = C₉×C₄○D₄	central extension (φ=1)	72	2	C18.13C2^3	144,50

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